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Hyperons and Δ’s in rotating protoneutron stars: Global properties

Franciele M. da Silva1,*, Adamu Issifu2,†, Luis C. N. Santos1,‡, Tobias Frederico2,§, and Débora P. Menezes1,∥

  • *Contact author: franciele.m.s@ufsc.br
  • †Contact author: ai@academico.ufpb.br
  • ‡Contact author: luis.santos@ufsc.br
  • §Contact author: tobias@ita.br
  • ∥Contact author: debora.p.m@ufsc.br

Phys. Rev. D 112, 023007 – Published 8 July, 2025

DOI: https://doi.org/10.1103/3djv-zbcj

Abstract

Rotation plays an important role in the evolution of most types of stars; in particular, it can have a strong influence on the evolution of a newly born protoneutron star. In this study, we investigate the effects of rotation on four snapshots of the evolution of protoneutron stars with hyperons and Δ resonances in their cores, from birth as neutrino-rich objects to maturity as cold, catalyzed neutron stars. We focus on the effects of uniform rotation on the macroscopic structure of the star at three rotational frequencies—346.53 Hz, 716 Hz, and the Kepler frequency. Our investigation indicates that the impact of rotation at frequencies of 346.53 and 716 Hz causes minor changes in the maximum gravitational mass but leads to significant changes in the stellar radius, particularly for stars with masses smaller than 2M⊙. However, we observe drastic changes in the star’s mass and radius when considering the Kepler frequency. In addition, we investigate other relevant characteristics of the rotating protoneutron stars as they evolve such as the moment of inertia, compactness, central temperature, and Kerr parameter. Our results suggest that the inclusion of new degrees of freedom in the stellar core lead the star to be more sensitive to rotational dynamics, owing to an increase in compactness, a decrease in the central temperature, and a decrease in the moment of inertia.

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Hyperons and Δ’s in rotating protoneutron stars: Local properties

Franciele M. da Silva, Adamu Issifu, Luis C. N. Santos, Tobias Frederico, and Débora P. Menezes
Phys. Rev. D 113, 063023 (2026)

Article Text

References (102)

