Stretched Horizon and Entropy of Superstars

Details Stretched Horizon and Entropy of Superstars Stretched Horizon and Entropy of Superstars

2007-03-26

arxiv.org/abs/hep-th/0703223v2

JHEP 0705:063,2007

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, 3 figures, 2 references added

Scientific paper

10.1088/1126-6708/2007/05/063

Amongst the class of supergravity solutions found by Lin, Lunin and Maldacena, we consider pure and mixed state configurations generated by phase space densities in the dual fermionic picture. A one-to-one map is constructed between the phase space densities and piecewise monotonic curves, which generalize the Young diagrams corresponding to pure states. Within the fermionic phase space picture, a microscopic formula for the entropy of mixed states is proposed. Considering thermal ensembles, agreement is found between the thermodynamic and the proposed microscopic entropies. Furthermore, we study fluctuations in thermodynamic ensembles for the superstar and compare the entropy of these ensembles with the area of stretched horizons predicted by the mean fluctuation size.

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