Black hole evaporation in Lovelock gravity with diverse dimensions

Hao Xu; Man-Hong Yung

doi:10.1016/j.physletb.2019.05.031

paper

Black hole evaporation in Lovelock gravity with diverse dimensions

arXiv:1904.06503 · doi:10.1016/j.physletb.2019.05.031

Abstract

We investigate the black hole evaporation process in Lovelock gravity with diverse dimensions. By selecting the appropriate coefficients, the space-time solutions can possess a unique AdS vacuum with a fixed cosmological constant $Λ = - \frac{( d - 1 ) ( d - 2 )}{2 ℓ ^{2}}$ . The black hole solutions can be divided into two cases: $d > 2 k + 1$ and $d = 2 k + 1$ . In the case of $d > 2 k + 1$ , the black hole is in an analogy with the Schwarzschild AdS black hole, and the life time is bounded by a time of the order of $ℓ^{d - 2 k + 1}$ , which reduces Page's result on the Einstein gravity in $k = 1$ . In the case of $d = 2 k + 1$ , the black hole resembles the three dimensional black hole. The black hole vacuum corresponds to $T = 0$ , so the black hole will take infinite time to evaporate away for any initial states, which obeys the third law of thermodynamics. In the asymptotically flat limit $ℓ \to \infty$ , the system reduces to the pure Lovelock gravity that only possesses the highest $k$ -th order term. For a initial mass $M_{0}$ , the life time of the black hole is in the order of $M_{0}^{\frac{d - 2 k + 1}{d - 2 k - 1}}$ .

arXiv comment6 pages + references, 3 figures;minor corrections, references added, published version

Black hole evaporation in Lovelock gravity with diverse dimensions

Abstract

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