  1. J. A. Pons, S. Reddy, M. Prakash, J. M. Lattimer, and J. A. Miralles, Astrophys. J. 513, 780 (1999).
  2. M. Prakash, I. Bombaci, M. Prakash, P. J. Ellis, J. M. Lattimer, and R. Knorren, Phys. Rep. 280, 1 (1997).
  3. A. Burrows and J. M. Lattimer, Astrophys. J. 307, 178 (1986).
  4. J. A. Pons, A. W. Steiner, M. Prakash, and J. M. Lattimer, Phys. Rev. Lett. 86, 5223 (2001).
  5. J. A. Pons, J. A. Miralles, M. Prakash, and J. M. Lattimer, Astrophys. J. 553, 382 (2001).
  6. W. Keil and H. T. Janka, Astron. Astrophys. 296, 145 (1995), https://ui.adsabs.harvard.edu/abs/1995A%26A...296..145K/abstract.
  7. G. T. van Belle, Astron. Astrophys. Rev. 20, 51 (2012).
  8. I. Fukuda, Publ. Astron. Soc. Pac. 94, 271 (1982).
  9. N. Langer, Annu. Rev. Astron. Astrophys. 50, 107 (2012).
  10. S. E. Woosley and J. S. Bloom, Annu. Rev. Astron. Astrophys. 44, 507 (2006).
  11. K. Nakamura, T. Kuroda, T. Takiwaki, and K. Kotake, Astrophys. J. 793, 45 (2014).
  12. P. Mösta, S. Richers, C. D. Ott, R. Haas, A. L. Piro, K. Boydstun, E. Abdikamalov, C. Reisswig, and E. Schnetter, Astrophys. J. Lett. 785, L29 (2014).
  13. A. Summa, H.-T. Janka, T. Melson, and A. Marek, Astrophys. J. 852, 28 (2018).
  14. T. A. Thompson, E. Quataert, and A. Burrows, Astrophys. J. 620, 861 (2005).
  15. A. Heger, S. E. Woosley, and H. C. Spruit, Astrophys. J. 626, 350 (2005).
  16. R. Hirschi, G. Meynet, and A. Maeder, Astron. Astrophys. 425, 649 (2004).
  17. H. T. Janka, in Young Neutron Stars and Their Environments, IAU Symposium Vol. 218, edited by F. Camilo and B. M. Gaensler (2004), p. 3, arXiv:astro-ph/0402200.
  18. G. Martinon, A. Maselli, L. Gualtieri, and V. Ferrari, Phys. Rev. D 90, 064026 (2014).
  19. N. Andersson, Classical Quantum Gravity 20, R105 (2003).
  20. T. A. Thompson, P. Chang, and E. Quataert, Astrophys. J. 611, 380 (2004).
  21. C. D. Ott, A. Burrows, T. A. Thompson, E. Livne, and R. Walder, Astrophys. J. Suppl. Ser. 164, 130 (2006).
  22. A. Marek and H. T. Janka, Astrophys. J. 694, 664 (2009).
  23. T. Takiwaki, K. Kotake, and Y. Suwa, Astrophys. J. 786, 83 (2014).
  24. B. Franzon, V. Dexheimer, and S. Schramm, Phys. Rev. D 94, 044018 (2016).
  25. V. Dexheimer and S. Schramm, Astrophys. J. 683, 943 (2008).
  26. A. Issifu, K. D. Marquez, M. R. Pelicer, and D. P. Menezes, Mon. Not. R. Astron. Soc. 522, 3263 (2023).
  27. G. Malfatti, M. G. Orsaria, G. A. Contrera, F. Weber, and I. F. Ranea-Sandoval, Phys. Rev. C 100, 015803 (2019).
  28. A. R. Raduta, M. Oertel, and A. Sedrakian, Mon. Not. R. Astron. Soc. 499, 914 (2020).
  29. S. Ghosh, S. Shaikh, P. J. Kalita, P. Routaray, B. Kumar, and B. K. Agrawal, Nucl. Phys. B1008, 116697 (2024).
  30. L. Villain, J. A. Pons, P. Cerdá-Durán, and E. Gourgoulhon, Astron. Astrophys. 418, 283 (2004).
  31. T. E. Riley, A. L. Watts, S. Bogdanov et al., Astrophys. J. Lett. 887, L21 (2019).
  32. M. C. Miller, F. K. Lamb, A. J. Dittmann et al., Astrophys. J. Lett. 887, L24 (2019).
  33. T. E. Riley, A. L. Watts, P. S. Ray et al., Astrophys. J. Lett. 918, L27 (2021).
