The AdS/CFT Correspondence and Logarithmic Corrections to Braneworld Cosmology and the Cardy-Verlinde Formula

Abstract

The AdS/CFT correspondence is employed to derive logarithmic corrections to the Cardy-Verlinde formula when thermal fluctuations in the Anti-de Sitter black hole are accounted for. The qualitative effect of these corrections on the braneworld cosmology is investigated. The role of such terms in enabling a contracting universe to undergo a bounce is demonstrated. Their influence on the stability of black holes in AdS space and the Hawking-Page-Witten phase transitions is also discussed.

15 pages, 2 figures. Typographical errors corrected. Conclusions unaltered

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