Strong cosmic censorship conjecture for a charged BTZ black hole

Abstract

The strong cosmic censorship conjecture, whose validation asserts the deterministic nature of general relativity, has been studied for charged BTZ black holes in three dimensional general relativity, as well as for Nth order pure Lovelock gravity in d=2N+1 spacetime dimensions. Through both analytical and numerical routes, we have computed the ratio of the imaginary part of the quasi-normal mode frequencies with the surface gravity at the Cauchy horizon. The lowest of which corresponds to the key parameter associated with violation of strong cosmic censorship conjecture. Our results demonstrate that this parameter is always less than the critical value (1/2), thereby respecting the strong cosmic censorship conjecture. This is in complete contrast to the four or, higher dimensional black holes, as well as for rotating BTZ black hole, where the violation of strong cosmic censorship conjecture exists. Implications and possible connection with the stability of the photon orbits have been discussed.

A survey of strong cosmic censorship conjecture beyond Einstein’s gravity

“…Despite all the brilliant achievements of GR, it is not free of shortcomings (particularly at infrared and ultraviolet scales), and it is merely a solid effective theory for modeling gravitational physics, which should be completed by some extensions [38]. This has led to people do not limit their studies concerning the validity of Penrose SCCC just for the GR framework rather in recent years we are seeing a variety of works in the context of some extended models of gravity [39]- [48]. Given extracting some counterexamples in favor of violation of SCCC within GR, this can be seen as a natural attempt to save the SCCC via going beyond the GR framework.…”