Abstract
Using Damour-Ruffini’s and Hamilton-Jacobi’s methods, Hawking radiation from a Vaidya black hole is investigated. Due to non-stationary black holes, the event horizon r H and the entropy S are all related to both the mass m(υ) and \(\dot{r}_{H}\) . When the back-reaction of particles’s energy to space-time is considered, we get the emission probability. It is found that the result is different from that of the stationary Schwarzschild black hole, because \(\dot{r}_{H}\) is the function of mass m(υ).
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References
Angheben, M., Nadalini, M., Vanzo, L., Zerbini, S.: J. High Energy Phys. 505, 14 (2005), hep-th/0503081
Collins, W.: Phys. Rev. D 45, 495 (1992)
Damour, T., Ruffini, R.: Phys. Rev. D 14, 332 (1976)
Dawood, A.K., Ghosh, S.G.: Phys. Rev. D 70, 104010 (2004)
Fodor, G., Nakamura, K., Oshiro, Y., Tomimatsu, A.: Phys. Rev. D 54, 3882 (1996)
Gao, L., Liu, W.B.: Commun. Theor. Phys. 46, 766 (2006)
Hawking, S.W.: Nature 248, 30 (1974)
Hawking, S.W.: Commun. Math. Phys. 43, 199 (1975)
Hawking, S.W.: Phys. Rev. D 14, 2460 (1976)
Hawking, S.W.: Phys. Rev. D 72, 084013 (2005)
Hayward, S.A.: Phys. Rev. D 70, 104027 (2004)
He, X.K., Liu, W.B.: Chin. Phys. Lett. 24, 2448 (2007)
Jiang, Q.Q., Wu, S.Q., Cai, X.: Phys. Rev. D 73, 064003 (2006), hep-th/0512351
Kraus, P., Wilczek, F.: Nucl. Phys. B 433, 403 (1994)
Li, X., Zhao, Z.: Phys. Rev. D 62, 104001 (2000)
Li, X., Zhao, Z.: Chin. Phys. Lett. 18, 463 (2006)
Liu, W.B.: J. Beijing Norm. University Nat. Sci. 43, 144 (2007)
Parikh, M.K.: Int. J. Mod. Phys. D 13, 2351 (2004)
Parikh, M.K., Wilczek, F.: Phys. Rev. Lett. 85, 5042 (2002)
Ren, J., Zhang, J.Y., Zhao, Z.: Chin. Phys. Lett. 23, 2019 (2006)
Vaidya, P.C.: Gen. Relat. Gravit. 31, 119 (1951a)
Vaidya, P.C.: Proc. India Acad. Sci. A 33, 264 (1951b)
Zhang, J.Y., Zhao, Z.: J. High Energy Phys. 10, 55 (2005a)
Zhang, J.Y., Zhao, Z.: Nucl. Phys. B 725, 173 (2005b)
Zhang, J.Y., Zhao, Z.: Phys. Lett. B 618, 14 (2005c)
Zhao, Z.: The Thermal Nature of Black Hole and The Singularity of The Space-Time. Beijing Normal University Press, Beijing (1999)
Zhao, Z., Dai, X.X.: Mod. Phys. Lett. A 7, 1771 (1992)
Zhao, Z., Gui, Y.X., Liu, L.: Chin. Astrophys. 7, 201 (1983)
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Zhang, Y., Liu, W. Back reaction and Hawking radiation from a Vaidya black hole. Astrophys Space Sci 312, 315–319 (2007). https://doi.org/10.1007/s10509-007-9696-0
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DOI: https://doi.org/10.1007/s10509-007-9696-0