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

摘要

We study analytically the initial value problem for a self-interacting (massive) scalar-field on a Reissner-Nordström 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.