Abstract
We focus on the HR of massive vector (spin-1) particles tunneling from Schwarzschild BH expressed in the Kruskal–Szekeres and dynamic Lemaitre coordinates. Using the Proca equation together with the Hamilton–Jacobi and the WKB methods, we show that the tunneling rate, and its consequence Hawking temperature are well recovered by the quantum tunneling of the massive vector particles.
Similar content being viewed by others
References
Hawking, S.W.: Commun. Math. Phys. 43, 199 (1975); erratum-ibid, 46, 206 (1976)
Hawking, S.W., Ellis, G.: The Large Scale Structure of Space-Time. Cambridge University Press, Cambridge (1974)
Gibbons, G.W., Hawking, S.W.: Phys. Rev. D 15, 2738 (1977)
Unruh, W.G.: Phys. Rev. D 14, 870 (1976)
Damour, T., Ruffini, R.: Phys. Rev. D 14, 332 (1976)
Parikh, M.K., Wilczek, F.: Phys. Rev. Lett. 85, 5042 (2000)
Srinivasan, K., Padmanabhan, T.: Phys. Rev. D 60, 024007 (1999)
Sakalli, I., Halilsoy, M., Pasaoglu, H.: Astrophys. Space Sci. 340, 155 (2012)
Sakalli, I.: Int. J. Theor. Phys. 50, 2426 (2011)
Clément, G., Fabris, J.C., Marques, G.T.: Phys. Lett. B 651, 54 (2007)
Mazharimousavi, S.H., Halilsoy, M., Sakalli, I., Gurtug, O.: Class. Quantum Gravity 27, 105005 (2010)
Sakalli, I., Ovgun, A., Mirekhtiary, S.F.: Int. J. Geom. Methods Mod. Phys. 11, 1450074 (2014)
Jiang, Q.Q.: Class. Quantum Gravity 24, 4391 (2007)
Sakalli, I., Ovgun, A.: EPL 110, 10008 (2015)
Angheben, M., Nadalini, M., Vanzo, L., Zerbini, S.: JHEP 0505, 014 (2005)
Shankaranarayanan, S., Srinivasan, K., Padmanabhan, T.: Mod. Phys. Lett. A 16, 571 (2001)
Vanzo, L., Acquaviva, G., Di Criscienzo, R.: Class. Quantum Gravity 28, 18 (2011)
Kerner, R., Mann, R.B.: Phys. Rev. D 73, 104010 (2006)
Kerner, R., Mann, R.B.: Class. Quantum Gravity 25, 095014 (2008)
Iyer, S., Will, C.M.: Phys. Rev. D 35, 3621 (1987)
Beringer, J., et al.: Particle data group. Phys. Rev. D 86, 010001 (2012)
Aad, G., et al., ATLAS Collaboration: Phys. Lett. B 716, 1 (2012)
Kahn, Y., Thaler, J.: Phys. Rev. D 86, 115012 (2012)
Bednyakov, V. A.: arXiv:1505.04380
Balewski, J., Bernauer, J., Bessuille, J., Corliss, R., Cowan, R., et al.: arXiv:1412.4717
Kruglov, S.I.: Mod. Phys. Lett. A 29, 1450203 (2014)
Kruglov, S.I.: Int. J. Mod. Phys. A 26, 2487 (2011)
Kruglov, S.I.: Int. J. Mod. Phys. A 29, 1450118 (2014)
Zhong, Y., Li, J., Lin, K.: Int. J. Theor. Phys. 53(9), 3035 (2014)
Sakalli, I., Ovgun, A.: J. Exp. Theor. Phys. 121(3), 404 (2015). arXiv:1503.01316
Sakalli, I., Ovgun, A.: Eur. Phys. J. Plus 130, 110 (2015)
Chen, G., Zhou, S., Huang, Y.: Int. J. Mod. Phys. D 24, 1550005 (2014)
Chen, G., Zhou, S., Huang, Y.: Astrophys. Space Sci. 357, 51 (2015)
Galtsov, D.V., Pomerantseva, G.V., Chizhov, G. A.: Sov. Phys. J. 27, 697 (1984) [Izv. Vuz. Fiz. 27, 81 (1984)]
Konoplya, R.A.: Phys. Rev. D 73, 024009 (2006)
Konoplya, R.A., Zhidenko, A., Molina, C.: Phys. Rev. D 75, 084004 (2007)
Rosa, J.G., Dolan, S.R.: Phys. Rev. D 85, 044043 (2012)
Gursel, H., Sakalli, I.: Can. J. Phys. doi:10.1139/cjp-2015-0495 (2015). arXiv:1506.00390
Chen, G., Huang, Y.: Int. J. Mod. Phys. A 30, 1550083 (2015)
Sampaio, M.O.P., Herdeiro, C., Wang, M.: Phys. Rev. D 90, 064004 (2014)
Vuille, C., Ipser, J., Gallagher, J.: Gen. Relativ. Gravit. 34, 689 (2002)
Kruskal, M.: Phys. Rev. D 119, 1743 (1960)
Szekeres, G.: Math. Debr. 7, 285 (1960)
Lemaitre, G.: Annales de la Société Scientifique de Bruxelles A 53, 51 (1933)
Doran, R., Lobo, F.S.N., Crawford, P.: Found. Phys. 38, 160 (2008)
Ding, C., Wang, M., Jing, J.: Phys. Lett. B 676, 99 (2009)
Shankaranarayanan, S., Padmanabhan, T., Srinivasan, K.: Class. Quantum Gravity 19, 2671 (2002)
Mu, B., Wang, P., Yang, H.: Adv. High Energy Phys. 2015, 898916 (2015)
Majumder, B.: Gen. Relativ. Gravit. 45, 2403 (2013)
Nozari, K., Pedram, P., Molkara, M.: Int. J. Theor. Phys. 51, 1268 (2012)
Dehghani, M.: Astrophys. Space Sci. 357, 169 (2015)
Tawfik, A.N., Diab, A.M.: Int. J. Mod. Phys. D 23, 1430025 (2014)
Chen, D., Wu, H., Yang, H., Yang, S.: Int. J. Mod. Phys. A 29, 1430054 (2014)
Myung, Y.S., Kim, Y., Park, Y.: Phys. Lett. B 645, 393 (2007)
Scardigli, F.: Phys. Lett. B 452, 39 (1999)
Ali, A.F., Nafie, H., Shalaby, M.: EPL 100, 20004 (2012)
Hossenfelder, S.: Living Rev. Relativ. 16, 2 (2013)
Kempf, A., Mangano, G., Mann, R.B.: Phys. Rev. D 52, 1108 (1995)
Hossenfelder, S., Bleicher, M., Hofmann, S., Ruppert, J., Scherer, S., Stöcker, H.: Phys. Lett. B 575, 85 (2003)
Acknowledgments
The authors are grateful to the editor and anonymous referees for their valuable comments and suggestions to improve the paper.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Sakalli, I., Övgün, A. Quantum tunneling of massive spin-1 particles from non-stationary metrics. Gen Relativ Gravit 48, 1 (2016). https://doi.org/10.1007/s10714-015-1997-y
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10714-015-1997-y