Overcharging higher curvature black holes

Abstract

We examine the problem of overcharging extremal and near-extremal black hole solutions of Einstein-Gauss-Bonnet gravity in any dimension, generalizing the result in general relativity. We show that as in the case of general relativity, it is not possible to create a naked singularity by overcharging an extremal black hole in Einstein-Gauss-Bonnet gravity using a charged test particle. Our result suggests that the validity of the cosmic censorship hypothesis transcends beyond general relativity to well motivated higher curvature gravity.

Static charged Gauss-Bonnet black holes cannot be overcharged by the new version of gedanken experiments

“…Different with the result in [27], here we did not utilize the optimal condition of the first-order identity. As a result, we found that the static charged Gauss-Bonnet black holes cannot be overcharged by above collision process under the second-order approximation of perturbation, although they can be destroyed by the old version of the gedanken experiments as shown in [36]. Our result at some level implies that the WCCC can also be restored in the EMGB gravitational theory.…”

“…As one of the most interest higher curvature gravitational theories, the Einstein-Maxwell-Gauss-Bonnet (EMGB) gravity is an important generalization of Einstein gravity, where the Gauss-Bonnet term can be regarded as a correction from the heterotic string theory [34,35]. In [36], the authors investigated the old version of the gedanken experiments in the charged static Gauss-Bonnet black holes and found that the near extremal case can also be overcharged. Therefore, in this paper, we would like to check whether the WCCC can be restored in the EMGB gravity if we consider the new version of the gedanken experiments.…”

Gravitational Analysis of Rotating Charged Black‐Hole‐Like Solution in Einstein–Gauss–Bonnet Gravity

“…The solution for spherically symmetric charged BH with this gravity theory in D ‐dimension space‐time can be given as [ 58 ] $$\begin{equation} ds^{2}=-G(r)dt^{2}+G^{-1}(r)dr^{2}+r^2d{\Omega }^2_{d-2} \end{equation}$$where $$\begin{equation} G(r)=1+{\left[1-\sqrt {1+\frac{16\beta M}{r^{d-1}}-\frac{8\beta q^2}{r^{2d-4}}}\right]}\frac{r^2}{4\beta } \end{equation}$$where M , q , and β are BH mass, BH charge, and the BH coupling constant $$\hat{\beta }$$ as $$\beta =(d-3)(d-4)\hat{\beta }/2$$, respectively. We study the space–time by $$d{\Omega }^2_{d-2}$$ of the unit $$(d-2)$$ area of sphere $$A_{d-2}$$.…”

Tunneling Analysis Under the Influences of Einstein-Gauss-Bonnet Black Holes Gravity Theory

“…The BH of spherically symmetric solution of this gravity theory in D-dimension spacetime is of the form [21]…”