- Open Access
Direct nonparametric multimessenger constraints on the equation of state of cold dense nuclear matter
Phys. Rev. D 111, 123029 – Published 20 June, 2025
DOI: https://doi.org/10.1103/6d9c-c4kx
Abstract
We utilize the now substantial amount of astrophysical observations of neutron stars (NSs), along with perturbative quantum chromodynamics (pQCD) calculations at high density, to directly constrain the NS equation of state (EOS). To this end, we construct nonparametric EOS priors by using Gaussian processes trained on 75 EOSs, which include models with either hadrons, hyperons, or quarks at high densities. We create a prior using the full EOS sample (model agnostic), and one prior for each EOS family to test model discrimination. We introduce a novel inference approach, which allows the simultaneous sampling of intrinsic and extrinsic parameters of binary NS mergers, as well as a nonparametric equation of state. We showcase this method in a Bayesian updating scheme by first performing a complete analysis of the binary NS merger event GW170817 with minimal assumptions, and sequentially adding information from x-ray and radio NS observations, along with pQCD calculations. Besides providing standard constraints, such as the pressure at twice nuclear saturation density , at 95% confidence level, for the model agnostic prior, our methodology shows how the choice of EOS families used in conditioning changes the inferred astrophysical properties of the EOS, namely tidal deformability and maximum supported NS mass. We find hyperonic priors predicting higher tidal deformabilities for a NS, and hadronic priors being preferred by the considered astrophysical data.
Physics Subject Headings (PhySH)
Article Text
References (223)
- F. Özel and P. Freire, Annu. Rev. Astron. Astrophys. 54, 401 (2016).
- J. Schaffner-Bielich, Compact Star Physics (Cambridge University Press, Cambridge, England, 2020).
- F. Ozel, D. Psaltis, T. Guver, G. Baym, C. Heinke, and S. Guillot, Astrophys. J. 820, 28 (2016).
- R. C. Tolman, Phys. Rev. 55, 364 (1939).
- J. R. Oppenheimer and G. M. Volkoff, Phys. Rev. 55, 374 (1939).
- L. Lindblom, Phys. Rev. D 97, 123019 (2018).
- L. Lindblom, Phys. Rev. D 82, 103011 (2010).
- J. S. Read, B. D. Lackey, B. J. Owen, and J. L. Friedman, Phys. Rev. D 79, 124032 (2009).
- L. Lindblom and N. M. Indik, Phys. Rev. D 86, 084003 (2012).
- L. Lindblom and N. M. Indik, Phys. Rev. D 89, 064003 (2014); 93, 129903(E) (2016).
- G. Raaijmakers et al., Astrophys. J. Lett. 893, L21 (2020).
- J.-L. Jiang, C. Ecker, and L. Rezzolla, Astrophys. J. 949, 11 (2023).
- M. F. Carney, L. E. Wade, and B. S. Irwin, Phys. Rev. D 98, 063004 (2018).
- I. Legred, K. Chatziioannou, R. Essick, S. Han, and P. Landry, Phys. Rev. D 104, 063003 (2021).
- I. Legred, K. Chatziioannou, R. Essick, and P. Landry, Phys. Rev. D 105, 043016 (2022).
- P. Landry and R. Essick, Phys. Rev. D 99, 084049 (2019).
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. Lett. 119, 161101 (2017).
- M. C. Miller et al., Astrophys. J. Lett. 887, L24 (2019).
- M. C. Miller et al., Astrophys. J. Lett. 918, L28 (2021).
- O. Komoltsev and A. Kurkela, Phys. Rev. Lett. 128, 202701 (2022).
- R. Essick, P. Landry, and D. E. Holz, Phys. Rev. D 101, 063007 (2020).
- https://compose.obspm.fr
- S. Typel, M. Oertel, and T. Klähn, Phys. Part. Nucl. 46, 633 (2015).
