Tunneling from the past horizon

TL;DR

This paper explores a theoretical tunneling process of a thin-shell from a Schwarzschild black hole's past horizon, suggesting conditions under which such tunneling could be enhanced and its implications for Einstein-Rosen bridges.

Contribution

It introduces a novel tunneling scenario from the past horizon and analyzes conditions for enhanced tunneling rates, impacting understanding of black hole and wormhole physics.

Findings

Tunneling rate can be exponentially enhanced under certain parameters.

Such tunneling may be improbable physically but possible in principle.

Implications for non-perturbative contributions to Einstein-Rosen bridges.

Abstract

We investigate a tunneling and emission process of a thin-shell from a Schwarzschild black hole, where the shell was initially located beyond the Einstein-Rosen bridge and finally appears at the right side of the Penrose diagram. In order to obtain such a solution, we should assume that the areal radius of the black hole horizon increases after the tunneling. Hence, there is a parameter range such that the tunneling rate is exponentially enhanced, rather than suppressed. We may have two interpretations regarding this. First, such a tunneling process from the past horizon is improbable by physical reasons; second, such a tunneling is possible in principle, but in order to obtain a stable Einstein-Rosen bridge, one needs to restrict the parameter spaces. If such a process is allowed, this can be a non-perturbative contribution to Einstein-Rosen bridges as well as eternal black holes.