Romadani, Arista and Rosyid, M. Farchani
(2021)
*Kruskal-Szekeres coordinates of spherically symmetric solutions in theories of gravity.*
Presented at The 10th International Conference on Theoretical and Applied Physics (ICTAP2020), 20-22 Nov 2020, Mataram, Indonesia.

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## Abstract

Understanding the missing matter problem in cosmological phenomena and scales of astrophysical is usually studied by modifying general relativity theory. In this article, we formulated the Kruskal-Szekeres coordinate of vacuum modified gravity model in f(R) theory. The generalization of the field equation was obtained by generalizing Hilbert-Einstein’s action with gravitational Lagrangian in terms of f(R) function. By consider a special class of f(R) theory by taking R=R0, we found the solution of static spherically symmetric spacetime that was known as de Sitter-Schwarzschild spacetime. The transformation rules were constructed from Kruskal-Szekeres coordinates in f(R) theory of modified general relativity to the Kruskal-Szekeres coordinate in general relativity theory. For lambda=0, the Schwarzschild and Kruskal-Szekeres metric for static spherically symmetric on f(R) theory reduced to the standard Schwarzschild and Kruskal-Szekeres metric on general relativity. We also show the spacetime structure of de Sitter-Schwarzschild and Kruskal-Szekeres coordinate. This work could open a promising way to understand some features of a black hole in the f(R) theory of gravity.

Item Type: | Conference (Paper) |
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Subjects: | 02 PHYSICAL SCIENCES > 0201 Astronomical and Space Sciences > 020105 General Relativity and Gravitational Waves |

Divisions: | Faculty of Mathematics and Sciences > Department of Physics |

Depositing User: | Arista AR Romadani |

Date Deposited: | 17 Jul 2021 19:44 |

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