- M. Oertel, M. Hempel, T. Klähn, and S. Typel, Rev. Mod. Phys. 89, 015007 (2017).
- S. Typel et al. (CompOSE Core Team Collaboration), Eur. Phys. J. A 58, 221 (2022).
- M. Agathos, J. Meidam, W. Del Pozzo, T. G. F. Li, M. Tompitak, J. Veitch, S. Vitale, and C. Van Den Broeck, Phys. Rev. D 92, 023012 (2015).
- B. D. Lackey and L. Wade, Phys. Rev. D 91, 043002 (2015).
- D. Alvarez-Castillo, A. Ayriyan, S. Benic, D. Blaschke, H. Grigorian, and S. Typel, Eur. Phys. J. A 52, 69 (2016).
- B. Margalit and B. D. Metzger, Astrophys. J. Lett. 850, L19 (2017).
- E. Annala, T. Gorda, A. Kurkela, and A. Vuorinen, Phys. Rev. Lett. 120, 172703 (2018).
- E. R. Most, L. R. Weih, L. Rezzolla, and J. Schaffner-Bielich, Phys. Rev. Lett. 120, 261103 (2018).
- D. Radice, A. Perego, F. Zappa, and S. Bernuzzi, Astrophys. J. Lett. 852, L29 (2018).
- L. Rezzolla, E. R. Most, and L. R. Weih, Astrophys. J. Lett. 852, L25 (2018).
- T. E. Riley, G. Raaijmakers, and A. L. Watts, Mon. Not. R. Astron. Soc. 478, 1093 (2018).
- I. Tews, J. Margueron, and S. Reddy, Phys. Rev. C 98, 045804 (2018).
- S. K. Greif, G. Raaijmakers, K. Hebeler, A. Schwenk, and A. L. Watts, Mon. Not. R. Astron. Soc. 485, 5363 (2019).
- K. Kiuchi, K. Kyutoku, M. Shibata, and K. Taniguchi, Astrophys. J. Lett. 876, L31 (2019).
- M. Shibata, E. Zhou, K. Kiuchi, and S. Fujibayashi, Phys. Rev. D 100, 023015 (2019).
- C. D. Capano, I. Tews, S. M. Brown, B. Margalit, S. De, S. Kumar, D. A. Brown, B. Krishnan, and S. Reddy, Nat. Astron. 4, 625 (2020).
- M. Cierniak and D. Blaschke, Eur. Phys. J. Special Topics 229, 3663 (2020).
- T. Dietrich, M. W. Coughlin, P. T. H. Pang, M. Bulla, J. Heinzel, L. Issa, I. Tews, and S. Antier, Science 370, 1450 (2020).
- P. Landry, R. Essick, and K. Chatziioannou, Phys. Rev. D 101, 123007 (2020).
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. Lett. 121, 161101 (2018).
- J. Antoniadis et al., Science 340, 6131 (2013).
- M. C. Miller, C. Chirenti, and F. K. Lamb, Astrophys. J. 888, 12 (2020).
- J. Alsing, H. O. Silva, and E. Berti, Mon. Not. R. Astron. Soc. 478, 1377 (2018).
- Y.-Z. Fan, M.-Z. Han, J.-L. Jiang, D.-S. Shao, and S.-P. Tang, Phys. Rev. D 109, 043052 (2024).
- R. Essick, I. Legred, K. Chatziioannou, S. Han, and P. Landry, Phys. Rev. D 108, 043013 (2023).
- Y. Fujimoto, K. Fukushima, and K. Murase, Phys. Rev. D 98, 023019 (2018).
- Y. Fujimoto, K. Fukushima, and K. Murase, Phys. Rev. D 101, 054016 (2020).
- Y. Fujimoto, K. Fukushima, and K. Murase, J. High Energy Phys. 03 (2021) 273.
- Y. Fujimoto, K. Fukushima, S. Kamata, and K. Murase, Phys. Rev. D 110, 034035 (2024).
