Late-time tails in extremal Reissner-Nordstrom spacetime

2013/05/07 by Amos Ori, Ori, Amos · 1 citation
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.1305.1564

4 pages

arxiv created 2013/05/07 · arxiv updated 2013/05/08

Abstract

This note discusses the late-time decay of perturbations outside extremal Reissner-Nordstrom black hole. We consider individual spherical-harmonic modes l of massless scalar field. The initial data are assumed to be of compact support, with generic regular behavior across the horizon. The scalar perturbations are found to decay at late time as t^-(2l+2). We also provide the spatial dependence of the late-time tails, including the exact overall pre-factor.

Cited by

• Generalized Couch--Torrence inversions

Related

• On the late-time tails of massive perturbations in spherically symmetric black holes
• Linear and nonlinear late-time tails on dynamical black hole spacetimes via time integrals
• Some Cosmological Tails of Collapse
• Late-time tails and mode coupling of linear waves on Kerr spacetimes
• Polynomial time decay for solutions of the Klein--Gordon equation on a subextremal Reissner--Nordström black hole