Surface configuration in $R + {\mu}^4/R$ gravity

TL;DR

This paper explores how the parameter μ in the modified gravity theory R+μ^4/R affects the structure of space-like surfaces and their relation to black hole horizons in both weak and strong gravitational fields.

Contribution

It analyzes the role of μ in different spacetime configurations and establishes conditions under which these surfaces correspond to black hole horizons within this gravity model.

Findings

μ influences the nature of space-like surfaces in the theory

Certain configurations of null geodesics relate to black hole horizons

The study bridges modified gravity parameters with horizon properties

Abstract

We investigate the conditions on the additional constant $\mu$ in the so-called $R+\mu^4/R$ theory of gravity, due to existence of different kinds of space-like surfaces in both weak field and strong field limits, and their possible correspondence to black hole event horizons. Adopting a Schwarzschild limit, we probe the behaviour of $\mu$ in different contexts of radial and radial-rotational congruence of null geodesics. We show that these cases serve as correspondents to black hole horizons in some peculiar cases of study.