Fate of strong cosmic censorship conjecture in presence of higher spacetime dimensions

Abstract

A well posed theory of nature is expected to determine the future of an observer uniquely from a given set of appropriate initial data. In the context of general relativity, this is ensured by Penrose's strong cosmic censorship conjecture. But in recent years, several examples are found which suggest breakdown of the deterministic nature of the theory in Reissner-Nordström-de Sitter black holes under the influence of different fundamental fields. Nevertheless, the situation has been reassuring for the case of astrophysically meaningful Kerr-de Sitter black hole solutions which seems to respect the conjecture. However, the previous analyses were done considering only the effect of scalar fields. In this paper, we extend the study by considering Dirac fields in Kerr-de Sitter background and show that there exist a parameter space which does not respect the conjecture.

Strong cosmic censorship conjecture in higher curvature gravity

“…Further, for photon sphere modes the violation becomes stronger as the spacetime dimension is increased from d = 5 to d = 6 (see, the last row of Fig. 1), which is a reminiscent of the result presented in [15].…”

“…Given this black hole spacetime, which is an exact solution of the higher curvature gravitational field equations, we are interested in studying if there is any violation of strong cosmic censorship conjecture in this spacetime. It should be emphasized that when α = 0, i.e., in the absence of higher curvature terms, the spacetime reduces to a Reissner-Nordström de Sitter configuration in d−dimensions and admits violation of strong cosmic censorship conjecture [20]. It is therefore interesting to see whether the addition of higher curvature terms may cure the violation of strong cosmic censorship conjecture when α = 0.…”

“…In the absence of a general proof for strong cosmic censorship conjecture, such an analysis plays a very crucial role in order to test the conjecture, i.e., by looking for possible counterexamples. This approach have been used recently by several authors in order to test the validity of strong cosmic censorship conjecture conjecture for general relativity on various asymptotically de Sitter black hole spacetimes in four and higher dimensions [12][13][14][15][16][17][18][19][20][21][22][23]. The central result arising out of these analyses is the realization that the strong cosmic censorship conjecture is violated in the near extremal regime for non-rotating black holes, while for rotating black holes, the violation can be avoided.…”

Cosmic censorship and the evolution of d -dimensional charged evaporating black holes

“…For small black holes, the temperature is large enough to effectively create charged particles as well, in which case it would not make sense to separate the mass loss due to massless chargeless particle and massive charged particles in the way it is done in Eq. (24). Only in the large mass regime one can model Hawking evaporation via HW model.…”

“…Nevertheless, it is not always the case that higher dimension leads to easier violation of cosmic censorship. Recently, strong cosmic censorship of charged black holes in asymptotically de Sitter spacetime has attracted a lot of interest [22][23][24]. The situation in higher dimensions is not so straightforward [25]: it is indeed easier to violate strong cosmic censorship in higher dimensions, provided that the black holes are "large" (in the sense of large Λ/Λ max , where Λ is the cosmological constant, and Λ max is the value for which if Λ > Λ max , then the spacetime admits at most one horizon).…”