Noncommutative black hole thermodynamics
By R. Banerjee, Bibhas Ranjan Majhi, Saurav Samanta. 2008
239 citations recorded by the source corpus.
We give a general derivation, for any static spherically symmetric metric, of the relation T{sub h}=(K/2{pi}) connecting the black hole temperature (T{sub h}) with the surface gravity (K), following the tunneling interpretation of Hawking radiation. This derivation is valid even beyond the semi-classical regime, i.e. when quantum effects are not negligible. The formalism is then applied to a spherically symmetric, stationary noncommutative Schwarzschild space-time. The effects of backreaction are also included. For such a black hole the Hawking temperature is computed in a closed form. A graphical analysis reveals interesting features regarding the variation of the Hawking temperature (including corrections due to noncommutativity and backreaction) with the small radius of the black hole. The entropy and tunneling rate valid for the leading order in the noncommutative parameter are calculated. We also show that the noncommutative Bekenstein-Hawking area law has the same functional form as the usual one.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/961f6fbf33d84bb5d30c7688ac4278175f29ba56
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Citations in the corpus
- Quantum tunneling and trace anomaly (2008, methodology): “The results are related to the trace anomaly and are shown to be equivalent to findings inferred from Hawking’s original calculation based on path integrals using zeta function regularization.”
- Hawking radiation as quantum tunneling from a noncommutative Schwarzschild black hole (2008, methodology): “After we completed this work, Banerjee et al reported a similar treatment of the problem [35].”