- O. Komoltsev, R. Somasundaram, T. Gorda, A. Kurkela, J. Margueron, and I. Tews, Phys. Rev. D 109, 094030 (2024).
- G. Ashton et al., Astrophys. J. Suppl. Ser. 241, 27 (2019).
- G. Ashton et al., Astrophys. J. Suppl. Ser. 241, 27 (2019).
- K. Yagi and N. Yunes, Classical Quantum Gravity 33, 13LT01 (2016).
- K. Yagi and N. Yunes, Phys. Rep. 681, 1 (2017).
- T. Gorda, K. Hebeler, A. Kurkela, A. Schwenk, and A. Vuorinen, Astrophys. J. 955, 100 (2023).
- T. Gorda, O. Komoltsev, A. Kurkela, and A. Mazeliauskas, J. High Energy Phys. 06 (2023) 002.
- T. Hinderer, Astrophys. J. 677, 1216 (2008).
- T. Hinderer, B. D. Lackey, R. N. Lang, and J. S. Read, Phys. Rev. D 81, 123016 (2010).
- B. P. Abbott et al. (LIGO Scientific, Virgo, Fermi GBM, INTEGRAL, IceCube, AstroSat Cadmium Zinc Telluride Imager Team, IPN, Insight-Hxmt, ANTARES, Swift, AGILE Team, 1M2H Team, Dark Energy Camera GW-EM, DES, DLT40, GRAWITA, Fermi-LAT, ATCA, ASKAP, Las Cumbres Observatory Group, OzGrav, DWF (Deeper Wider Faster Program), AST3, CAASTRO, VINROUGE, MASTER, J-GEM, GROWTH, JAGWAR, CaltechNRAO, TTU-NRAO, NuSTAR, Pan-STARRS, MAXI Team, TZAC Consortium, KU, Nordic Optical Telescope, ePESSTO, GROND, Texas Tech University, SALT Group, TOROS, BOOTES, MWA, CALET, IKI-GW Follow-up, H.E.S.S., LOFAR, LWA, HAWC, Pierre Auger, ALMA, Euro VLBI Team, Pi of Sky, Chandra Team at McGill University, DFN, ATLAS Telescopes, High Time Resolution Universe Survey, RIMAS, RATIR, SKA South Africa/MeerKAT Collaborations), Astrophys. J. Lett. 848, L12 (2017).
- B. P. Abbott et al. (LIGO Scientific, Virgo, Fermi-GBM, INTEGRAL Collaborations), Astrophys. J. Lett. 848, L13 (2017).
- A. Goldstein et al., Astrophys. J. Lett. 848, L14 (2017).
- V. Savchenko et al., Astron. Astrophys. 603, A46 (2017).
- D. Wysocki, R. O’Shaughnessy, L. Wade, and J. Lange, arXiv:2001.01747.
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Astrophys. J. Lett. 892, L3 (2020).
- R. Abbott et al. (LIGO Scientific and Virgo Collaborations), Astrophys. J. Lett. 896, L44 (2020).
- R. Abbott et al. (KAGRA, Virgo, and LIGO Scientific Collaborations), Phys. Rev. X 13, 041039 (2023).
- R. Abbott et al. (LIGO Scientific, KAGRA, and Virgo Collaborations), Astrophys. J. Lett. 915, L5 (2021).
- A. G. Abac et al. (LIGO Scientific, Virgo, and KAGRA Collaborations), Astrophys. J. Lett. 970, L34 (2024).
There is a glitch in the L1 data segment which was modeled and subtracted, along with other known noise sources, in the second data release. This is also the version used in Ref. [43].
- https://www.gw-openscience.org/events/GW170817/
- E. Payne, C. Talbot, P. D. Lasky, E. Thrane, and J. S. Kissel, Phys. Rev. D 102, 122004 (2020).
- LIGO Scientific Collaboration, LIGO Algorithm Library—lalsuite, free software (GPL) (2018).
