Inverse Area Corrections to Black Hole Entropy Area Formula in F(R) Gravity and Gravitational Wave Observations

TL;DR

This paper investigates inverse area corrections to black hole entropy in F(R) gravity and compares them with quantum gravity results, using gravitational wave data to constrain theoretical parameters.

Contribution

It introduces inverse area corrections to black hole entropy in F(R) gravity and links these corrections with gravitational wave observations to constrain the theory.

Findings

Inverse area corrections are consistent with gravitational wave data.

Constraints on F(R) gravity parameters are derived from black hole entropy corrections.

Comparison with quantum gravity approaches highlights differences in black hole entropy corrections.

Abstract

We consider corrections to the Bekenstein Hawking Area Formula for black hole entropy, which have inverse powers of the horizon area for very large horizon areas, for classical spherically symmetric black hole solutions of F(R) modified gravity theory, using the Wald formula for the entropy function with modifications suggested by Jacobson, Kang and Myers. Requiring that the coefficient of such corrections be absolutely consistent with gravitational wave observational results validating the Hawking Area Theorem for binary black hole coalescences, implies constraints on parameters of F(R) gravity. For the sake of comparison, we present a computation of inverse area corrections for quantum black holes in quantum general relativity, using the It from Bit approach of Wheeler modified by some tenets of Loop Quantum Gravity.