Hawking radiation as tunneling from charged black holes in 0A string theory

Abstract

There has been much work on explaining Hawking radiation as a quantum tunneling process through horizons. Basically, this intuitive picture requires the calculation of the imaginary part of the action for outgoing particle. And two ways are known for achieving this goal: the null-geodesic method and the Hamilton-Jacobi method. We apply these methods to the charged black holes in 2D dilaton gravity which is originated from the low energy effective theory of type 0A string theory. We derive the correct Hawking temperature of the black holes including the effect of the back reaction of the radiation, and obtain the entropy by using the 1st law of black hole thermodynamics. For fixed-charge ensemble, the 0A black holes are free of phase transition and thermodynamically stable regardless of mass-charge ratio. We show this by interpreting the back reaction term as the inverse of the heat capacity of the black holes. Finally, the possibility of the phase transition in the fixed-potential ensemble is discussed.

12 pages; v2: references added, revised with some changes in formula and unaltered conclusions, to be published in Phys. Lett. B

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• Thermodynamics of regular black holes with cosmic strings
• Hawking radiation of scalars from charged accelerating and rotating black holes with NUT parameter
• Hawking radiation from rotating AdS black holes in conformal gravity
• Tunneling of Hawking radiation for BTZ black hole revisited
• Analogue Hawking radiation as a tunneling in a two-level $\mathcal{P}\mathcal{T}$-symmetric system
• Thermodynamic Geometry and Type 0A Black Holes