Corrected Entropy of Friedmann-Robertson-Walker Universe in Tunneling Method
arXiv:0905.1838 · doi:10.1088/1475-7516/2009/08/010
Abstract
In this paper, we study the thermodynamic quantities of Friedmann-Robertson-Walker (FRW) universe by using the tunneling formalism beyond semiclassical approximation developed by \emph{Banerjee} and \emph{Majhi}\cite{beyond0}. For this we first calculate the corrected Hawking-like temperature on apparent horizon by considering both scalar particle and fermion tunneling. With this corrected Hawking-like temperature, the explicit expressions of the corrected entropy of apparent horizon for various gravity theories including Einstein gravity, Gauss-Bonnet gravity, Lovelock gravity, gravity and scalar-tensor gravity, are computed. Our results show that the corrected entropy formula for different gravity theories can be written into a general expression (\ref{entropy-final}) of a same form. It is also shown that this expression is also valid for black holes. This might imply that the expression for the corrected entropy derived from tunneling method is independent of gravity theory, spacetime and dimension of the spacetime. Moreover, it is concluded that the basic thermodynamical property that the corrected entropy on apparent horizon is a state function is satisfied by the FRW universe.
25 pages, no figure, and comments are welcome; v2:27 pages, more references added and typoes corrected, accepted for publication in JCAP
References in corpus (85)
- f(R) Theories Of Gravity
- Thermodynamics of Spacetime: The Einstein Equation of State
- Hawking Radiation as Tunneling
- Gauss-Bonnet Black Holes in AdS Spaces
- First Law of Thermodynamics and Friedmann Equations of Friedmann-Robertson-Walker Universe
- Black hole entropy in Loop Quantum Gravity
- Particle production and complex path analysis
- Logarithmic correction to the Bekenstein-Hawking entropy
- Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
- Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
- Non-equilibrium Thermodynamics of Spacetime
- One-loop f(R) gravity in de Sitter universe
- On Physical Equivalence between Nonlinear Gravity Theories
- Black hole entropy from Quantum Geometry
- Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
- Fermions Tunnelling from Black Holes
- Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
- Quantum Tunneling Beyond Semiclassical Approximation
- f(R) Gravity and scalar-tensor theory
- Hawking radiation as tunneling from the Kerr and Kerr-Newman black holes
- Hawking temperature in the tunneling picture
- Hawking radiation in different coordinate settings: Complex paths approach
- Charged Fermions Tunnelling from Kerr-Newman Black Holes
- Thermodynamic Behavior of Field Equations for f(R) Gravity
- Hawking Radiation of Apparent Horizon in a FRW Universe
- Quantum Tunneling and Back Reaction
- A Note on Thermodynamics of Black Holes in Lovelock Gravity
- Noncommutative Black Hole Thermodynamics
- Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
- Charged particles' tunnelling from the Kerr-Newman black hole
- Corrected Entropy-Area Relation and Modified Friedmann Equations
- Temporal contribution to gravitational WKB-like calculations
- Friedmann Equations and Thermodynamics of Apparent Horizons
- Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
- Dirac particles tunneling from BTZ black hole
- Hawking radiation of Dirac particles via tunnelling from rotating black holes in de Sitter spaces
- Thermodynamics of Apparent Horizon in Brane World Scenario
- Gauss-Bonnet Black Holes in dS Spaces
- Subtleties in the quasi-classical calculation of Hawking radiation
- Generalization of the KKW Analysis for Black Hole Radiation
- Semiclassical Corrections to the Bekenstein-Hawking entropy of the BTZ Black Hole via Self-Gravitation
- On the log correction to the black hole area law
- Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet gravity
- Fermion Tunneling Beyond Semiclassical Approximation
- Hawking black body spectrum from tunneling mechanism
- Quantum Tunneling and Trace Anomaly
- Thermal radiation of various gravitational backgrounds
- Generalized Vaidya Spacetime in Lovelock Gravity and Thermodynamics on Apparent Horizon
- Corrected entropy of BTZ black hole in tunneling approach
- Are Extremal 2D Black Holes Really Frozen ?
