Thermodynamics and weak cosmic censorship conjecture in Reissner-Nordström anti-de Sitter black holes with scalar field

Abstract

The thermodynamics and weak cosmic censorship conjecture in Reissner-Nordström anti-de Sitter black holes are investigated by the scattering of the scalar field. The first law of thermodynamics in the non-extremal Reissner-Nordström anti-de Sitter black hole is recovered by the scattering. The increase of the horizon radius indicates that the singularity is not naked in this black hole. For the near-extremal and extremal black holes, the validity is tested by the minimum values of the function f at their final states. It is found that both of the near-extremal and extremal black holes can not be overcharged.When ω = qφ, the final state of the extremal black hole is still an extremal black hole. When ω = qφ, it becomes a near-extremal black hole with new mass and charge.

Minimal Length Effect on Thermodynamics and Weak Cosmic Censorship Conjecture in Anti-de Sitter Black Holes via Charged Particle Absorption

“…Different from [60], we have chosen another quantum gravity model, GUP, to study the second law of thermodynamics and the weak cosmic censorship conjecture in the normal and extended phase space. When β → 0, f ( β 0 4πT [P r (r + )] 2 mp ) → 1 and the GUP deformed case reduces to the usual case, and our result is consistent with that in [27,29,34].…”

“…However, considering the back reaction and self-force effects, the study suggests that the weak cosmic censorship conjecture may be still satisfied [18][19][20][21][22][23]. Since there is a lack of universal evidence for the weak cosmic censorship conjecture, its validity has been tested in various black holes [24][25][26][27][28][29][30][31]. Recently, the validity of the weak cosmic censorship conjecture through absorption of charged particles in extended phase space has been tested in extended phase space, where the cosmological constant is treated as thermodynamic variables.…”

Weak cosmic censorship conjecture for a Kerr-Taub-NUT black hole with a test scalar field and particle

“…Since the motion of a massive particle outside the event horizon should be future directed and time-like, we have chosen the future directed solution dt/dτ > 0, which is equivalent to the requirement δE > − g 03 g 33 δJ.…”

“…Further exploration of Gwak indicates that both extremal and near-extremal Kerr-(anti) de Sitter black holes cannot be over-spun by classical fields [30]. Following this line, a series of works have shown that BTZ black holes [31,32], four-dimensional and higher-dimensional charged AdS black holes [33,34] cannot be over-spun or over-charged by classical test fields. These results suggest that the weak cosmic censorship conjecture is preserved in classical wave scattering process.…”

Weak cosmic censorship conjecture with pressure and volume in the Gauss-Bonnet AdS black hole

“…Our motivation is to explore how f (r min ) moves as a charged particle is absorbed by the Gauss-Bonnet AdS black hole. For the initial state is a black hole, f (r min ) satisfies the following conditions [47,48,49,50,51,52] f (M, Q, α, l, r)| r=r min ≡ f min = δ ≤ 0,…”