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Quantum tunneling from generalized (2+1) dimensional black holes having Noether symmetry

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arxiv 1403.7728 v2 pith:TFASW3TZ submitted 2014-03-30 gr-qc

Quantum tunneling from generalized (2+1) dimensional black holes having Noether symmetry

classification gr-qc
keywords blackholestunnelingdimensionalhawkingsymmetrygeneralizednoether
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We have studied the Hawking radiation from {\it generalized} rotating and static $(2+1)$-dimensional BTZ black holes. In this regard, we have benefited the quantum tunneling approach with WKB approximation and obtained the tunneling rate of outgoing scalar and spinor particles across the horizons. We have also obtained the Hawking temperature at the horizons corresponding to the emission of these particles. It is shown that the tunneling rate and Hawking temperature of generalized $(2+1)$-dimensional BTZ black holes are different from ordinary $(2+1)$-dimensional BTZ black holes due to the Noether symmetry. In other words, the Noether symmetry can change the tunneling rate and Hawking temperature of the BTZ black holes. This symmetry may cause the BTZ black holes to avoid of evaporation and its breakdown may start the evaporation.

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