Thermodynamics of Quasi-Topological Cosmology

Abstract

In this paper, we study thermodynamical properties of the apparent horizon in a universe governed by quasi-topological gravity. Our aim is twofold. First, by using the variational method we derive the general form of Friedmann equation in quasi-topological gravity. Then, by applying the first law of thermodynamics on the apparent horizon, after using the entropy expression associated with the black hole horizon in quasi-topological gravity, and replacing the horizon radius, $r_{+}$, with the apparent horizon radius, ${\tilde{r}}_A$, we derive the corresponding Friedmann equation in quasi-topological gravity. We find that these two different approaches yield the same result which show the profound connection between the first law of thermodynamics and the gravitational field equations of quasi-topological gravity. We also study the validity of the generalized second law of thermodynamics in quasi-topological cosmology. We find that, with the assumption of the local equilibrium hypothesis, the generalized second law of thermodynamics is fulfilled for the universe enveloped by the apparent horizon for the late time cosmology.

8 pages, no figure, Phys. Lett B, in press (2013)

References in corpus (19)

• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• Unified First Law and Thermodynamics of Apparent Horizon in FRW Universe
• Horava-Lifshitz Cosmology
• Friedmann Equations of FRW Universe in Scalar-tensor Gravity, f(R) Gravity and First Law of Thermodynamics
• Thermodynamic route to Field equations in Lanczos-Lovelock Gravity
• Hawking Radiation of Apparent Horizon in a FRW Universe
• Beyond eta/s = 1/4pi
• Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
• A new cubic theory of gravity in five dimensions: Black hole, Birkhoff's theorem and C-function
• Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
• Thermodynamics of Apparent Horizon in Brane World Scenario
• Quantum corrections to eta/s
• Universal holographic hydrodynamics at finite coupling
• Quasi-Topological Lifshitz Black Holes
• Holographic Superconductors in Quasi-topological Gravity
• On higher derivative gravity, c-theorems and cosmology
• Quasi-topological Reissner-Nordström Black Holes
• Thermodynamics of the apparent horizon in infrared modified Horava-Lifshitz gravity
• Surface Terms of Quartic Quasitopological Gravity and Thermodynamics of Nonlinear Charged Rotating Black Branes

Cited by in corpus (5)

• Constant sound speed and its thermodynamical interpretation in $f(Q)$ gravity
• Quartic Quasi-topological Gravity, Black Holes and Holography
• Derive Lovelock Gravity from String Theory in Cosmological Background
• Thermodynamical study of FRW universe in Quasi-Topological Theory
• Misner-Sharp Energy and P-V Criticality in Quasi-Topological Cosmology