Black hole evaporation in Lovelock gravity with diverse dimensions

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 Lambda = -(d-1)(d-2)/2l(2). The black hole solutions can be divided into two cases: d > 2k + 1 and d = 2k + 1. In the case of d > 2k + 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-2k+1), which reduces Page's result on the Einstein gravity in k = 1. In the case of d = 2k + 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 -> 8, the system reduces to the pure Lovelock gravity that only possesses the highest k-th order term. For an initial mass M-0, the life time of the black hole is in the order of M-0(d-2k+1/d-2k-1). (C) 2019 The Authors. Published by Elsevier B.V.