Topological Black Holes in Weyl Conformal Gravity

TL;DR

This paper introduces exact topological black hole solutions in Weyl conformal gravity, exploring their properties and thermodynamics, and suggesting a view of gravity's thermodynamics as an induced phenomenon.

Contribution

It provides new exact solutions for topological black holes in Weyl conformal gravity with various scalar curvatures at infinity.

Findings

Solutions include negative, zero, and positive scalar curvature cases.

Generalizes known topological black holes in anti-de Sitter space.

Discusses thermodynamic properties within an induced gravity framework.

Abstract

We present a class of exact solutions of Weyl conformal gravity, which have an interpretation as topological black holes. Solutions with negative, zero or positive scalar curvature at infinity are found, the former generalizing the well-known topological black holes in anti-de Sitter gravity. The rather delicate question of thermodynamic properties of such objects in Weyl conformal gravity is discussed; suggesting that the thermodynamics of the found solutions should be treated within the framework of gravity as an induced phenomenon, in the spirit of Sakharov's work.