Influence of Generalized and Extended Uncertainty Principle on Thermodynamics of FRW universe

Abstract

The influence of the generalized uncertainty principle (GUP) and extended uncertainty principle (EUP) on the thermodynamics of the Friedmann-Robertson-Walker (FRW) universe has been investigated. It is shown that the entropy of the apparent horizon of the FRW universe gets a correction if one considers the effect of the GUP or EUP. Moreover, starting with the modified entropy and applying the first law of thermodynamics, $dE=TdS$, to the apparent horizon of the FRW universe, we obtain the modified Friedmann equations. The influence of the GUP or EUP on the thermodynamics of the FRW universe provides a deep insight into the understanding of the quantum gravity or large length scale corrections to the dynamics of the FRW universe.

7 papges, no figure, comments are welcome! v2:Typos corrected, some references added; v3:typoes corrected, more references added, final version to appear in Phys. Lett. B

References in corpus (20)

• Universality of Quantum Gravity Corrections
• Quantum Tunneling and Back Reaction
• Thermodynamical Properties of Apparent Horizon in Warped DGP Braneworld
• Corrected Entropy-Area Relation and Modified Friedmann Equations
• Friedmann Equations and Thermodynamics of Apparent Horizons
• Deep Connection Between Thermodynamics and Gravity in Gauss-Bonnet Braneworld
• The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
• Natural extension of the Generalised Uncertainty Principle
• Entropy of Null Surfaces and Dynamics of Spacetime
• Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet gravity
• Thermodynamics of Apparent Horizon in Brane World Scenarios
• The Big-Bang Singularity in the framework of a Generalized Uncertainty Principle
• Thermodynamics of a black hole based on a generalized uncertainty principle
• Thermodynamics on the apparent horizon in generalized gravity theories
• Quantum Dynamics of the Taub Universe in a Generalized Uncertainty Principle framework
• First law of thermodynamics and Friedmann-like equations in braneworld cosmology
• Dynamical black holes with symmetry in Einstein-Gauss-Bonnet gravity
• Modified dispersion relations and (A)dS Schwarzschild Black holes
• From Unruh temperature to generalized Bousso bound
• The equation of state for scalar-tensor gravity

Cited by in corpus (2)

• Thermodynamics in $F(R)$ gravity with phantom crossing
• Corrected Entropy of Friedmann-Robertson-Walker Universe in Tunneling Method