Reuse & Permissions

It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4.0 International license. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI are maintained. Please note that some figures may have been included with permission from other third parties. It is your responsibility to obtain the proper permission from the rights holder directly for these figures.

Export citation

Export citation

Choose format for download:

Download Citation
  • Open Access

Phase transitions of boson stars in scalar-tensor theories

Hyat Huang1,*, Burkhard Kleihaus2,†, Jutta Kunz2,‡, Meng-Yun Lai1,§, Eugen Radu3,∥, and De-Cheng Zou1,¶

  • 1College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China
  • 2Institut für Physik, Universität Oldenburg, Postfach 2503, D-26111 Oldenburg, Germany
  • 3Departamento de Matemática da Universidade de Aveiro and Centre for Research and Development in Mathematics and Applications (CIDMA), Campus de Santiago, 3810-183 Aveiro, Portugal

  • *Contact author: hyat@mail.bnu.edu.cn
  • †Contact author: b.kleihaus@uni-oldenburg.de
  • ‡Contact author: jutta.kunz@uni-oldenburg.de
  • §Contact author: mengyunlai@jxnu.edu.cn
  • ∥Contact author: eugen.radu@ua.pt
  • Contact author: dczou@jxnu.edu.cn

Phys. Rev. D 112, 124086 – Published 30 December, 2025

DOI: https://doi.org/10.1103/8l73-dxxd

Abstract

In scalar-tensor theories, compact objects may experience spontaneous scalarization. Recently, it was shown that matter-induced spontaneous scalarization of neutron stars is predominantly associated with a first-order phase transition. Here we consider matter-induced spontaneous scalarization of boson stars. Employing a repulsive quartic potential for the bosonic matter, we find only first-order phase transitions.

View figure in article

Physics Subject Headings (PhySH)

Article Text

References (49)

