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

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

1997-12-09

arxiv.org/abs/gr-qc/9712041v1

Phys.Rev. D58 (1998) 024017

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, latex, no figures

Scientific paper

10.1103/PhysRevD.58.024017

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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