Thermodynamics of Anomaly-Driven Cosmology

Details Thermodynamics of Anomaly-Driven Cosmology Thermodynamics of Anomaly-Driven Cosmology

2008-12-15

arxiv.org/abs/0812.2791v1

Class.Quant.Grav.26:147001,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, no figures

Scientific paper

10.1088/0264-9381/26/14/147001

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 ${\cal{N}}=4$ U(N) super-Yang-Mills theory. This correspondence allows for a thermodynamic description of the dynamics of the Randall-Sundrum braneworld scenario.

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