Overcharging problem and thermodynamics in extended phase spaces

Abstract

In this paper, the overcharging problem and thermodynamics in the extended phase spaces of the five-dimensional spherically symmetric topological black holes are investigated by absorptions of scalar particles and fermions. The cosmological constant is regarded as a variable related to pressure and its conjugate quantity is a thermodynamic volume. The first law of thermodynamics is recovered. The second law is violated in the extended phase space of the extremal and near-extremal black holes. The overcharging problem is tested by the existence of the event horizons. The event horizon is determined by the metric component $f(r)$. The minimal values of the metric component at the final stage show that the extremal and near-extremal black holes can not be overcharged.

arXiv comment16 pages

References in corpus (63)

• P-V criticality of charged AdS black holes
• Enthalpy and the Mechanics of AdS Black Holes
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
• Smarr Formula and an Extended First Law for Lovelock Gravity
• Charged Dilaton Black Holes with Unusual Asymptotics
• Critical behavior of Born-Infeld AdS black holes in the extended phase space thermodynamics
• Over-spinning a black hole with a test body
• Repulsive Interactions and Universal Properties of Charged Anti-de Sitter Black Hole Microstructures
• 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
• Quasilocal Thermodynamics of Dilaton Gravity coupled to Gauge Fields
• Critical Phenomena and Thermodynamic Geometry of RN-AdS Black Holes
• AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
• On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes
• Phase transition and thermodynamic geometry of Einstein-Maxwell-dilaton black holes
• Weak Cosmic Censorship: As Strong as Ever
• P-V Criticality in Quasitopological Gravity
• Testing the Weak Gravity -- Cosmic Censorship Connection
• Destroying extremal Kerr-Newman black holes with test particles
• Destroying a near-extremal Kerr-Newman black hole
• Charged Dilatonic Black Holes in Gravity's Rainbow
• P-V criticality of charged dilatonic black holes
• Test fields cannot destroy extremal black holes
• Overspinning a Kerr black hole: the effect of self-force
• Dyonic Kerr-Newman black holes, complex scalar field and Cosmic Censorship
• Overspinning a nearly extreme charged black hole via a quantum tunneling process
• Cosmic censorship in overcharging a Reissner-Nordström black hole via charged particle absorption
• Thermodynamics of charged topological dilaton black holes
• Cosmic Censorship, Black Holes and Integer-spin Test Fields
• Destroying Kerr-Sen black holes
• Vacuum energy in Einstein-Gauss-Bonnet AdS gravity
• Self-force as a cosmic censor
• Test of the weak cosmic censorship conjecture with a charged scalar field and dyonic Kerr-Newman black holes
• Cosmic Censorship and Weak Gravity Conjecture in the Einstein-Maxwell-dilaton theory
• Overcharging higher-dimensional black holes with point particles
• Thermodynamics with Pressure and Volume under Charged Particle Absorption
• Hamiltonian Treatment of the Gravitational Collapse of Thin Shells
• 5-dimensional Myers-Perry Black Holes Cannot be Over-spun by Gedanken Experiments
• Overspinning a nearly extreme black hole and the Weak Cosmic Censorship conjecture
• Overspinning BTZ black holes with test particles and fields
• Dilatonic black holes in gravity's rainbow with a nonlinear source: the effects of thermal fluctuations
• Can test fields destroy the event horizon in the Kerr-Taub-NUT spacetime?
• Hawking radiation of black holes in the $z=4$ Horava-Lifshitz gravity
• Novel phase transition in charged dilaton black holes
• Thermodynamics and weak cosmic censorship conjecture in the charged RN-AdS black hole surrounded by quintessence under the scalar field
• Quantum tunneling from three-dimensional black holes
• Charged Black Hole in Gravity's Rainbow: Violation of Weak Cosmic Censorship
• Thermodynamics and weak cosmic censorship conjecture of the torus-like black hole
• Cosmic Censorship: Formation of a Shielding Horizon Around a Fragile Horizon
• Weak cosmic censorship conjecture with pressure and volume in the Gauss-Bonnet AdS black hole
• Gedanken Experiments to Destroy a BTZ Black Hole
• Static charged dilaton black hole cannot be overcharged by gedanken experiments
• On the Penrose inequality in anti-deSitter space
• Weak cosmic censorship conjecture in Kerr black holes of modified gravity
• Quantum tunneling from rotating black holes with scalar hair in three dimensions
• Thermodynamics and Weak Cosmic Censorship Conjecture in Nonlinear Electrodynamics Black Holes via Charged Particle Absorption
• Test fields cannot destroy extremal de Sitter black holes
• Massless charged particles: Cosmic censorship, and Third law of Black Hole Mechanics
• Universality of tunnelling particles in Hawking radiation
• Minimal Length Effect on Thermodynamics and Weak Cosmic Censorship Conjecture in anti-de Sitter Black Holes via Charged Particle Absorption
• Gregory-Laflamme instability of BTZ black hole in new massive gravity
• Overcharging a multi black hole system and cosmic censorship

Cited by in corpus (13)

• Joule-Thomson expansion of Lower-dimensional black hole
• Remarks on the weak cosmic censorship conjecture of RN-AdS black holes with cloud of strings and quintessence under the scalar field
• Cosmic censorship, massless fermionic test fields, and absorption probabilities
• Thermodynamics with pressure and volume of 4D Gauss-Bonnet AdS Black Holes under the scalar field
• The variational method, backreactions, and the absorption probability in Wald type problems
• Thermodynamic extremality relations in the massive gravity
• Challenging event horizons with spin (3/2) fields
• Spin-2 fields and cosmic censorship
• Thermodynamics with pressure and volume of black holes based on two assumptions under scalar field scattering
• Can the induced increase in the angular velocity prevent the overspinning of BTZ black holes?
• Joule-Thomson expansion of the torus-like 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
• Self energy in Kerr-Sen space-time incorporated to overspinning and overcharging problems