- K. Wette, SoftwareX 12, 100634 (2020).
- M. Hannam, P. Schmidt, A. Bohé, L. Haegel, S. Husa, F. Ohme, G. Pratten, and M. Pürrer, Phys. Rev. Lett. 113, 151101 (2014).
- S. Husa, S. Khan, M. Hannam, M. Pürrer, F. Ohme, X. Jiménez Forteza, and A. Bohé, Phys. Rev. D 93, 044006 (2016).
- T. Dietrich, A. Samajdar, S. Khan, N. K. Johnson-McDaniel, R. Dudi, and W. Tichy, Phys. Rev. D 100, 044003 (2019).
- A. Taracchini et al., Phys. Rev. D 89, 061502 (2014).
- E. Thrane and C. Talbot, Pub. Astron. Soc. Aust. 36, e010 (2019); 37, e036(E) (2020).
- B. Zackay, L. Dai, and T. Venumadhav, arXiv:1806.08792.
- T. E. Riley et al., Astrophys. J. Lett. 887, L21 (2019).
- The posteriors for PSR and PSR are available at https://zenodo.org/record/3473466 and https://zenodo.org/record/4670689, respectively.
- J. Golomb, I. Legred, K. Chatziioannou, and P. Landry, Phys. Rev. D 111, 023029 (2025).
- A. Kurkela, E. S. Fraga, J. Schaffner-Bielich, and A. Vuorinen, Astrophys. J. 789, 127 (2014).
- T. Gorda, O. Komoltsev, and A. Kurkela, Astrophys. J. 950, 107 (2023).
- T. Gorda, A. Kurkela, R. Paatelainen, S. Säppi, and A. Vuorinen, Phys. Rev. Lett. 127, 162003 (2021).
- M. Cacciari and N. Houdeau, J. High Energy Phys. 09 (2011). 039.
- A python implementation of this likelihood construction can be found at https://zenodo.org/records/10592568.
- B. Biswas and S. Rosswog, arXiv:2408.15192.
- U.-G. Meißner, Nucl. Phys. News 24, 11 (2014).
- R. Machleidt and D. R. Entem, Phys. Rep. 503, 1 (2011).
- H.-W. Hammer, A. Nogga, and A. Schwenk, Rev. Mod. Phys. 85, 197 (2013).
- K. Hebeler, Phys. Rep. 890, 1 (2021).
- D. Choudhury et al., Astrophys. J. Lett. 971, L20 (2024).
- D. Adhikari et al. (PREX Collaboration), Phys. Rev. Lett. 126, 172502 (2021).
- D. Adhikari et al. (CREX Collaboration), Phys. Rev. Lett. 129, 042501 (2022).
- King’s College London, King’s Computational Research, Engineering and Technology Environment (CREATE) (2023), 10.18742/rnvf-m076
- https://compose.obspm.fr
- https://compose.obspm.fr/manual/
- A. Akmal, V. R. Pandharipande, and D. G. Ravenhall, Phys. Rev. C 58, 1804 (1998).
- F. Douchin and P. Haensel, Astron. Astrophys. 380, 151 (2001).
- G. Baym, C. Pethick, and P. Sutherland, Astrophys. J. 170, 299 (1971).
- M. Baldo, I. Bombaci, and G. F. Burgio, Astron. Astrophys. 328, 274 (1997).
- I. Bombaci and D. Logoteta, Astron. Astrophys. 609, A128 (2018).
- T. Carreau, F. Gulminelli, and J. Margueron, Eur. Phys. J. A 55, 188 (2019).
- S. Goriely, N. Chamel, and J. M. Pearson, Phys. Rev. C 82, 035804 (2010).
- G. Audi, F. G. Kondev, M. Wang, W. J. Huang, and S. Naimi, Chin. Phys. C 41, 030001 (2017).
