arXiv:hep-th/0207009·v3·High Energy Physics — Theory
The AdS/CFT Correspondence and Logarithmic Corrections to Braneworld Cosmology and the Cardy-Verlinde Formula
James E. Lidsey🇬🇧 · Shin'ichi Nojiri🇬🇧 · Sergei D. Odintsov🇬🇧 · Sachiko Ogushi🇬🇧
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.
Comments: 15 pages, 2 figures. Typographical errors corrected. Conclusions unaltered