Late-Time Evolution of Charged Gravitational Collapse and Decay of Charged Scalar Hair - I

Preprint

9 December 1997

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9712041

Abstract

We study analytically the asymptotic evolution of charged fields around a Reissner-Nordstr\"om black-hole. Following the no-hair theorem we focus attention on the dynamical mechanism by which the charged hair is radiated away. We find an inverse power-law relaxation of the charged fields at future timelike infinity, along future null infinity and an oscillatory inverse power-law relaxation along the future outer horizon. We show that a charged hair is shedd slower than a neutral one. Our results are also of importance to the study of mass inflation and the stability of Cauchy horizons during a dynamical gravitational collapse of charged matter to form a charged black-hole

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Version 1, 1997-12-09, ArXiv
Published version: Physical Review D, 58 (2), 024017.

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