Black hole solutions to Einstein-Bel-Robinson gravity

TL;DR

This paper explores black hole solutions within Einstein-Bel-Robinson gravity, revealing new solutions, analyzing their properties, and discussing their thermodynamics, thus advancing understanding of higher-curvature gravity theories.

Contribution

The paper introduces new exact and approximate black hole solutions in Einstein-Bel-Robinson gravity and analyzes their physical and thermodynamic properties.

Findings

Existence of a ghost-free branch returning to Einstein gravity as 

Discovery of new constant curvature black hole solutions

Analysis of black hole thermodynamics in the theory

Abstract

In this paper, we study the physical properties of black holes in the framework of the recently proposed Einstien-Bel-Robinson gravity. We show that interestingly the theory propagates a transverse and massive graviton on a maximally symmetric background with positive energy. There is also a single ghost-free branch that returns to the Einstein case when \beta\to 0. We find new black hole solutions to the equations, both approximate and exact, the latter being a constant curvature black hole solution, and discuss inconsistencies with metrics that were previously claimed to be approximate solutions to the equations. We obtain the conserved charges of the theory and briefly study the thermodynamics of the black hole solutions.