Black Holes in Pure Lovelock Gravities

TL;DR

This paper explores black hole solutions and their thermodynamics within pure Lovelock gravity, a special higher-order gravity theory that extends general relativity while avoiding ghosts and higher derivatives.

Contribution

It provides new insights into black hole solutions and thermodynamic behavior specific to pure Lovelock gravity, highlighting differences from general relativity.

Findings

Unique black hole solutions in pure Lovelock gravity

Distinct thermodynamic properties compared to GR

Identification of features different from standard Einstein black holes

Abstract

The Lovelock gravity is a fascinating extension of general relativity, whose action consists of the dimensionally extended Euler densities. Compared to other higher order derivative gravity theories, the Lovelock gravity is attractive since it has a lot of remarkable features such as that there are no more than second order derivatives with respect to metric in its equations of motion, and that the theory is free of ghost. Recently in the study of black string and black brane in the Lovelock gravity, a special class of Lovelock gravity is considered, which is named pure Lovelock gravity, where only one Euler density term exists. In this paper we study black hole solutions in the special class of Lovelock gravity and associated thermodynamic properties. Some interesting features are found, which are quite different from the corresponding ones in general relativity.