- Hawking radiation of Dirac particles via tunneling from Kerr black hole
- Final fate of spherically symmetric gravitational collapse of a dust cloud in Einstein-Gauss-Bonnet gravity
- Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe
- Dirac particles' tunnelling from black rings
- Connecting anomaly and tunneling methods for Hawking effect through chirality
- On Gauss-Bonnet black hole entropy
- Comments on anomaly versus WKB/tunneling methods for calculating Unruh radiation
- Two-Dimensional Dilatonic Black Holes and Hawking Radiation
- On Hawking Radiation as Tunneling with Logarithmic Corrections
- Remarks on Hawking radiation as tunneling from the BTZ black holes
- Fermions tunnelling from the charged dilatonic black holes
- Exact Differential and Corrected Area Law for Stationary Black Holes in Tunneling Method
- F(R) gravity equation of state
- Problems with Tunneling of Thin Shells from Black Holes
- Black Hole Thermodynamics and the Factor of 2 Problem
- A comment on black hole entropy or does Nature abhor a logarithm?
- Thermodynamics of Apparent Horizon in Brane World Scenarios
- Self-Gravitational Corrections to the Cardy-Verlinde Formula of Achucarro-Ortiz Black Hole
- Black holes in the Brans-Dicke-Maxwell theory
- Thermodynamics on the apparent horizon in generalized gravity theories
- Self-Gravitational Corrections to the Cardy-Verlinde Formula and the FRW Brane Cosmology in SdS_5 Bulk
- Hawking Radiation due to Photon and Gravitino Tunneling
- Corrections to Hawking-like Radiation for a Friedmann-Robertson-Walker Universe
- Massive particles' Hawking radiation via tunneling from the G.H Dilaton black hole
- First law of thermodynamics and Friedmann-like equations in braneworld cosmology
- Dynamical black holes with symmetry in Einstein-Gauss-Bonnet gravity
- Evidence for two distinct anisotropies in the oxypnictide superconductors SmFeAsO_(0.8)F_(0.2) and NdFeAsO_(0.8)F_(0.2)
- Fermions Tunneling from Apparent Horizon of FRW Universe
- Massive uncharged and charged particles' tunneling from the Horowitz-Strominger Dilaton black hole
- Corrections to Unruh effect in tunneling formalism and mapping with Hawking effect
- Thermodynamics of Friedmann Equation and Masslike Function in General Braneworld
- The equation of state for scalar-tensor gravity
- Hawking Radiation from a Vaidya Black Hole: A Semi-Classical Approach and Beyond
- Hawking Temperature of Dilaton Black Holes from Tunneling
- Quasi-classical Hawking Temperatures and Black Hole Thermodynamics
Cited by in corpus (23)
- Generalized Uncertainty Principle: Approaches and Applications
- Tunnelling Methods and Hawking's radiation: achievements and prospects
- Voros product, Noncommutative Schwarzschild Black Hole and Corrected Area Law
- Fading Hawking Radiation
- Hawking radiation of black holes in the Horava-Lifshitz gravity
- Insights and possible resolution to the information loss paradox via the tunneling picture
- Quantum Tunneling, Blackbody Spectrum and Non-Logarithmic Entropy Correction for Lovelock Black Holes
- Effects of quantum gravity on the inflationary parameters and thermodynamics of the early universe
- Back reaction, emission spectrum and entropy spectroscopy
- Anomaly analysis of Hawking radiation from Kaluza-Klein black hole with squashed horizon
- Dynamical horizon entropy and equilibrium thermodynamics of generalized gravity theories
- Phase Transitions and Critical Phenomena for the FRW Universe in an Effective Scalar-Tensor Theory
- Quantum Corrections for ABGB Black Hole
- Self-similarity, conservation of entropy/bits and the black hole information puzzle
- Insight into the Microstructure of FRW Universe from a - Phase Transition
- Logarithmic corrections to black hole and black ring entropy in tunneling approach
- Higher Spins Tunneling from a Time Dependent and Spherically Symmetric Black Hole
- Invariance of the Hamilton-Jacobi tunneling method for black holes and FRW model
- Back reaction, covariant anomaly and effective action
- Towards experimentally studying some puzzles of Hawking radiation
- Holographic vacuum energy regularization and corrected entropy of de Sitter space
- Implications of maximum acceleration on dynamics
- Critical Robertson-Walker universes