On the static Lovelock black holes

TL;DR

This paper explores a generalized class of static Lovelock black holes that connect to higher-dimensional Schwarzschild solutions, highlighting their universal thermodynamic properties and asymptotic Einstein limit.

Contribution

It introduces a new family of static Lovelock black holes with non-degenerate master polynomials, including pure Lovelock solutions with universal thermodynamic behavior.

Findings

Universal thermodynamic parameters in pure Lovelock black holes.

Asymptotic approach to Einstein solutions for large r.

Generalization of dimensionally continued black holes.

Abstract

We consider static spherically symmetric Lovelock black holes and generalize the dimensionally continued black holes in such a way that they asymptotically for large r go over to the d-dimensional Schwarzschild black hole in dS/AdS spacetime. This means that the master algebraic polynomial is not degenerate but instead its derivative is degenerate. This family of solutions contains an interesting class of pure Lovelock black holes which are the Nth order Lovelock {\Lambda}-vacuum solu- tions having the remarkable property that their thermodynamical parameters have the universal character in terms of the event horizon radius. This is in fact a characterizing property of pure Lovelock theories. We also demonstrate the universality of the asymptotic Einstein limit for the Lovelock black holes in general.