Geodesic
Hawking radiation of relativistic particles from black strings
Teoretičeskaâ i matematičeskaâ fizika, Tome 198 (2019) no. 3, pp. 523-531

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We study Hawking radiation of relativistic particles from uncharged and charged black strings in $3+1$ dimensions in detail. We use the method of quantum tunneling in the framework of the Hamilton–Jacobi approach. We show that the radial function of the action allows calculating the tunneling rate of the emitted relativistic particles. Using the Boltzmann formula, we derive the Hawking temperatures of uncharged and charged black strings. We discuss the influence of the temporal contribution to the tunneling rate.
Keywords: Hawking radiation, Hamilton–Jacobi method, quantum tunneling. 
@article{TMF_2019_198_3_a7,
     author = {S. F. Mirekhtiary and I. Sakalli},
     title = {Hawking radiation of relativistic particles from black strings},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {523--531},
     publisher = {mathdoc},
     volume = {198},
     number = {3},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2019_198_3_a7/}
}
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S. F. Mirekhtiary; I. Sakalli. Hawking radiation of relativistic particles from black strings. Teoretičeskaâ i matematičeskaâ fizika, Tome 198 (2019) no. 3, pp. 523-531. http://geodesic.mathdoc.fr/item/TMF_2019_198_3_a7/