Quantum Gravitational Corrections to a Star Metric and the Black Hole Limit

TL;DR

This paper investigates quantum gravitational effects on star metrics up to second order in curvature, revealing that such corrections vanish for black hole solutions, and explores implications for black hole formation.

Contribution

It provides a comprehensive analysis of quantum gravitational corrections to star metrics and highlights the difference in corrections between stars and black holes within an effective field theory framework.

Findings

Star metrics receive second-order quantum corrections.

Black hole solutions do not exhibit these corrections.

Implications for the collapse process and black hole formation.

Abstract

In this paper we consider the full set of quantum gravitational corrections to a star metric to second order in curvature. As we use an effective field theoretical approach, these corrections apply to any model of quantum gravity that is based on general coordinate invariance. We then discuss the black hole limit and identify an interesting phenomenon which could shed some light on the nature of astrophysical black holes: while star metrics receive corrections at second order in curvature, vacuum solutions such as black hole metrics do not. What happens to these corrections when a star collapses?