Tunnelling from black holes and tunnelling into white holes

Abstract

Hawking radiation is nowadays being understood as tunnelling through black hole horizons. Here, the extension of the Hamilton-Jacobi approach to tunnelling for non-rotating and rotating black holes in different non-singular coordinate systems not only confirms this quantum emission from black holes but also reveals the new phenomenon of absorption into white holes by quantum mechanical tunnelling. The role of a boundary condition of total absorption or emission is also clarified.Comment: REVTeX, 6 pages; changed interpretation for white hole spacetimes; to appear in PL

Hawking radiation from dynamical horizons

“…Incidentally, this question has been investigated in a semiclassical approach which treats Hawking radiation as a quantum tunneling phenomenon [14]- [18]. The method involves calculating the imaginary part of the action for the (classically forbidden) process of s-wave emission, from inside and through the horizon (see [19] for more details).…”

“…Thus, it seems to be a reasonable physical expectation that even with a local definition of black hole horizon one should be able to establish the analogy to thermodynamics. More precisely, such horizons should have a temperature of κ/2π.Incidentally, this question has been investigated in a semiclassical approach which treats Hawking radiation as a quantum tunneling phenomenon [14]- [18]. The method involves calculating the imaginary part of the action for the (classically forbidden) process of s-wave emission, from inside and through the horizon (see [19] for more details).…”

Tunnelling methods and Hawking's radiation: achievements and prospects

“…The original tunnelling method can be generalised to a Hamilton-Jacobi variant, originated with the work of Padmanabhan and collaborators [25][26][27][28] and systematically applied either to stationary or dynamical black holes (see e.g. [12,[44][45][46][47][48][49] for a sample of papers). For dynamical black holes this was particularly important, since even approximate quantum calculations are notoriously hard.…”

The Hawking temperature in the context of dark energy for Reissner–Nordstrom and Kerr background

“…We use the tunneling method to calculate the Hawking temperature for (19) [44][45][46][47][48][49][50]. A massless particle in a black hole background is described by the Klein-Gordon equation,…”