Hawking radiation as quantum tunneling in Rindler coordinate

Abstract

We substantiate the Hawking radiation as quantum tunneling of fields or particles crossing the horizon by using the Rindler coordinate. The thermal spectrum detected by an accelerated particle is interpreted as quantum tunneling in the Rindler spacetime. Representing the spacetime near the horizon locally as a Rindler spacetime, we find the emission rate by tunneling, which is expressed as a contour integral and gives the correct Boltzmann factor. We apply the method to non-extremal black holes such as a Schwarzschild black hole, a non-extremal Reissner-Nordström black hole, a charged Kerr black hole, de Sitter space, and a Schwarzschild-anti de Sitter black hole.

Schwinger effect, Hawking radiation and gauge–gravity relation

“…However, for quantum fields in the non-extremal black hole, pair production occurs on the horizon, which becomes the Rindler space. 24,27 The particle production from charged black hole thus should include both the effects and will be addressed in a future publication.…”

Remarks on self-interaction correction to black hole radiation

“…In ref. [7], Parikh and Wilczek adopted the latter assumption to develop this method, and implemented Hawking radiation as a tunnelling process (later on, many papers appear to discuss Hawking radiation via tunnelling from different black holes [8][9][10][11][12][13][14]). In the two cases, we can reproduce the same results, and provide a correction to black hole radiation due to self-gravitation interaction.…”

Effects of quantum gravity on black holes

“…Extending this method to the general spacetimes, the tunneling radiation of the various spacetimes were discussed in Refs. [11,12,13,14,15,16,17,18,19,20,21,22,23,24].…”