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:10.1140/epjc/s10052-023-11911-2

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2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 739
https://doi.org/10.1140/epjc/s10052-023-11911-2

Regular Article - Theoretical Physics

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

Kazuharu Bamba¹^a, Z. Yousaf², M. Z. Bhatti², R. Nazer² and Yuki Hashimoto¹

¹ Faculty of Symbiotic Systems Science, Fukushima University, 960-1296, Fukushima, Japan
² Department of Mathematics, University of the Punjab, Quaid-i-Azam Campus, 54590, Lahore, Pakistan

^a bamba@sss.fukushima-u.ac.jp

Received: 29 June 2023
Accepted: 5 August 2023
Published online: 21 August 2023

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.

© The Author(s) 2023

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