Entropy of Higher Dimensional Charged Gauss-Bonnet Black hole in de Sitter Space

Abstract

The fundamental equation of the thermodynamic system gives the relation between internal energy, entropy and volume of two adjacent equilibrium states. Taking higher dimensional charged Gauss-Bonnet black hole in de Sitter space as a thermodynamic system, the state parameters have to meet the fundamental equation of thermodynamics. We introduce the effective thermodynamic quantities to describe the black hole in de Sitter space. Considering that in the lukewarm case the temperature of the black hole horizon is equal to that of the cosmological horizon, the effective temperature of spacetime is the same, we conjecture that the effective temperature has the same value. In this way, we can obtain the entropy formula of spacetime by solving the differential equation. We find that the total entropy contain an extra terms besides the sum of the entropies of the two horizons. The corrected terms of the entropy is a function of horizon radius ratio, and is independent of the charge of the spacetime.

arXiv comment14 pagess,6 figures, references added, minor corrections to content

References in corpus (31)

• On the Origin of Gravity and the Laws of Newton
• P-V criticality of charged AdS black holes
• Gauss-Bonnet Black Holes in AdS Spaces
• P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space
• Thermodynamic Volumes and Isoperimetric Inequalities for de Sitter Black Holes
• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• Thermodynamics of de Sitter Black Holes: Thermal Cosmological Constant
• Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space
• Cardy-Verlinde Formula and Thermodynamics of Black Holes in de Sitter Spaces
• Mechanical First Law of Black Hole Spacetimes with Cosmological Constant and Its Application to Schwarzschild-de Sitter Spacetime
• Thermodynamics of horizons: de Sitter black holes and reentrant phase transitions
• Ultra-compact structure in intermediate-luminosity radio quasars: building a sample of standard cosmological rulers and improving the dark energy constraints up to $z\sim 3$
• Gauss-Bonnet coupling constant as a free thermodynamical variable and the associated criticality
• Hawking Radiation Spectra for Scalar Fields by a Higher-Dimensional Schwarzschild-de-Sitter Black Hole
• Mass function and particle creation in Schwarzschild-de Sitter spacetime
• Constraints on cosmological models from lens redshift data
• Entropy of Reissner-Nordström-de Sitter black hole
• A note on entropy of de Sitter black holes
• Effective Temperatures and Radiation Spectra for a Higher-Dimensional Schwarzschild-de-Sitter Black-Hole
• Cosmic equation of state from combined angular diameter distances: Does the tension with luminosity distances exist?
• Cosmography of KNdS Black Holes and Isentropic Phase Transitions
• Phase transition and entropy spectrum of BTZ black hole in three-dimensional gravity with torsion
• Stability and Anti-evaporation of the Schwarzschild-de Sitter Black Holes in Bigravity
• Entropy of Kerr-de Sitter black hole
• Cosmological investigation of multi-frequency VLBI observations of ultra-compact structure in $z\sim 3$ radio quasars
• The "universal property" of Horizon Entropy Sum of Black Holes in Four Dimensional Asymptotical (anti-)de-Sitter Spacetime Background
• Observational Constraints on Interacting Dark Matter Model Without Dark Energy
• $Q-\Phi$ criticality in the extended phase space of $(n+1)$-dimensional RN-AdS black holes
• Thermodynamics of de Sitter black hole in massive gravity
• Black Hole Entropy and the Problem of Universality
• Covariant and infrared-free graviton two-point function in de Sitter spacetime II

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