Late-Time Tails in Gravitational Collapse of a Self-Interacting (Massive) Scalar-field and Decay of a Self-Interacting Scalar Hair

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  • 20 January 1998
Abstract
We study analytically the initial value problem for a self-interacting (massive) scalar-field on a Reissner-Nordstr\"om spacetime. Following the no-hair theorem we examine the dynamical physical mechanism by which the self-interacting (SI) hair decays. We show that in a finite regime in the parameter space the SI perturbations decay according to an oscillatory inverse power-law at future timelike infinity and along the future outer horizon. We find that a SI hair decays slower than a massless neutral one. We confirm our analytical results by numerical simulations.

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