- J. M. Pearson, N. Chamel, A. Y. Potekhin, A. F. Fantina, C. Ducoin, A. K. Dutta, and S. Goriely, Mon. Not. R. Astron. Soc. 481, 2994 (2018); 486, 768(E) (2019).
- J. M. Pearson, N. Chamel, and A. Y. Potekhin, Phys. Rev. C 101, 015802 (2020).
- J. M. Pearson and N. Chamel, Phys. Rev. C 105, 015803 (2022).
- V. Allard and N. Chamel, Universe 7, 470 (2021).
- S. Goriely, N. Chamel, and J. M. Pearson, Phys. Rev. C 88, 024308 (2013).
- L. Perot, N. Chamel, and A. Sourie, Phys. Rev. C 100, 035801 (2019).
- A. Welker et al., Phys. Rev. Lett. 119, 192502 (2017).
- Y. Xu, S. Goriely, A. Jorissen, G. Chen, and M. Arnould, Astron. Astrophys. 549, A106 (2013).
- L. Engvik, G. Bao, M. Hjorth-Jensen, E. Osnes, and E. Ostgaard, Astrophys. J. 469, 794 (1996).
- P. Danielewicz and J. Lee, Nucl. Phys. A818, 36 (2009).
- F. Gulminelli and A. R. Raduta, Phys. Rev. C 92, 055803 (2015).
- B. K. Agrawal, S. Shlomo, and V. K. Au, Phys. Rev. C 72, 014310 (2005).
- H. Müther, M. Prakash, and T. L. Ainsworth, Phys. Lett. B 199, 469 (1987).
- J. Friedrich and P. G. Reinhard, Phys. Rev. C 33, 335 (1986).
- B. K. Agrawal, S. Shlomo, and V. K. Au, Phys. Rev. C 68, 031304 (2003).
- P. G. Reinhard and H. Flocard, Nucl. Phys. A584, 467 (1995).
- W. Nazarewicz, J. Dobaczewski, T. Werner, J. Maruhn, P.-G. Reinhard, K. Rutz, C. Chinn, A. Umar, and M. Strayer, Phys. Rev. C 53, 740 (1996).
- L. Bennour, P.-H. Heenen, P. Bonche, J. Dobaczewski, and H. Flocard, Phys. Rev. C 40, 2834 (1989).
- P. G. Reinhard, D. J. Dean, W. Nazarewicz, J. Dobaczewski, J. A. Maruhn, and M. R. Strayer, Phys. Rev. C 60, 014316 (1999).
- E. Chabanat, Interactions effectives pour des conditions extrêmes d’isospin, Other thesis, Lyon University, 1995.
- E. Chabanat, J. Meyer, P. Bonche, R. Schaeffer, and P. Haensel, Nucl. Phys. A627, 710 (1997).
- P. Gogelein, E. N. E. van Dalen, C. Fuchs, and H. Muther, Phys. Rev. C 77, 025802 (2008).
- L. Scurto, H. Pais, and F. Gulminelli, Phys. Rev. D 109, 103015 (2024).
- V. Dexheimer and S. Schramm, Astrophys. J. 683, 943 (2008).
- V. Dexheimer, R. Negreiros, and S. Schramm, Phys. Rev. C 92, 012801 (2015).
- T. Schürhoff, S. Schramm, and V. Dexheimer, Astrophys. J. Lett. 724, L74 (2010).
- V. Dexheimer, Pub. Astron. Soc. Aust. 34, E006 (2017).
- V. A. Dexheimer and S. Schramm, Phys. Rev. C 81, 045201 (2010).
- V. Dexheimer, R. O. Gomes, T. Klähn, S. Han, and M. Salinas, Phys. Rev. C 103, 025808 (2021).
- B. D. Lackey, M. Nayyar, and B. J. Owen, Phys. Rev. D 73, 024021 (2006).
