Third order Lovelock black holes in flat space

TL;DR

This paper derives and analyzes asymptotically flat third order Lovelock black hole solutions in higher-dimensional spacetimes, including thermodynamic properties, quantum corrections, and stability conditions for various horizon geometries.

Contribution

It provides new explicit solutions for third order Lovelock black holes in flat space, along with thermodynamic corrections and stability analysis based on horizon topology.

Findings

Derived explicit black hole solutions in third order Lovelock gravity.

Computed quantum-corrected temperature and entropy in seven dimensions.

Analyzed stability for different horizon geometries and coefficients.

Abstract

In this paper, we present the asymptotically flat black hole solutions for arbitrary values of coefficients in third order Lovelock gravity, and then derive gravitational mass, Hawking temperature and entropy of the black holes. In addition, based on a Hamilton-Jacobi approach beyond the semiclassical approximation, we compute the corrected temperature and entropy of the third order Lovelock black holes in seven dimensional spacetimes. By considering the coefficients {\alpha}2 = {\alpha} and {\alpha}3 = {\alpha}2/3, we obtain a special black hole solution. Later, we perform the local and global stability analysis of the black holes with different horizon structures k = \pm1 for coefficient {\alpha}2 < 0 and {\alpha}2 > 0, respectively.