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      A New Global Embedding Approach to Study Hawking and Unruh Effects

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          Abstract

          A new type of global embedding of curved space-times in higher dimensional flat ones is introduced to present a unified description of Hawking and Unruh effects. Our analysis simplifies as well as generalises the conventional embedding approach.

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          Absorption cross section of small black holes

          W. Unruh (1976)
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            Relationship between Hawking Radiation and Gravitational Anomalies

            We show that in order to avoid a breakdown of general covariance at the quantum level the total flux in each outgoing partial wave of a quantum field in a black hole background must be equal to that of a (1+1)-dimensional blackbody at the Hawking temperature.
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              Anomalies, Hawking Radiations and Regularity in Rotating Black Holes

              This is an extended version of our previous letter hep-th/0602146. In this paper we consider rotating black holes and show that the flux of Hawking radiation can be determined by anomaly cancellation conditions and regularity requirement at the horizon. By using a dimensional reduction technique, each partial wave of quantum fields in a d=4 rotating black hole background can be interpreted as a (1+1)-dimensional charged field with a charge proportional to the azimuthal angular momentum m. From this and the analysis gr-qc/0502074, hep-th/0602146 on Hawking radiation from charged black holes, we show that the total flux of Hawking radiation from rotating black holes can be universally determined in terms of the values of anomalies at the horizon by demanding gauge invariance and general coordinate covariance at the quantum level. We also clarify our choice of boundary conditions and show that our results are consistent with the effective action approach where regularity at the future horizon and vanishing of ingoing modes at r=\infty are imposed (i.e. Unruh vacuum).
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                Author and article information

                Journal
                04 February 2010
                2010-05-03
                Article
                10.1016/j.physletb.2010.05.001
                1002.0985
                8953ac2c-b50c-4fe2-8cde-198010a950f8

                http://creativecommons.org/licenses/by/3.0/

                History
                Custom metadata
                Phys.Lett.B690:83-86,2010
                Latex, 7 pages, no figure, title modified, paper shortened, section-4 omitted, to appear in Phys. Lett. B
                gr-qc hep-th

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