On the static Lovelock black holes

Details On the static Lovelock black holes On the static Lovelock black holes

2012-01-20

arxiv.org/abs/1201.4994v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages

Scientific paper

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 Einstein solution in the given dimension. 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 solutions having the remarkable property that their thermodynamical parameters have the universal character in terms of the event horizon radius. Further the universality of thermodynamics uniquely characterizes the pure Lovelock black holes. We also demonstrate the universality of the asymptotic Einstein limit for the Lovelock black holes in general.

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