Late-Time Evolution of Charged Gravitational Collapse and Decay of Charged Scalar Hair - III. Nonlinear Analysis

TL;DR

This paper investigates the nonlinear evolution of charged scalar fields during gravitational collapse, confirming decay patterns and mass-inflation phenomena, and validating analytical predictions about charged hair decay rates.

Contribution

It provides the first nonlinear analysis confirming decay rates of charged scalar hair and the occurrence of mass-inflation in charged black holes, supporting previous analytical conjectures.

Findings

Oscillatory inverse power-law tails confirmed

Decay of charged hair is slower than neutral

Mass-inflation occurs along the Cauchy horizon

Abstract

We study the nonlinear gravitational collapse of a charged massless scalar-field. We confirm the existence of oscillatory inverse power-law tails along future timelike infinity, future null infinity and along the future outer-horizon. The nonlinear dumping exponents are in excellent agreement with the analytically predicted ones. Our results prove the analytic conjecture according to which a charged hair decays slower than a neutral one and also suggest the occurrence of mass-inflation along the Cauchy horizon of a dynamically formed charged black-hole.