Asymptotically flat black hole solution in modified gravity

TL;DR

This paper demonstrates the existence of asymptotically flat vacuum solutions in $f(R)$ gravity, providing new insights into black hole physics and accretion processes beyond general relativity.

Contribution

It presents the first explicit asymptotically flat vacuum solution in $f(R)$ gravity, advancing understanding of black holes in modified gravity theories.

Findings

Asymptotically flat vacuum solution in $f(R)$ gravity is possible.

The solution helps explain spherical accretion flow around black holes.

Supports $f(R)$ gravity as a viable alternative to GR for black hole physics.

Abstract

From time to time, different observations suggest that Einstein's theory of general relativity (GR) may not be the ultimate theory of gravity. Various researchers have suggested that the $f(R)$ theory of gravity is the best alternative to replace GR. Using $f(R)$ gravity, one can elucidate the various unexplained physics of compact objects, such as black holes, neutron stars, and white dwarfs. Researchers have already put effort into finding the vacuum solution around a black hole in $f(R)$ gravity. However, for a long time, they could not find an asymptotically flat vacuum solution. In this article, we show that the asymptotically flat vacuum solution of $f(R)$ gravity is possible and thereby use it to explain the spherical accretion flow around the black hole.