James E Lidsey 2009 Class. Quantum Grav. 26 147001 doi:10.1088/0264-9381/26/14/147001
Thermodynamics of anomaly-driven cosmology
James E Lidsey
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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 the 
super-Yang–Mills theory. This correspondence allows for a thermodynamic description of the dynamics of the Randall–Sundrum braneworld scenario.
- PACS
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04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics
- MSC
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82B30 Statistical thermodynamics (See also 80-XX)
81T13 Yang-Mills and other gauge theories (See also 53C07, 58E15)
- Subjects
- Dates
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Issue 14 (21 July 2009)
Received 2 April 2009
Published 18 June 2009
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Thermodynamics of anomaly-driven cosmology
James E Lidsey 2009 Class. Quantum Grav. 26 147001
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