- T. Gaitanos, M. Di Toro, S. Typel, V. Baran, C. Fuchs, V. Greco, and H. H. Wolter, Nucl. Phys. A732, 24 (2004).
- M. Oertel, C. Providência, F. Gulminelli, and A. R. Raduta, J. Phys. G 42, 075202 (2015).
- F. Grill, H. Pais, C. Providência, I. Vidaña, and S. S. Avancini, Phys. Rev. C 90, 045803 (2014).
- N. K. Glendenning and S. A. Moszkowski, Phys. Rev. Lett. 67, 2414 (1991).
- S. Typel, G. Ropke, T. Klahn, D. Blaschke, and H. H. Wolter, Phys. Rev. C 81, 015803 (2010).
- A. R. Raduta, M. Oertel, and A. Sedrakian, Mon. Not. R. Astron. Soc. 499, 914 (2020).
- A. R. Raduta, Eur. Phys. J. A 58, 115 (2022).
- X. Viñas, C. Gonzalez-Boquera, M. Centelles, C. Mondal, and L. M. Robledo, Symmetry 13, 1613 (2021).
- M. Alford, M. Braby, M. Paris, and S. Reddy, Astrophys. J. 629, 969 (2005).
- H. Togashi, K. Nakazato, Y. Takehara, S. Yamamuro, H. Suzuki, and M. Takano, Nucl. Phys. A961, 78 (2017).
- G. Baym, T. Hatsuda, T. Kojo, P. D. Powell, Y. Song, and T. Takatsuka, Rep. Prog. Phys. 81, 056902 (2018).
- G. Baym, S. Furusawa, T. Hatsuda, T. Kojo, and H. Togashi, Astrophys. J. 885, 42 (2019).
- A. Clevinger, J. Corkish, K. Aryal, and V. Dexheimer, Eur. Phys. J. A 58, 96 (2022).
- V. Dexheimer, R. de Oliveira Gomes, S. Schramm, and H. Pais, J. Phys. G 46, 034002 (2019).
- N. Jokela, M. Järvinen, and J. Remes, J. High Energy Phys. 03 (2019) 041.
- T. Ishii, M. Järvinen, and G. Nijs, J. High Energy Phys. 07 (2019) 003.
- C. Ecker, M. Järvinen, G. Nijs, and W. van der Schee, Phys. Rev. D 101, 103006 (2020).
- N. Jokela, M. Järvinen, G. Nijs, and J. Remes, Phys. Rev. D 103, 086004 (2021).
- T. Kojo, G. Baym, and T. Hatsuda, Astrophys. J. 934, 46 (2022).
- C. Drischler, S. Han, J. M. Lattimer, M. Prakash, S. Reddy, and T. Zhao, Phys. Rev. C 103, 045808 (2021).
- M. Hempel and J. Schaffner-Bielich, Nucl. Phys. A837, 210 (2010).
- K. Otto, M. Oertel, and B.-J. Schaefer, Phys. Rev. D 101, 103021 (2020).
- K. Otto, M. Oertel, and B.-J. Schaefer, Eur. Phys. J. Special Topics 229, 3629 (2020).
- J. G. Martinez, K. Stovall, P. C. C. Freire, J. S. Deneva, F. A. Jenet, M. A. McLaughlin, M. Bagchi, S. D. Bates, and A. Ridolfi, Astrophys. J. 812, 143 (2015).
- R. S. Lynch et al., Astrophys. J. 859, 93 (2018).
- A. Ridolfi, P. C. C. Freire, Y. Gupta, and S. M. Ransom, Mon. Not. R. Astron. Soc. 490, 3860 (2019).
- J. K. Swiggum et al., Astrophys. J. 944, 154 (2023).
- E. Fonseca, I. H. Stairs, and S. E. Thorsett, Astrophys. J. 787, 82 (2014).
- R. D. Ferdman et al., Mon. Not. R. Astron. Soc. 443, 2183 (2014).
- A. D. Cameron et al., in 16th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories (2022), arXiv:2203.15995.
