European Physical Journal C: Particles and Fields (Aug 2023)

Collapsing dynamics of relativistic fluid in modified gravity admitting a conformal Killing vector

  • Kazuharu Bamba,
  • Z. Yousaf,
  • M. Z. Bhatti,
  • R. Nazer,
  • Yuki Hashimoto

DOI
https://doi.org/10.1140/epjc/s10052-023-11911-2
Journal volume & issue
Vol. 83, no. 8
pp. 1 – 20

Abstract

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Abstract The collapsing dynamics of relativistic fluid are explored in f(R) gravity in detailed systematic manner for the non-static spherically symmetric spacetime satisfying the equation of the conformal Killing vector. With quasi-homologous condition and diminishing complexity factor condition, exact solutions for dissipative as well as for non-dissipative system are found and the astrophysical applications of these exact solutions are discussed. Furthermore, it is demonstrated that $$f(R)=R,$$ f ( R ) = R , which is the extensive restriction of f(R) gravity, prior solutions of the collapsing fluid in general relativity, can be retrieved.