  1. C. M. Will, Living Rev. Relativity 9, 3 (2006).
  2. C. M. Will, Theory and Experiment in Gravitational Physics (Cambridge University Press, Cambridge, England, 2018).
  3. V. Faraoni and S. Capozziello, Beyond Einstein Gravity: A Survey of Gravitational Theories for Cosmology and Astrophysics, (Springer, Dordrecht, 2011).
  4. E. Berti, E. Barausse, V. Cardoso, L. Gualtieri, P. Pani, U. Sperhake, L. C. Stein, N. Wex, K. Yagi and T. Baker et al., Classical Quantum Gravity 32, 243001 (2015).
  5. E. N. Saridakis et al. (CANTATA Collaboration), Modified Gravity and Cosmology: An Update by the CANTATA Network (Springer, Cham, 2021).
  6. P. Jordan, Nature (London) 164, 637 (1949).
  7. M. Fierz, Helv. Phys. Acta 29, 128 (1956).
  8. P. Jordan, Z. Phys. 157, 112 (1959).
  9. C. Brans and R. H. Dicke, Phys. Rev. 124, 925 (1961).
  10. R. H. Dicke, Phys. Rev. 125, 2163 (1962).
  11. T. Damour and G. Esposito-Farese, Phys. Rev. Lett. 70, 2220 (1993).
  12. D. D. Doneva, S. S. Yazadjiev, N. Stergioulas, and K. D. Kokkotas, Phys. Rev. D 88, 084060 (2013).
  13. D. D. Doneva, F. M. Ramazanoğlu, H. O. Silva, T. P. Sotiriou, and S. S. Yazadjiev, Rev. Mod. Phys. 96, 015004 (2024).
  14. A. Dima, E. Barausse, N. Franchini, and T. P. Sotiriou, Phys. Rev. Lett. 125, 231101 (2020).
  15. S. Hod, Phys. Rev. D 102, 084060 (2020).
  16. C. A. R. Herdeiro, E. Radu, H. O. Silva, T. P. Sotiriou, and N. Yunes, Phys. Rev. Lett. 126, 011103 (2021).
  17. E. Berti, L. G. Collodel, B. Kleihaus, and J. Kunz, Phys. Rev. Lett. 126, 011104 (2021).
  18. P. Jetzer, Phys. Rep. 220, 163 (1992).
  19. T. D. Lee and Y. Pang, Phys. Rep. 221, 251 (1992).
  20. F. E. Schunck and E. W. Mielke, Classical Quantum Gravity 20, R301 (2003).
  21. S. L. Liebling and C. Palenzuela, Living Rev. Relativity 15, 6 (2012).
  22. D. F. Torres, Phys. Rev. D 56, 3478 (1997).
  23. A. W. Whinnett, Phys. Rev. D 61, 124014 (2000).
  24. M. Alcubierre, J. C. Degollado, D. Nunez, M. Ruiz, and M. Salgado, Phys. Rev. D 81, 124018 (2010).
  25. M. Ruiz, J. C. Degollado, M. Alcubierre, D. Nunez, and M. Salgado, Phys. Rev. D 86, 104044 (2012).
  26. B. Kleihaus, J. Kunz, and S. Yazadjiev, Phys. Lett. B 744, 406 (2015).
  27. T. Evstafyeva, R. Rosca-Mead, U. Sperhake, and B. Brugmann, Phys. Rev. D 108, 104064 (2023).
  28. C. A. R. Herdeiro and E. Radu, Phys. Rev. Lett. 112, 221101 (2014).
  29. K. İ. Ünlütürk, S. Tuna, O. K. Yamak, and F. M. Ramazanoğlu, Phys. Rev. Lett. 135, 061401 (2025).
  30. J. V. M. Muniz, N. Ortiz, and R. F. P. Mendes, Phys. Rev. D 112, 064037 (2025).
  31. P. C. C. Freire and N. Wex, Living Rev. Relativity 27, 5 (2024).
  32. M. Colpi, S. L. Shapiro, and I. Wasserman, Phys. Rev. Lett. 57, 2485 (1986).
  33. B. Kleihaus and J. Kunz, Phys. Rev. Lett. 86, 3704 (2001).
  34. B. Kleihaus, J. Kunz, and F. Navarro-Lerida, Phys. Lett. B 599, 294 (2004).
  35. S. S. Yazadjiev, D. D. Doneva, and D. Popchev, Phys. Rev. D 93, 084038 (2016).
  36. W. Schönauer and R. Weiß, J. Comput. Appl. Math. 27, 279 (1989); M. Schauder, R. Weiß, and W. Schönauer, The cadsol Program Package, Universität Karlsruhe, Interner Bericht Nr. 46/92 (1992).
  37. F. E. Schunck and E. W. Mielke, in Relativity and Scientific Computing: Computer Algebra, Numerics, Visualization, edited by F. W. Hehl, R. A. Puntigam, and H. Ruder (Springer, Berlin, Heidelberg, 1996).
  38. F. E. Schunck and E. W. Mielke, Phys. Lett. A 249, 389 (1998).
  39. F. D. Ryan, Phys. Rev. D 55, 6081 (1997).
  40. S. Yoshida and Y. Eriguchi, Phys. Rev. D 56, 762 (1997).
  41. F. E. Schunck and E. W. Mielke, Gen. Relativ. Gravit. 31, 787 (1999).
  42. B. Kleihaus, J. Kunz, and M. List, Phys. Rev. D 72, 064002 (2005).
  43. B. Kleihaus, J. Kunz, M. List, and I. Schaffer, Phys. Rev. D 77, 064025 (2008).
  44. B. Kleihaus, J. Kunz, and S. Schneider, Phys. Rev. D 85, 024045 (2012).
  45. C. Herdeiro and E. Radu, Classical Quantum Gravity 32, 144001 (2015).
  46. C. A. R. Herdeiro, E. Radu, and H. Rúnarsson, Phys. Rev. D 92, 084059 (2015).
  47. G. Choi, H. J. He, and E. D. Schiappacasse, J. Cosmol. Astropart. Phys. 10 (2019) 043.
  48. K. G. Arun et al. (LISA Collaboration), Living Rev. Relativity 25, 4 (2022).
  49. H. Olivares, Z. Younsi, C. M. Fromm, M. De Laurentis, O. Porth, Y. Mizuno, H. Falcke, M. Kramer, and L. Rezzolla, Mon. Not. R. Astron. Soc. 497, 521 (2020).

Outline

Information

Sign In to Your Journals Account

Filter

Filter

Article Lookup

Enter a citation