Black String in Massive Gravity

Abstract

We will analyze a black string in dRGT massive theory of gravity. Considering different approaches, we will study the critical behavior, phase transition and thermal stability for such a black string solution. We will also analyze the Van der Waals behavior for this system, and observe that the Van der Waals behavior depends on the graviton mass. It will be observed that the thermal fluctuations can modify the behavior of this system. We will explicitly analyze the effect of such fluctuations on the stability of this black string solution. This will be done using the Hessian matrix for this system.

arXiv comment20 pages, 10 figures

References in corpus (92)

• Thermodynamics of Spacetime: The Einstein Equation of State
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• Resummation of Massive Gravity
• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• The Confrontation between General Relativity and Experiment
• Generalization of the Fierz-Pauli Action
• Black Strings and p-Branes are Unstable
• Massive Gravity
• Theoretical Aspects of Massive Gravity
• Everything You Always Wanted To Know About The Cosmological Constant Problem (But Were Afraid To Ask)
• Black hole chemistry: thermodynamics with Lambda
• Resolving the Ghost Problem in non-Linear Massive Gravity
• Pressure and volume in the first law of black hole thermodynamics
• The cosmological constant and the black hole equation of state
• Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
• Cylindrical Black Hole in General Relativity
• General Logarithmic Corrections to Black Hole Entropy
• Testing General Relativity in Cosmology
• Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
• Kerr-AdS analogue of triple point and solid/liquid/gas phase transition
• Ghost free Massive Gravity in the Stückelberg language
• Thermodynamics of Black Holes in Massive Gravity
• Thermodynamic Volumes and Isoperimetric Inequalities for de Sitter Black Holes
• Misner String Entropy
• Static Axisymmetric Vacuum Solutions and Non-Uniform Black Strings
• Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space
• Exact Black String Solutions in Three Dimensions
• Universal Resistivity from Holographic Massive Gravity
• Analytic solutions in non-linear massive gravity
• Nut Charge, Anti-de Sitter Space and Entropy
• Holography without translational symmetry
• Graviton Mass Bounds
• Thermodynamic curvature and phase transitions in Kerr-Newman black holes
• Exact Schwarzschild-de Sitter black holes in a family of massive gravity models
• On Black Holes in Massive Gravity
• Bimetric gravity is cosmologically viable
• Geometrothermodynamics of black holes
• Gravitational Entropy and Global Structure
• Topological Defects Coupling Smectic Modulations to Intra-unit-cell Nematicity in Cuprate
• A critical dimension in the black-string phase transition
• Thermal Fluctuations in a Charged AdS Black Hole
• Ruppeiner Geometry, Phase Transitions, and the Microstructure of Charged AdS Black Holes
• Black string instabilities in anti-de Sitter space
• P - V Criticality of Logarithmic Corrected Dyonic Charged AdS Black Hole
• Connecting black holes and black strings
• A class of black holes in dRGT massive gravity and their thermodynamical properties
• Thermodynamic curvature measures interactions
• Thermodynamics of horizons: de Sitter black holes and reentrant phase transitions
• Entropy of Rotating Misner String Spacetimes
• A new approach toward geometrical concept of black hole thermodynamics
• Reentrant phase transitions and van der Waals behaviour for hairy black holes
• Holographic Phonons
• Phase Transitions and Critical Behavior for Charged Black Holes
• The Action of Instantons with Nut Charge
• Thermodynamics of a Sufficient Small Singly Spinning Kerr-AdS Black Hole
• Thermodynamic curvature and black holes
• Logarithmic corrections of charged hairy black hole in (2+1) dimension
• Cosmological behavior in extended nonlinear massive gravity
• P-V criticality of first-order entropy corrected AdS black holes in massive gravity
• Charged BTZ black holes in the context of massive gravity's rainbow
• Greybody factor for black string in dRGT massive gravity
• Charge rotating black string in gravitating nonlinear electromagnetic fields
• Thermodynamic curvature from the critical point to the triple point
• Phase transitions in geometrothermodynamics
• Geometrical method for thermal instability of nonlinearly charged BTZ Black Holes
• Rotating Black String with Nonlinear Source
• Quantum Fluctuations of a BTZ Black Hole in Massive Gravity
• Stars and Black Holes in Massive Gravity
• Critical Phenomena of Charged de Sitter Black Holes in Cavities
• Nonuniform black strings in various dimensions
• Measurement of exclusive ${\rm Y}$ photoproduction from protons in pPb collisions at $\sqrt{s_{\mathrm{NN}}}=$ 5.02 TeV
• Effect of Thermal Fluctuations on a Charged Dilatonic Black Saturn
• BTZ black holes in massive gravity
• Thermodynamics of Gauss-Bonnet-de Sitter Black Holes
• Thermodynamic curvature: pure fluids to black holes
• Higher dimensional nonlinear massive gravity
• PV criticality of the second order quantum corrected Horava-Lifshitz black hole
• Range of novel black hole phase transitions via massive gravity: Triple points and N-fold reentrant phase transitions
• Static and rotating black strings in dynamical Chern-Simons modified gravity
• Higher dimensional massive bigravity
• Exact black strings and p-branes in general relativity
• Pseudo-spectral construction of non-uniform black string solutions in five and six spacetime dimensions
• Some Reflections on the Status of Conventional Quantum Theory when Applied to Quantum Gravity
• Quantum Fluctuations from Thermal Fluctuations in Jacobson Formalism
• Charged black hole chemistry with massive gravitons
• New Black-String Solutions for an Anti-de Sitter Brane in Scalar-Tensor Gravity
• Anti-Gravitating Brane-World Solutions for a de Sitter Brane in Scalar-Tensor Gravity
• Reduced Massive Gravity with Two Stückelberg Fields
• Rotating black string in dRGT massive gravity
• Lovelock black p-branes with fluxes
• Tachyons in de Sitter space and analytical continuation from dS/CFT to AdS/CFT
• Geodesic Deviation in the AdS Black String Spacetime

Cited by in corpus (8)

• Weak Gravity Conjecture, Black Branes and Violations of Universal Thermodynamic Relation
• Quantum Thermodynamics of an M2-M5 Brane System
• Phase transitions of black strings in dynamical Chern-Simons modified gravity
• Thermodynamics of Black String from Rényi entropy in de Rham-Gabadadze-Tolley Massive Gravity Theory
• Small Black String Thermodynamics
• Black strings from dark matter
• Compactified extra dimension and entanglement island as clues to quantum gravity
• Representation of compact stars using the black string set--up