Testing the weak cosmic censorship conjecture for a Reissner–Nordström–de Sitter black hole surrounded by perfect fluid dark matter

Abstract

In this paper, we test the weak cosmic censorship conjecture (WCCC) for the Reissner–Nordström–de Sitter (RN-dS) black hole surrounded by perfect fluid dark matter. We consider a spherically symmetric perturbation on deriving linear and non-linear order perturbation inequalities by applying a new version of gedanken experiments well accepted from the work of Sorce and Wald. Contrary to the well-known result that the Reissner–Nordström (RN) black hole could be overcharged under linear order particle accretion it is hereby shown that the same black hole in perfect fluid dark matter with cosmological parameter cannot be overcharged. Considering a realistic scenario in which black holes cannot be considered to be in vacuum we investigate the contribution of dark matter and cosmological constant in the overcharging process of an electrically charged black hole. We demonstrate that the black hole can be overcharged only when two fields induced by dark matter and cosmological parameter are completely balanced. Further we present a remarkable result that a black hole cannot be overcharged beyond a certain threshold limit for which the effect arising from the cosmological constant dominates over the effect by the perfect fluid dark matter. Thus even for a linear accretion process, the black hole cannot always be overcharged and hence obeys the WCCC in general. This result would continue to be fulfilled for non-linear order accretion.

Constraints on the magnetized Ernst black hole spacetime through quasiperiodic oscillations

“…It is well-known that even small magnetic field B can strongly affect on charged particle's dynamics as a consequence of the large Lorentz force [see, e.g. [20][21][22][23][24][25][26][27][28][29][30][31]. Thus, the magnetic field could be increasingly important to be considered as a background field to test the background geometry in the black hole vicinity.…”

Dynamics and epicyclic motions of particles around the Schwarzschild–de Sitter black hole in perfect fluid dark matter

“…In doing so, Li and Yang [39] derived the black hole solution which represents only the background matter as dark matter. Following Li and Yang there are several investigations that can contain dark matter fields differently in the black hole background geometry [40][41][42][43][44][45][46][47][48][49][50][51].…”

Dynamics of particles and epicyclic motions around Schwarzschild-de-Sitter black hole in perfect fluid dark matter

“…In doing so, Li and Yang [34] derived the black hole solution which represents only the background matter as a dark matter. Following Li and Yang there are several investigations that can contain dark matter fields in a different way in the black hole background geometry [35][36][37][38][39][40][41][42][43][44][45][46][47].…”