  34. M. C. Miller, F. K. Lamb, A. J. Dittmann et al., Astrophys. J. Lett. 918, L28 (2021).
  35. D. Choudhury, T. Salmi, S. Vinciguerra, T. E. Riley et al., Astrophys. J. Lett. 971, L20 (2024).
  36. T. Salmi, J. S. Deneva, P. S. Ray, A. L. Watts et al., Astrophys. J. 976, 58 (2024).
  37. B. P. Abbott et al., Phys. Rev. Lett. 119, 161101 (2017).
  38. B. P. Abbott, R. Abbott, T. D. Abbott, F. Acernese et al., Astrophys. J. Lett. 848, L12 (2017).
  39. B. P. Abbott, R. Abbott, T. D. Abbott, F. Acernese et al., Astrophys. J. Lett. 848, L13 (2017).
  40. B. P. Abbott, R. Abbott, T. D. Abbott et al., Phys. Rev. Lett. 121, 161101 (2018).
  41. A. Issifu, D. P. Menezes, Z. Rezaei, and T. Frederico, J. Cosmol. Astropart. Phys. 01 (2025) 024.
  42. A. Issifu, F. M. da Silva, and D. P. Menezes, Eur. Phys. J. C 84, 463 (2024).
  43. J.-O. Goussard, P. Haensel, and J. L. Zdunik, Astron. Astrophys. 321, 822 (1997), arXiv:astroph/9610265.
  44. G. B. Cook, S. L. Shapiro, and S. A. Teukolsky, Astrophys. J. 398, 203 (1992).
  45. G. Bozzola, N. Stergioulas, and A. Bauswein, Mon. Not. R. Astron. Soc. 474, 3557 (2018).
  46. F. Galeazzi, S. Yoshida, and Y. Eriguchi, Astron. Astrophys. 541, A156 (2012).
  47. V. Paschalidis and N. Stergioulas, Living Rev. Relativity 20, 7 (2017).
  48. M. G. de Paoli, D. P. Menezes, L. B. Castro, and C. C. Barros, Jr, J. Phys. G 40, 055007 (2013).
  49. I. Bombaci, J. Phys. Soc. Jpn. Conf. Proc. 17, 101002 (2017).
  50. D. P. Menezes, Universe 7, 267 (2021).
  51. X. Roca-Maza, X. Vinas, M. Centelles, P. Ring, and P. Schuck, Phys. Rev. C 84, 054309 (2011); 93, 069905(E) (2016).
  52. B. T. Reed, F. J. Fattoyev, C. J. Horowitz, and J. Piekarewicz, Phys. Rev. Lett. 126, 172503 (2021).
  53. J. M. Lattimer, Particles 6, 30 (2023).
  54. M. Dutra, O. Lourenço, S. S. Avancini, B. V. Carlson, A. Delfino, D. P. Menezes, C. Providência, S. Typel, and J. R. Stone, Phys. Rev. C 90, 055203 (2014).
  55. N. K. Glendenning and S. A. Moszkowski, Phys. Rev. Lett. 67, 2414 (1991).
  56. L. L. Lopes and D. P. Menezes, Nucl. Phys. A1009, 122171 (2021).
  57. A. Pais, Rev. Mod. Phys. 38, 215 (1966).
  58. S. Weissenborn, D. Chatterjee, and J. Schaffner-Bielich, Nucl. Phys. A881, 62 (2012).
  59. L. L. Lopes, K. D. Marquez, and D. P. Menezes, Phys. Rev. D 107, 036011 (2023).
  60. A. Sedrakian and A. Harutyunyan, Eur. Phys. J. A 58, 137 (2022).
  61. J. J. Li and A. Sedrakian, Astrophys. J. Lett. 874, L22 (2019).
  62. T. Schürhoff, S. Schramm, and V. Dexheimer, Astrophys. J. Lett. 724, L74 (2010).
  63. M. Prakash, M. Prakash, J. M. Lattimer, and C. J. Pethick, Astrophys. J. Lett. 390, L77 (1992).
  64. A. Issifu, P. Thakur, F. M. da Silva, K. D. Marquez, D. P. Menezes, M. Dutra, O. Lourenço, and T. Frederico, Phys. Rev. D 111, 083026 (2025).
  65. H. Pfister, Gen. Relativ. Gravit. 39, 1735 (2007).
  66. I. Ciufolini and E. C. Pavlis, Nature (London) 431, 958 (2004).
  67. S. Bonazzola, E. Gourgoulhon, M. Salgado, and J. A. Marck, Astron. Astrophys. 278, 421 (1993), https://ui.adsabs.harvard.edu/abs/1993A%26A...278..421B/abstract.
