Hawking evaporation of Einstein–Gauss–Bonnet AdS black holes in $$D\geqslant 4$$ dimensions

Abstract

Einstein–Gauss–Bonnet theory is a string-generated gravity theory when approaching the low energy limit. By introducing the higher order curvature terms, this theory is supposed to help to solve the black hole singularity problem. In this work, we investigate the evaporation of the static spherically symmetric neutral AdS black holes in Einstein–Gauss–Bonnet gravity in various spacetime dimensions with both positive and negative coupling constant $$\alpha $$ α . By summarizing the asymptotic behavior of the evaporation process, we find the lifetime of the black holes is dimensional dependent. For $$\alpha >0$$ α > 0 , in $$D\geqslant 6$$ D ⩾ 6 cases, the black holes will be completely evaporated in a finite time, which resembles the Schwarzschild-AdS case in Einstein gravity. While in $$D=4,5$$ D = 4 , 5 cases, the black hole lifetime is always infinite, which means the black hole becomes a remnant in the late time. Remarkably, the cases of $$\alpha >0, D=4,5$$ α > 0 , D = 4 , 5 will solve the terminal temperature divergent problem of the Schwarzschild-AdS case. For $$\alpha <0$$ α < 0 , in all dimensions, the black hole will always spend a finite time to a minimal mass corresponding to the smallest horizon radius $$r_{min}=\sqrt{2|\alpha |}$$ r min = 2 | α | which coincide with an additional singularity. This implies that there may exist constraint conditions to the choice of coupling constant.

Collapsing dust thin shells in Einstein–Gauss–Bonnet gravity

“…As a result of that proposal, the solution has regained widespread attention, and various properties of the 4D EGB solutions were considered within a short period time. For example, gravitational collapse was considered in [3], the generalization of the original solution [1] was studied in [4][5][6][7][8], black hole thermaldynamics was investigated in [9,10], gravitational lensing and shadow were considered in [5,6,[11][12][13], quasinormal modes and stability were showed in [14][15][16], the electromagnetic radiation properties of thin accretion disk around black hole were explored in [17], while the Hawking radiation and black hole evaporation were showed in [18,19] respectively. As research progresses, the validity of 4D EGB gravity is being questioned [20][21][22][23][24][25][26][27].…”

Anisotropic Strange Star in 5D Einstein-Gauss-Bonnet Gravity

“…However, some authors chose both cases of α > 0 and α < 0 (see Refs. [56,57] for further discussion). So, in our work, we consider α ≥ 0.…”

Minimally deformed charged stellar model by gravitational decoupling in 5D Einstein–Gauss–Bonnet gravity

“…[11][12][13][14][15]. A broad avenue followed by many astrophysical solution such as the gravitational collapse of an incoherent spherical dust cloud [16][17][18][19], geodesic motion of a test particle [20], the phase transition of RN-AdS black holes [21], Hawking evaporation of AdS black holes [22], radius of photon spheres [23], regular black hole solutions [24] and wormhole solutions satisfying the energy conditions was proposed in [25,26]. There is considerable effort [27][28][29][30] to study the mass-radius relation of compact stars in EGB theories of gravity.…”