Thermodynamics of higher dimensional topological charged AdS black branes in dilaton gravity

Abstract

In this paper, we study topological AdS black branes of $(n+1)$-dimensional Einstein-Maxwell-dilaton theory and investigate their properties. We use the area law, surface gravity and Gauss law interpretations to find entropy, temperature and electrical charge, respectively. We also employ the modified Brown and York subtraction method to calculate the quasilocal mass of the solutions. We obtain a Smarr-type formula for the mass as a function of the entropy and the charge, compute the temperature and the electric potential through the Smarr-type formula and show that these thermodynamic quantities coincide with their values which are calculated through using the geometry. Finally, we perform a stability analysis in the canonical ensemble and investigate the effects of the dilaton field and the size of black brane on the thermal stability of the solutions. We find that large black branes are stable but for small black brane, depending on the value of dilaton field and type of horizon, we encounter with some unstable phases.

arXiv comment21 pages, 21 figures, references updated, minor editing, accepted in EPJC (DOI: 10.1140/epjc/s10052-010-1483-3)

References in corpus (76)

• Gauge Theory Correlators from Non-Critical String Theory
• A Stress Tensor for Anti-de Sitter Gravity
• The Holographic Weyl anomaly
• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• The dS/CFT Correspondence
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• Surface Terms as Counterterms in the AdS/CFT Correspondence
• Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
• Phases of R-charged Black Holes, Spinning Branes and Strongly Coupled Gauge Theories
• Cylindrical Black Hole in General Relativity
• Topological Black Holes in Anti-de Sitter Space
• Temperature, Energy, and Heat Capacity of Asymptotically Anti-De Sitter Black Holes
• Mass, Entropy and Holography in Asymptotically de Sitter Spaces
• Black holes with unusual topology
• Conformal Vacua and Entropy in de Sitter Space
• Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons
• The Gravitational Action in Asymptotically AdS and Flat Spacetimes
• The evolution of unstable black holes in anti-de Sitter space
• Black plane solutions in four dimensional spacetimes
• Inflation and the dS/CFT Correspondence
• Misner String Entropy
• Charged Dilaton Black Holes with Unusual Asymptotics
• Topological black holes in the dimensionally continued gravity
• Nut Charge, Anti-de Sitter Space and Entropy
• Anti-de Sitter Black Hole Thermodynamics in Higher Derivative Gravity and New Confining-Deconfining Phases in dual CFT
• Topological dilaton black holes
• Friedmann-Robertson-Walker brane cosmological equations from the five-dimensional bulk (A)dS black hole
• Topological Censorship
• Cardy-Verlinde Formula and Thermodynamics of Black Holes in de Sitter Spaces
• Black Holes with a Massive Dilaton
• Deconstructing de Sitter
• Global properties of static spherically symmetric charged dilaton spacetimes with a Liouville potential
• Linear dilaton black holes
• Black Holes in Higher Derivative Gravity Theories
• Cardy-Verlinde Formula and Asymptotically de Sitter Spaces
• Entropy of Rotating Misner String Spacetimes
• Some Aspects of the de Sitter/CFT Correspondence
• Conformal anomaly from dS/CFT correspondence
• Action, Mass and Entropy of Schwarzschild-de Sitter black holes and the de Sitter/CFT Correspondence
• The Action of Instantons with Nut Charge
• The fate of four dimensions
• Braneworld Cosmology in (Anti)--de Sitter Einstein--Gauss--Bonnet--Maxwell Gravity
• Conserved Quantities in Kerr-anti-de Sitter Spacetimes in Various Dimensions
• Thermodynamics of rotating black branes in $(n+1)$-dimensional Einstein-Born-Infeld-dilaton gravity
• Thermodynamics of charged topological dilaton black holes
• Check of the Mass Bound Conjecture in the de Sitter Space
• Holographic Stress Tensors for Kerr-AdS Black Holes
• Quantum cosmology, inflationary brane-world creation and dS/CFT correspondence
• Topological Born-Infeld-dilaton black holes
• Thermodynamic instability of charged dilaton black holes in AdS spaces
• Charged Dilaton Black Holes with a Cosmological Constant
• Thermodynamics of black holes in $(n+1)$-dimensional Einstein-Born-Infeld dilaton gravity
• Statistical Entropy and AdS/CFT Correspondence in BTZ Black Holes
• Higher Dimensional Dilaton Black Holes with Cosmological Constant
• Gravitational energy, dS/CFT correspondence and cosmic no-hair
• Rotating Black Branes in Brans-Dicke-Born-Infeld Theory
• (Anti-) de Sitter Black Holes in higher derivative gravity and dual Conformal Field Theories
• Thermodynamics of rotating solutions in (n+1)-dimensional Einstein-Maxwell-dilaton gravity
• Thermodynamics of charged rotating black branes in Brans-Dicke theory with quadratic scalar field potential
• Quasilocal Thermodynamics of Kerr and Kerr-anti-de Sitter Spacetimes and the AdS/CFT Correspondence
• Quasilocal Thermodynamics of Kerr de Sitter Spacetimes and the dS/CFT Correspondence
• New hairy black hole solutions with a dilaton potential
• De Sitter space versus Nariai Black Hole: stability in d5 higher derivative gravity
• Rotating Topological Black Branes in Various Dimensions and AdS/CFT Correspondence
• Magnetic Branes in $(n+1)$-dimensional Einstein-Maxwell-dilaton gravity
• Slicing and Brane Dependence of the (A)dS/CFT Correspondence
• Phase transitions for the topological de Sitter spaces and Schwarzschild-de Sitter black hole
• Higher dimensional slowly rotating dilaton black holes in AdS spacetime
• Charged rotating dilaton black strings in AdS spaces
• Kerr de Sitter Spacetimes in Various Dimension and dS/CFT Correspondence
• On the Phase Transition of Conformal Field Theories with Holographic Duals
• Topological Black Holes of Einstein-Yang-Mills dilaton Gravity
• How to make the gravitational action on non-compact space finite
• Universal features of the holographic duality: conformal anomaly and brane gravity trapping from 5d AdS Black Hole
• Wilson loop and dS/CFT correspondence
• Magnetic dilaton strings in anti-de Sitter spaces

