Entropy of a generic null surface from its associated Virasoro algebra

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• 作者：Sumanta Chakraborty ^{sumanta@iucaa.in sumantac.physics@gmail.com} ; Sourav Bhattacharya ; ^{sbhatta@iucaa.in} ; T. Padmanabhan ^{paddy@iucaa.in}
• 关键词：Entropy-area law ; General null surfaces ; Surface term ; Virasoro algebra
• 刊名：Physics Letters B
• 出版年：2016
• 出版时间：10 December 2016
• 年：2016
• 卷：763
• 期：Complete
• 页码：347-351
• 全文大小：284 K
• 卷排序：763

文摘

Null surfaces act as one-way membranes, blocking information from those observers who do not cross them (e.g., in the black hole and the Rindler spacetimes) and these observers associate an entropy (and temperature) with the null surface. The black hole entropy can be computed from the central charge of an appropriately defined, local, Virasoro algebra on the horizon. We show that one can extend these ideas to a general class of null surfaces, all of which possess a Virasoro algebra and a central charge, leading to an entropy density (i.e., per unit area) which is just (1/4)(1/4). All the previously known results of associating entropy with horizons arise as special cases of this very general property of null surfaces demonstrated here and we believe this work represents the derivation of the entropy-area law in the most general context. The implications are discussed.