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

Abstract

With the Hamilton-Jacobi equation, we obtain the energy-momentum relation of a charged particle as it is absorbed by the Gauss-Bonnet AdS black hole. On the basis of the energy-momentum relation at the event horizon, we investigate the first law, second law, and weak cosmic censorship conjecture in both the normal phase space and extended phase space. Our results show that the first law, second law as well as the weak cosmic censorship conjecture are valid in the normal phase space for all the initial states are black holes. However, in the extended phase space, the second law is violated for the extremal and near-extremal black holes, and the weak cosmic censorship conjecture is violable for the near-extremal black hole, though the first law is still valid. In addition, in both the the normal and extended phase spaces, we find the absorbed particle changes the configuration of the near-extremal black hole, while don't change that of the extremal black hole.

arXiv commenttypos have been fixed

References in corpus (40)

• Enthalpy and the Mechanics of AdS Black Holes
• Black Strings and p-Branes are Unstable
• Gauss-Bonnet Black Holes in AdS Spaces
• 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
• The cosmological constant and the black hole equation of state
• Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
• Overcharging a Black Hole and Cosmic Censorship
• Black Strings, Low Viscosity Fluids, and Violation of Cosmic Censorship
• Over-spinning a black hole with a test body
• Test bodies and naked singularities: is the self-force the cosmic censor?
• Gedanken Experiments to Destroy a Black Hole II: Kerr-Newman Black Holes Cannot be Over-Charged or Over-Spun
• Testing the Weak Gravity -- Cosmic Censorship Connection
• Destroying extremal Kerr-Newman black holes with test particles
• Overspinning a Kerr black hole: the effect of self-force
• Van der Waals phase transition in the framework of holography
• Violating weak cosmic censorship in AdS${}_4$
• Evidence for an Electrifying Violation of Cosmic Censorship
• Holographic Van der Waals-like phase transition in the Gauss-Bonnet gravity
• Cosmic Censorship and Weak Gravity Conjecture in the Einstein-Maxwell-dilaton theory
• 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
• Higher-dimensional charged black holes cannot be over-charged by gedanken experiments
• Further evidence for the weak gravity -- cosmic censorship connection
• 5-dimensional Myers-Perry Black Holes Cannot be Over-spun by Gedanken Experiments
• Thermodynamics and weak cosmic censorship conjecture in the charged RN-AdS black hole surrounded by quintessence under the scalar field
• The Black Ring is Unstable
• 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
• Thermodynamics and weak cosmic censorship conjecture of the torus-like black hole
• Charged Black Hole in Gravity's Rainbow: Violation of Weak Cosmic Censorship
• Thermodynamics of Three-dimensional Black Holes via Charged Particle Absorption
• The weak cosmic censorship conjecture and thermodynamics in the quintessence AdS black hole under charge particle absorption
• Chaos in Charged Gauss-Bonnet AdS Black Holes in Extended Phase Space
• Thermodynamics and weak cosmic censorship conjecture in the Kerr-AdS black hole
• Thermodynamics and Weak Cosmic Censorship Conjecture in Nonlinear Electrodynamics Black Holes via Charged Particle Absorption
• Revisiting van der Waals like behavior of f(R) AdS black holes via the two point correlation function
• Thermodynamics and weak cosmic censorship conjecture with pressure in the rotating BTZ black holes
• Thermodynamics and weak cosmic censorship conjecture in (2+1)-dimensional regular black hole with nonlinear electrodynamics sources
• Violation of Weak Cosmic Censorship in Einstein-Maxwell-dilaton theory: singularities connected by traversable wormholes

Cited by in corpus (24)

• Weak Cosmic Censorship in Kerr-Sen Black Hole under Charged Scalar Field
• Thermodynamics and Weak Cosmic Censorship Conjecture of 4D Gauss-Bonnet-Maxwell Black Holes via Charged Particle Absorption
• Testing Cosmic Censorship Conjecture for Extremal and Near-extremal (2+1)-dimensional MTZ Black Holes
• Remarks on the weak cosmic censorship conjecture of RN-AdS black holes with cloud of strings and quintessence under the scalar field
• The weak cosmic censorship conjecture and thermodynamics in the quintessence AdS black hole under charge particle absorption
• Violations of the weak cosmic censorship conjecture in the higher dimensional $f(R)$ black holes with pressure
• Examining the weak cosmic censorship conjecture of RN-AdS black holes via the new version of the gedanken experiment
• Overcharging problem and thermodynamics in extended phase spaces
• Test the Weak Cosmic Censorship Conjecture in Torus-Like Black Hole under Charged Scalar Field
• Thermodynamics and weak cosmic censorship conjecture of an AdS black hole with a monopole in the extended phase space
• Proof of the weak cosmic censorship conjecture for several extremal black holes
• Cosmic Censorship for AdS${}_5$-Kerr
• New Gedanken experiment on Reissner-Nordström AdS Black Holes surrounded by quintessence
• Validity of Thermodynamic Laws and Weak Cosmic Censorship for AdS Black Holes and Black Holes in a Cavity
• Minimal Length Effect on Thermodynamics and Weak Cosmic Censorship Conjecture in anti-de Sitter Black Holes via Charged Particle Absorption
• Thermodynamics and weak cosmic censorship conjecture of charged AdS black hole in the Rastall gravity with pressure
• Revisiting black hole thermodynamics in massive gravity: charged particle absorption and shell of dust falling
• Testing the weak cosmic censorship conjecture for extremal magnetized Kerr-Newman black holes
• Testing thermodynamic laws and weak cosmic censorship conjecture of conformal anomaly corrected AdS black hole
• Thermodynamics with pressure and volume of 4D Gauss-Bonnet AdS Black Holes under the scalar field
• Exploring the cosmic censorship conjecture with a Gauss-Bonnet sector
• Strong cosmic censorship for a scalar field in an Einstein-Maxwell-Gauss-Bonnet-de Sitter black hole
• Thermodynamics and overcharging problem in the extended phase spaces of charged AdS black holes with cloud of strings and quintessence under charged particle absorption
• Violation of cosmic censorship in Einstein-Maxwell-Scalar models with fractional coupling