Black hole and de Sitter solutions in a covariant renormalizable field theory of gravity

TL;DR

This paper demonstrates that key solutions like Schwarzschild black holes and de Sitter space are exact in a covariant, renormalizable gravity theory, analyzing their stability and entropy, and confirming minimal deviation from General Relativity.

Contribution

It introduces a covariant, renormalizable gravity formulation that admits known solutions and studies their stability and thermodynamic properties.

Findings

Schwarzschild and de Sitter solutions are exact in the theory

Solutions are stable under perturbations

Entropy follows the area law, indicating minimal deviation from GR

Abstract

It is shown that Schwarzschild black hole and de Sitter solutions exist as exact solutions of a recently proposed relativistic covariant formulation of (power-counting) renormalizable gravity with a fluid. The formulation without a fluid is also presented here. The stability of the solutions is studied and their corresponding entropies are computed, by using the covariant Wald method. The area law is shown to hold both for the Schwarzschild and for the de Sitter solutions found, confirming that, for the $\beta=1$ case, one is dealing with a minimal modification of GR.