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• Thermodynamics, phase transitions and Ruppeiner geometry for Einstein-dilaton Lifshitz black holes in the presence of Maxwell and Born-Infeld electrodynamics
• Mimetic Euler-Heisenberg theory, charged solutions and multi-horizon black holes
• Holographic Thermalization in Charged Dilaton Anti-de Sitter Spacetime
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• New rotating AdS/dS black holes in $\mathrm{f}(\mathrm{R})$ gravity
• Critical behavior of charged dilaton black holes in AdS space
• Holographic Conductivity for Logarithmic Charged Dilaton-Lifshitz Solutions
• Topological dyonic dilaton black holes in AdS spaces
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• Specific neutral and charged black holes in $f(R)$ gravitational theory
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• Thermodynamics and gauge/gravity duality for Lifshitz black holes in the presence of exponential electrodynamics
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• Stringy Stability of Charged Dilaton Black Holes with Flat Event Horizon
• Asymptotically (A)dS dilaton black holes with nonlinear electrodynamics
• Analytic solutions of neutral hyperbolic black holes with scalar hair
• Maxwell-$f(Q)$ theory
• An alternative perspective to observe the critical phenomena of dilaton AdS black holes
• New black hole solutions in three-dimensional $f(R)$ gravity
• Multi-horizons black hole solutions, photon sphere and perihelion shift in weak ghost-free Gauss-Bonnet theory of gravity
• Quadratic and cubic spherically symmetric black holes in the modified teleparallel equivalent of general relativity: Energy and thermodynamics
• Black holes with Lagrange multiplier and potential in mimetic-like gravitational theory: multi-horizon black holes
• Slow-rotating charged black hole solution in dynamical Chern-Simons modified gravity
• Holographic complexity of hyperbolic black holes
• Extremal Myers-Perry black holes in Born-Infeld-dilaton theory
• Anti-de-Sitter-Maxwell-Yang-Mills black holes thermodynamics from nonlocal observables point of view
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• An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field
• Energy Conditions in Extended $f(R,G,T)$ Gravity
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• Probing Einstein-Maxwell-Scalar Black hole via Thin Accretion Disks and Shadows with EHT Observations of M87* and Sgr A*
• Holographic supersymmetric Renyi entropies from hyperbolic black holes with scalar hair
• How Does the Quark-Gluon Plasma Know the Collision Energy?
• Some perspective of thermodynamical and optical properties of black holes in Maxwell-dilaton-dRGT-like massive gravity
• Constructing higher dimensional exact black holes in Einstein-Maxwell-scalar-theory
• Causal structure and the geodesics in the hairy extension of the Bertotti-Robinson spacetime