Thermodynamics of Anomaly-Driven Cosmology

Abstract

The Friedmann equations of general relativity can be derived from the first law of thermodynamics when the entropy of the apparent horizon of a spatially isotropic universe is given by the Bekenstein-Hawking entropy. We point out that if the entropy of the apparent horizon receives a logarithmic correction, the first law of thermodynamics leads to a modified Friedmann equation which corresponds precisely to the time-time component of the semi-classical Einstein field equations sourced by the trace anomaly of $\mathcal{N}=4$ U(N) super-Yang-Mills theory. This correspondence allows for a thermodynamic description of the dynamics of the Randall-Sundrum braneworld scenario.

8 pages, no figures

References in corpus (9)

• Thermodynamic Behavior of Friedmann Equation at Apparent Horizon of FRW Universe
• Quantum Tunneling Beyond Semiclassical Approximation
• Hawking Radiation of Apparent Horizon in a FRW Universe
• Corrected Entropy-Area Relation and Modified Friedmann Equations
• Friedmann Equations and Thermodynamics of Apparent Horizons
• Thermodynamics on the apparent horizon in generalized gravity theories
• Anomaly Driven Cosmology: Big Boost Scenario and AdS/CFT Correspondence
• Constraints on Brane Inflation and Cosmic Strings
• Partonic State and Single Transverse Spin Asymmetry in Drell-Yan Process

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• Einstein gravity with Gauss-Bonnet entropic corrections
• The generalized second law in universes with quantum corrected entropy relations
• Thermodynamics in $f(R)$ gravity in the Palatini formalism
• Thermodynamic properties of modified gravity theories
• Approach to exact inflation in modified Friedmann equation
• Holographic Cosmology from the First Law of Thermodynamics and the Generalized Uncertainty Principle
• Modified gravity emerging from thermodynamics and holographic principle
• The Unified First law in "Cosmic Triad" Vector Field Scenario
• De Sitter entropy: on-shell versus off-shell