- R. S. Lynch, P. C. C. Freire, S. M. Ransom, and B. A. Jacoby, Astrophys. J. 745, 109 (2012).
- H. T. Haniewicz, R. D. Ferdman, P. C. C. Freire, D. J. Champion, K. A. Bunting, D. R. Lorimer, and M. A. McLaughlin, Mon. Not. R. Astron. Soc. 500, 4620 (2020).
- J. van Leeuwen et al., Astrophys. J. 798, 118 (2015).
- R. D. Ferdman et al., Nature (London) 583, 211 (2020).
- J. M. Weisberg, D. J. Nice, and J. H. Taylor, Astrophys. J. 722, 1030 (2010).
- B. A. Jacoby, P. B. Cameron, F. A. Jenet, S. B. Anderson, R. N. Murty, and S. R. Kulkarni, Astrophys. J. Lett. 644, L113 (2006).
- A. M. Archibald, N. V. Gusinskaia, J. W. T. Hessels, A. T. Deller, D. L. Kaplan, D. R. Lorimer, R. S. Lynch, S. M. Ransom, and I. H. Stairs, Nature (London) 559, 73 (2018).
- D. J. Reardon et al., Mon. Not. R. Astron. Soc. 455, 1751 (2016).
- L. E. Kasian, Radio observations of two binary pulsars, Ph.D. thesis, University of British Columbia, 2012.
- G. Desvignes et al. (EPTA Collaboration), Mon. Not. R. Astron. Soc. 458, 3341 (2016).
- M. Serylak et al., Astron. Astrophys. 665, A53 (2022).
- D. Mata Sánchez, A. G. Istrate, M. H. van Kerkwijk, R. P. Breton, and D. L. Kaplan, Mon. Not. R. Astron. Soc. 494, 4031 (2020).
- D. J. Reardon et al., Mon. Not. R. Astron. Soc. 507, 2137 (2021).
- Z. Arzoumanian et al. (NANOGrav Collaboration), Astrophys. J. Suppl. Ser. 235, 37 (2018).
- P. C. C. Freire, S. M. Ransom, S. Begin, I. H. Stairs, J. W. T. Hessels, L. H. Frey, and F. Camilo, Astrophys. J. 675, 670 (2008).
- A. Berthereau, L. Guillemot, P. C. C. Freire, M. Kramer, V. Venkatraman Krishnan, I. Cognard, G. Theureau, M. Bailes, M. C. Bernadich, I, and M. E. Lower, Astron. Astrophys. 674, A71 (2023).
- J. Antoniadis, M. H. van Kerkwijk, D. Koester, P. C. C. Freire, N. Wex, T. M. Tauris, M. Kramer, and C. G. Bassa, Mon. Not. R. Astron. Soc. 423, 3316 (2012).
- B. C. Andersen and S. M. Ransom, Astrophys. J. Lett. 863, L13 (2018).
- S. E. Thorsett and D. Chakrabarty, Astrophys. J. 512, 288 (1999).
- R. D. Ferdman et al., Astrophys. J. 711, 764 (2010).
- C. Ng, L. Guillemot, P. C. C. Freire, M. Kramer, D. J. Champion, I. Cognard, G. Theureau, and E. D. Barr, Mon. Not. R. Astron. Soc. 493, 1261 (2020).
- K. Liu et al., Mon. Not. R. Astron. Soc. 499, 2276 (2020).
- C. G. Bassa, M. H. van Kerkwijk, D. Koester, and F. Verbunt, Astron. Astrophys. 456, 295 (2006).
- E. D. Barr, P. C. C. Freire, M. Kramer, D. J. Champion, M. Berezina, C. G. Bassa, A. G. Lyne, and B. W. Stappers, Mon. Not. R. Astron. Soc. 465, 1711 (2017).
- W. W. Zhu et al., Astrophys. J. 881, 165 (2019).
