Noncommutative inspired Schwarzschild black hole, Voros product and Komar energy

The importance of the Voros product in defining a noncommutative Schwarzschild black hole is shown. The entropy is then computed and the area law is shown to hold upto order . The leading correction to the entropy (computed in the tunneling formalism) is shown to be logarithmic. The Komar energy E f...

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Bibliographic Details
Published in:Journal of physics. Conference series 2012-01, Vol.405 (1), p.12014-4
Main Author: Gangopadhyay, Sunandan
Format: Article
Language:English
Subjects:
Black holes
Black holes (astronomy)
Computation
Deformation
Entropy
Formalism
Law
Physics
Texts
Tunneling
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Summary:The importance of the Voros product in defining a noncommutative Schwarzschild black hole is shown. The entropy is then computed and the area law is shown to hold upto order . The leading correction to the entropy (computed in the tunneling formalism) is shown to be logarithmic. The Komar energy E for these black holes is then obtained and a deformation from the conventional identity E 2STH is found at the order . This deformation leads to a nonvanishing Komar energy at the extremal point TH 0 of these black holes. Finally, the Smarr formula is worked out. Similar features also exist for a deSitter–Schwarzschild geometry.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/405/1/012014