Transmission and reflection coefficients for a scalar field inside a charged black hole

TL;DR

This paper computes the leading-order transmission and reflection coefficients for a massless scalar field inside a charged black hole using late-time expansion, confirming previous results with an alternative method.

Contribution

It introduces a novel calculation approach for scalar field coefficients inside Reissner-Nordstrom black holes, validating earlier findings.

Findings

Reflection and transmission coefficients derived

Results agree with previous studies

Method confirms scalar field behavior inside charged black holes

Abstract

Using the late-time expansion we calculate the leading-order coefficients describing the evolution of a massless scalar field inside a Reissner-Nordstrom black hole. These coefficients may be interpreted as the reflection and transmission coefficients for scalar-field modes propagating from the event horizon to the Cauchy horizon. Our results agree with those obtained previously by Gursel et al by a different method.