Studi Metrik Schwarzschild Termodifikasi Dalam Teori Gravitasi f(R)

Abstract

In this paper, the modified solutions of Einstein's theory of f(R) gravity using the  gravity approach have been re-examined. The f(R) modified theory of gravity is obtained by generalizing the gravitational Lagrangian in the Einstein-Hilbert action. By considering the special case of R=R₀ ​, a spherically symmetric static vacuum solution for a black hole of mass m is obtained, which is referred to as the modified Schwarzschild solution. The results indicate that this modified Schwarzschild metric solution has a form dependent on the curvature constant  R₀​ and the mass parameter m. This solution describes the geometric structure of a non-rotating and uncharged massive object within the framework of  f(R) gravity theory