- J. W. McKee et al., Mon. Not. R. Astron. Soc. 499, 4082 (2020).
- M. Berezina et al., Mon. Not. R. Astron. Soc. 470, 4421 (2017).
- Y. J. Guo et al., Astron. Astrophys. 654, A16 (2021).
- K. Stovall et al., Astrophys. J. 870, 74 (2019).
- R. W. Romani, D. Kandel, A. V. Filippenko, T. G. Brink, and W. Zheng, Astrophys. J. Lett. 934, L17 (2022).
- D. Kandel and R. W. Romani, Astrophys. J. 942, 6 (2023).
- M. R. Kennedy et al., Mon. Not. R. Astron. Soc. 512, 3001 (2022).
- C. J. Clark et al., Nat. Astron. 7, 451 (2023).
- T. Shahbaz, M. Linares, and R. P. Breton, Mon. Not. R. Astron. Soc. 472, 4287 (2017).
- J. Strader, K.-L. Li, L. Chomiuk, C. O. Heinke, A. Udalski, M. Peacock, L. Shishkovsky, and E. Tremou, Astrophys. J. 831, 89 (2016).
- S. J. Swihart et al., Astrophys. J. 851, 31 (2017).
- J. Strader et al., Astrophys. J. 872, 42 (2019).
- S. J. Swihart, J. Strader, L. Shishkovsky, L. Chomiuk, A. Bahramian, C. O. Heinke, J. C. A. Miller-Jones, P. G. Edwards, and C. C. Cheung, Astrophys. J. 866, 83 (2018).
- C. J. Clark et al., Mon. Not. R. Astron. Soc. 502, 915 (2021).
- E. C. Bellm et al., Astrophys. J. 816, 74 (2016).
- D. Kandel, R. W. Romani, A. V. Filippenko, T. G. Brink, and W. Zheng, Astrophys. J. 903, 39 (2020).
- J. F. Bell, M. S. Bessell, B. W. Stappers, M. Bailes, V. M. Kaspi, Astrophys. J. 447, L117 (1995).
- M. Falanga, E. Bozzo, A. Lutovinov, J. M. Bonnet-Bidaud, Y. Fetisova, and J. Puls, Astron. Astrophys. 577, A130 (2015).
- M. L. Rawls, J. A. Orosz, J. E. McClintock, M. A. P. Torres, C. D. Bailyn, and M. M. Buxton, Astrophys. J. 730, 25 (2011).
- V. Bhalerao, M. H. van Kerkwijk, and F. Harrison, Astrophys. J. 757, 10 (2012).
- D. Steeghs and P. G. Jonker, Astrophys. J. Lett. 669, L85 (2007).
- J. Nättilä, M. C. Miller, A. W. Steiner, J. J. E. Kajava, V. F. Suleimanov, and J. Poutanen, Astron. Astrophys. 608, A31 (2017).
- J. Casares, J. I. G. Hernandez, G. Israelian, and R. Rebolo, Mon. Not. R. Astron. Soc. 401, 2517 (2010).
- T. Munoz-Darias, J. Casares, and I. G. Martinez-Pais, Astrophys. J. 635, 502 (2005).
- D. M. Gelino, J. A. Tomsick, and W. A. Heindl, in Proceedings of the American Astronomical Society Meeting (2002), Vol. 201, p. 1199, https://ui.adsabs.harvard.edu/abs/1997A%26A...328..274B/abstract.
- C. Meegan et al., Astrophys. J. 702, 791 (2009).
- B. P. Abbott et al. (LIGO Scientific and Virgo Collaborations), Phys. Rev. X 9, 011001 (2019).
- T. M. Tauris et al., Astrophys. J. 846, 170 (2017).
- K. Krishna, A. Vijaykumar, A. Ganguly, C. Talbot, S. Biscoveanu, R. N. George, N. Williams, and A. Zimmerman, arXiv:2312.06009.