Revisiting the Second Law and Weak Cosmic Censorship Conjecture in High-Dimensional Charged-AdS Black Hole: an Additional Assumption

Abstract

The verification of the second law of black hole mechanics and the WCCC in the context of enthalpy as mass of the black hole and its related thermodynamic properties has not been tested through a vast number of literature in the recent past. Such studies are of great physical importance as they provide us with a large number of information regarding the thermodynamics and the dynamics of AdS black hole systems. We invest the prior limited surveys of such analysis to investigate the WCCC for the $D$- dimensional asymptotically AdS-charged black holes characterized by its mass ($M$), electric charge ($Q$), and AdS radius ($l$) under the absorption of scalar particles of charge $q$. We examine the WCCC by analyzing the energy-momentum condition of the electrically charged particles as absorbed by the black holes. We prove that the conjecture is well verified irrespective of whether the initial black hole configurations are extremal or non-extremal by changing its charge, the AdS radius, and their variations. We show that the first law and the WCCC are valid for all spacetime dimensions ($D$) independent of the choice of the parameters characterizing the black holes. But to verify the second law in the extremal and non-extremal configurations one has to be very cautious as it gets strongly affected by the choices of the values of the black hole parameters and their variations... In the context of the extended phase space, taking the grand canonical potential into account allow us to obtain the missing information about the variation of the cosmological constant necessary to construct the extended phase space, namely the notion of the black hole pressure, and which is absent in the previous literature so far.

arXiv comment51 pages and 32 figures. Text improved and references updated

References in corpus (43)

• P-V criticality of charged AdS black holes
• Enthalpy and the Mechanics of AdS Black Holes
• Black hole chemistry: thermodynamics with Lambda
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Pressure and volume in the first law of black hole thermodynamics
• Holographic Heat Engines
• Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
• Thermodynamic Volumes and Isoperimetric Inequalities for de Sitter Black Holes
• On the Importance of NNLO QCD and Isospin-breaking Corrections in ${\epsilon }^{\prime }/\epsilon$
• Thermodynamics of Reissner-Nordstrom-anti-de Sitter black holes in the grand canonical ensemble
• Mechanical First Law of Black Hole Spacetimes with Cosmological Constant and Its Application to Schwarzschild-de Sitter Spacetime
• P-V Criticality in Quasitopological Gravity
• Critical phenomena of static charged AdS black holes in conformal gravity
• Where is the PdV term in the first law of black hole thermodynamics?
• Phase transition and thermodynamical geometry for Schwarzschild AdS black hole in $Ad{S}_5\times S^5$ spacetime
• Weak cosmic censorship conjecture for the novel $4D$ charged Einstein-Gauss-Bonnet black hole with test scalar field and particle
• Weak Cosmic Censorship Conjecture in Kerr-(Anti-)de Sitter Black Hole with Scalar Field
• Thermodynamics of phase transition in higher dimensional Reissner-Nordström-de Sitter black hole
• Thermodynamics with Pressure and Volume under Charged Particle Absorption
• Thermodynamics and weak cosmic censorship conjecture in extended phase spaces of anti-de Sitter black holes with particles' absorption
• A note on entropy of de Sitter black holes
• Thermodynamics and weak cosmic censorship conjecture in Reissner-Nordstr$\ddot{o}$m anti-de Sitter black holes with scalar field
• Thermodynamics and weak cosmic censorship conjecture of the BTZ black holes in the extended phase space
• On Thermodynamics of AdS Black Holes in M-Theory
• Thermodynamics and Phase Transitions of Nonlinear Electrodynamics Black Holes in an Extended Phase Space
• Weak Cosmic Censorship with Pressure and Volume in Charged Anti-de Sitter Black Hole under Charged Scalar Field
• Thermodynamics and Phase Transition of a Nonlinear Electrodynamics Black Hole in a Cavity
• Phase Transition of Charged-AdS Black Holes and Quasinormal Modes : a Time Domain Analysis
• Gedanken Experiments to Destroy a BTZ Black Hole
• On Einstein-non linear-Maxwell-Yukawa de-Sitter black hole thermodynamics
• Remarks on the weak cosmic censorship conjecture of RN-AdS black holes with cloud of strings and quintessence under the scalar field
• Destroying the event horizon of a nonsingular rotating quantum-corrected black hole
• No Violation of the Second Law in Extended Black Hole Thermodynamics
• Violations of the weak cosmic censorship conjecture in the higher dimensional $f(R)$ black holes with pressure
• Thermodynamics and weak cosmic censorship conjecture in the Kerr-AdS black hole
• Dynamics of Gravity as Thermodynamics on the Spherical Holographic Screen
• Thermodynamics and weak cosmic censorship conjecture in Born-Infeld-anti-de Sitter black holes
• Effects of a global monopole on thermodynamic phase transition of the charged AdS black hole
• Revisiting black hole thermodynamics in massive gravity: charged particle absorption and shell of dust falling
• Testing thermodynamic laws and weak cosmic censorship conjecture of conformal anomaly corrected AdS black hole
• Bulk entropy is crucial to validate the second law of the extended black hole thermodynamics
• Evidence for NO violation of the second law in extended black hole thermodynamics

Cited by in corpus (5)

• Weak Cosmic Censorship and Weak Gravity Conjectures in CFT Thermodynamics
• Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT Sides
• First law of black hole thermodynamics and the weak cosmic censorship conjecture for Kerr-Newman Taub-NUT black holes
• Test fields and naked singularities: is the second law the cosmic censor?
• Born-Infeld-AdS black hole phase structure: Landau theory and free energy landscape approaches