Hawking Temperature of the Reissner-Nordstrom-Vaidya Black Hole
Keywords:black hole horizon, charged black hole, complex path, extreme Reissner-Nordstrom-Vaidya black hole, Hamilton-Jacobi equation, Hawking temperature, radial null geodesic, Reissner-Nordstrom-Vaidya black hole.
AbstractWe have derived the Hawking temperature of the Reissner-Nordstrom-Vaidya black hole by the use of both the radial null geodesic and the complex path methods. We have obtained that the mass dependence of the temperature in the Reissner-Nordstrom-Vaidya black hole is not as simple as that in the Schwarzschild black hole, but still we regain the conclusion, as in the case of the Schwarzschild black hole, that a higher Hawking temperature corresponds to a lower mass of a black hole.
Wald, R.M., General Relativity, The Univ. of Chicago Press, 1984.
Parikh, M.K. & Wilczek, F., Hawking Radiation as Tunneling, Phys. Rev. Lett., 85, pp. 5042-5045, [arXiv:hep-th/9907001v3], 2000.
Parikh, M.K., Membrane Horizons: The Black Hole's New Clothes, Ph.D. Thesis, Princeton University, Princeton, NJ [arXiv:hep-th/9907002], 1998.
Hawking, S.W., Particle Creation by Black Holes, Comm. Math. Phys., 43, pp. 199-220, 1975.
Wald, R.M., Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics, The Univ. of Chicago Press, 1994.
Srinivasan, K. & Padmanabhan, T., Particle Production and Complex Path Analysis, Phys. Rev., D 60, pp. 024007(1-20) [arXiv:hep-th/9812028v1], 1999.
Shankaranarayanan, S., Padmanabhan, T. & Srinivasan, K., Hawking Radiation in Different Coordinate Settings: Complex Path Approach, Class. Quant. Grav., 19, pp. 2671-2688 [arXiv:gr-qc/0010042], 2002.
Atiqur Rahman, M. & Ilias Hossain, M., Hawking Radiation of Schwarzschild-de Sitter Black Hole by Hamilton-Jacobi method, Phys. Lett. B 712, pp. 1-5, 2012.
Modak, S.K. & Singleton, D., Hawking Radiation as a Mechanism for Inflation, Int. J. Mod. Phys., D21, pp. 1242020, 2012.
Fischetti, S. & Marolf, D., Flowing Funnels: Heat Sources for Field Theories and the AdS_3 Dual of CFT_2 Hawking Radiation, Class. Quantum Grav. 29, pp. 105004, 2012.
Smolyaninov, I.I., Hwang, E. & Narimanov, E., Hyperbolic Metamaterial Interfaces: Hawking Radiation from Rindler Horizons and the "End of Time", Phys. Rev., B 85, pp. 235122, 2012.
Jannes, G., Hawking Radiation of E
Barbado, L.C., Barcelo, C. & Garay, L.J., Hawking Radiation as Perceived by Different Observers, Class. Quant. Grav. 28, pp. 125021, 2011.
Kaeonikhom, C., Singleton, D., Sushkov, S.V. & Yongram, N., Dynamics of Dirac-Born-Infeld Dark Energy Interacting with Dark Matter, Phys. Rev., D86, pp. 124049, 2012.
Modak, S.K. & Singleton, D., Inflation with A Graceful Exit and Entrance Driven by Hawking Radiation, Phys. Rev., D86, pp. 123515, 2012.
Rad, N. & Singleton, D., A Test of The Circular Unruh Effect Using Atomic Electrons, Eur. Phys. J., D66, pp. 258, 2012.
Siahaan, H.M. & Triyanta, Semiclassical Methods for Hawking Radiation from a Vaidya Black Hole, Int. J. of Mod. Phys., A 25 (01), pp. 145-153, 2010.
Ibohal, Ng. & Kapil, L., Charged Black Holes in Vaidya backgrounds: Hawking Radiation, Int. J. of Mod. Phys., D 19(04), pp. 437-464, [arXiv:gr-qc/1001.2616], 2010.
Akhmedov, E.T., Pilling, T. & Singleton, D., Subtleties in the Quasi-Classical Calculation of Hawking Radiation, Int. J. of Mod. Phys., D 17 (13 & 14), pp. 2453-2458, 2008.