  68. M. Marques, M. Oertel, M. Hempel, and J. Novak, Phys. Rev. C 96, 045806 (2017).
  69. H. Komatsu, Y. Eriguchi, and I. Hachisu, Mon. Not. R. Astron. Soc. 237, 355 (1989).
  70. G. B. Cook, S. L. Shapiro, and S. A. Teukolsky, Astrophys. J. 422, 227 (1994).
  71. R. D. Sorkin, Astrophys. J. 257, 847 (1982).
  72. J. L. Friedman, J. R. Ipser, and R. D. Sorkin, Astrophys. J. 325, 722 (1988).
  73. J. D. Kaplan, C. D. Ott, E. P. O’Connor, K. Kiuchi, L. Roberts, and M. Duez, Astrophys. J. 790, 19 (2014).
  74. N. Andersson and K. D. Kokkotas, Int. J. Mod. Phys. D 10, 381 (2001).
  75. H. T. Cromartie, E. Fonseca, S. M. Ransom et al., Nat. Astron. 4, 72 (2020).
  76. J. W. T. Hessels, S. M. Ransom, I. H. Stairs, P. C. C. Freire, V. M. Kaspi, and F. Camilo, Science 311, 1901 (2006).
  77. H.-T. Janka, Annu. Rev. Nucl. Part. Sci. 62, 407 (2012).
  78. B. P. Abbott, R. Abbott, T. D. Abbott, S. Abraham, F. Acernese et al., Phys. Rev. X 9, 031040 (2019).
  79. C. G. Bassa, Z. Pleunis, J. W. T. Hessels, E. C. Ferrara et al., Astrophys. J. Lett. 846, L20 (2017).
  80. R. W. Romani, D. Kandel, A. V. Filippenko, T. G. Brink, and W. Zheng, Astrophys. J. Lett. 934, L17 (2022).
  81. S. Khadkikar, A. R. Raduta, M. Oertel, and A. Sedrakian, Phys. Rev. C 103, 055811 (2021).
  82. K. P. Nunna, S. Banik, and D. Chatterjee, Astrophys. J. 896, 109 (2020).
  83. P. S. Koliogiannis and C. C. Moustakidis, Astrophys. J. 912, 69 (2021).
  84. S. S. Lenka, P. Char, and S. Banik, J. Phys. G Nucl. Phys. 46, 105201 (2019).
  85. S. M. Morsink, N. Stergioulas, and S. R. Blattnig, Astrophys. J. 510, 854 (1999).
  86. K. S. Thorne, Astrophys. J. 191, 507 (1974).
  87. P. S. Koliogiannis and C. C. Moustakidis, Phys. Rev. C 101, 015805 (2020).
  88. H. O. Silva, A. M. Holgado, A. Cárdenas-Avendaño, and N. Yunes, Phys. Rev. Lett. 126, 181101 (2021).
  89. Y. Li, J. Wang, Z. Wu, and D. Wen, Classical Quantum Gravity 39, 035014 (2022).
  90. M. Bejger, T. Bulik, and P. Haensel, Mon. Not. R. Astron. Soc. 364, 635 (2005).
  91. M. Burgay, N. D’Amico, A. Possenti, R. N. Manchester et al., Nature (London) 426, 531 (2003).
  92. M. Kramer and N. Wex, Classical Quantum Gravity 26, 073001 (2009).
  93. I. A. Morrison, T. W. Baumgarte, S. L. Shapiro, and V. R. Pandharipande, Astrophys. J. Lett. 617, L135 (2004).
  94. J. M. Lattimer and B. F. Schutz, Astrophys. J. 629, 979 (2005).
  95. P. Landry and B. Kumar, Astrophys. J. Lett. 868, L22 (2018).
  96. Y. Lim, J. W. Holt, and R. J. Stahulak, Phys. Rev. C 100, 035802 (2019).
  97. Z. Miao, A. Li, and Z.-G. Dai, Mon. Not. R. Astron. Soc. 515, 5071 (2022).
  98. A. W. Steiner, S. Gandolfi, F. J. Fattoyev, and W. G. Newton, Phys. Rev. C 91, 015804 (2015).
  99. C. Breu and L. Rezzolla, Mon. Not. R. Astron. Soc. 459, 646 (2016).
  100. D. G. Ravenhall and C. J. Pethick, Astrophys. J. 424, 846 (1994).
  101. J. M. Lattimer and M. Prakash, Astrophys. J. 550, 426 (2001).
  102. S. K. Greif, K. Hebeler, J. M. Lattimer, C. J. Pethick, and A. Schwenk, Astrophys. J. 901, 155 (2020).

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