Charged de Sitter-like black holes: quintessence-dependent enthalpy and new extreme solutions

Abstract

We consider Reissner-Nordström black holes surrounded by quintessence where both a non-extremal event horizon and a cosmological horizon exist besides an inner horizon ($-1\le \omega <-1/3$). We determine new extreme black hole solutions that generalize the Nariai horizon to asymptotically de Sitter-like solutions for any order relation between the squares of the charge $q^2$ and the mass parameter $M^2$ provided $q^2$ remains smaller than some limit, which is larger than $M^2$. In the limit case $q^2=9{\omega }^2{M}^2/(9{\omega }^2-1)$, we derive the general expression of the extreme cosmo-black-hole, where the three horizons merge, and discuss some of its properties. We also show that the endpoint of the evaporation process is independent of any order relation between $q^2$ and $M^2$. The Teitelboim's energy and Padmanabhan's energy are related by a nonlinear expression and are shown to correspond to different ensembles. We also determine the enthalpy $H$ of the event horizon, as well as the effective thermodynamic volume which is the conjugate variable of the negative quintessential pressure, and show that in general the mass parameter and the Teitelboim's energy are different from the enthalpy and internal energy; only in the cosmological case, that is, for Reissner-Nordström-de Sitter black hole we have $H=M$. Generalized Smarr formulas are also derived. It is concluded that the internal energy has a universal expression for all static charged black holes, with possibly a variable mass parameter, but it is not a suitable thermodynamic potential for static-black-hole thermodynamics if $M$ is constant. It is also shown that the Reverse Isoperimetric Inequality holds. We generalize the results to the case of the Reissner-Nordström-de Sitter black hole surrounded by quintessence with two physical constants yielding two thermodynamic volumes.

arXiv commentMinor corrections. Section VI extended

References in corpus (40)

• Building an AdS/CFT superconductor
• P-V criticality of charged AdS black holes
• Enthalpy and the Mechanics of AdS Black Holes
• The dS/CFT Correspondence
• Breaking an Abelian gauge symmetry near a black hole horizon
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
• 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
• Topological Black Holes in Anti-de Sitter Space
• Mass, Entropy and Holography in Asymptotically de Sitter Spaces
• Inflation and the dS/CFT Correspondence
• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• Thermodynamics of de Sitter Black Holes: Thermal Cosmological Constant
• Weyl Cohomology and the Effective Action for Conformal Anomalies
• Loop Quantum Dynamics of the Schwarzschild Interior
• AdS/CFT Duals of Topological Black Holes and the Entropy of Zero-Energy States
• Critical Phenomena and Thermodynamic Geometry of RN-AdS Black Holes
• de Sitter black hole with a conformally coupled scalar field in four dimensions
• On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes
• Effects of dark energy on P-V criticality of charged AdS black holes
• Where is the PdV term in the first law of black hole thermodynamics?
• On the Thermodynamic Geometry and Critical Phenomena of AdS Black Holes
• The Holography of Gravity encoded in a relation between Entropy, Horizon area and Action for gravity
• de Sitter Black Holes with Either of the Two Horizons as a Boundary
• Concept of temperature in multi-horizon spacetimes: Analysis of Schwarzschild-De Sitter metric
• Thermodynamical, geometrical and Poincaré methods for charged black holes in presence of quintessence
• Black hole thermodynamics: No inconsistency via the inclusion of the missing P-V terms
• Worldvolume Theories, Holography, Duality and Time
• Paramagnetism-Ferromagnetism Phase Transition in a Dyonic Black Hole
• Nariai black holes with quintessence
• On five-dimensional non-extremal charged black holes and FRW cosmology
• The first laws of thermodynamics of the (2+1)-dimensional BTZ black holes and Kerr-de Sitter spacetimes
• Gravitational Thermodynamics of Schwarzschild-de Sitter Space
• What is the gravity dual of the confinement/deconfinement transition in holographic QCD?
• Naked Singularities in the Charged Vaidya-deSitter Spacetime
• Deconfinement Transition of AdS/QCD at $\mathcal{O}({\alpha }^{\prime 3})$
• Classical and thermodynamical aspects of black holes with conformally coupled scalar field hair
• Nariai--Bertotti--Robinson spacetimes as a building material for one-way wormholes with horizons, but without singularity

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