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Institute of Theoretical Physics · Faculty of Mathematics and Physics, Charles University

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Article

Some exact relativistic star solutions in f(R) gravity

Campbell, M.; Carloni, S.; Dunsby, P. K. S.; Naidu, N. F.

Class. Quantum Grav. 42(8), 085014 (2025)

doi ↗ arXiv:2403.00070 ↗

Abstract

We present a covariant description of non-vacuum static spherically symmetric spacetimes in f(R) gravity applying the (1+1+2) covariant formalism. The propagation equations are then used to derive a covariant and dimensionless form of the Tolman-Oppenheimer-Volkoff equations. We then give a solution strategy to these equations and obtain some new exact solutions for the particular case f(R)=R+alpha R2, which have the correct thermodynamic properties for standard matter.

Institute authors

BibTeX

@article{UTF1031,
  author        = {Campbell, M. and Carloni, S. and Dunsby, P. K. S. and Naidu, N. F.},
  title         = {{Some exact relativistic star solutions in f(R) gravity}},
  journal       = {Class. Quantum Grav.},
  volume        = {42},
  number        = {8},
  pages         = {085014},
  year          = {2025},
  doi           = {10.1088/1361-6382/adc8f2},
  eprint        = {2403.00070},
  archivePrefix = {arXiv},
}