Late time tails of the massive vector field in a black hole background

dc.creatorKonoplya, R. A.
dc.creatorMolina, C.
dc.creatorZhidenko, A.
dc.date2006-02-13
dc.date2007-02-06
dc.date.accessioned2026-07-07T10:28:15Z
dc.date.available2026-07-07T10:28:15Z
dc.descriptionWe investigate the late-time behavior of the massive vector field in the background of the Schwarzschild and Schwarzschild-de Sitter black holes. For Schwarzschild black hole, at intermediately late times the massive vector field is represented by three functions with different decay law $Ψ_{0} \sim t^{-(\ell + 3/2)} \sin{m t}$, $Ψ_{1} \sim t^{-(\ell + 5/2)} \sin{m t}$, $Ψ_{2} \sim t^{-(\ell + 1/2)} \sin{m t}$, while at asymptotically late times the decay law $Ψ\sim t^{-5/6} \sin{(m t)}$ is universal, and does not depend on the multipole number $\ell$. Together with previous study of massive scalar and Dirac fields where the same asymptotically late-time decay law was found, it means, that the asymptotically late-time decay law $\sim t^{-5/6} \sin{(m t)}$ \emph{does not depend} also \emph{on the spin} of the field under consideration. For Schwarzschild-de Sitter black holes it is observed two different regimes in the late-time decay of perturbations: non-oscillatory exponential damping for small values of $m$ and oscillatory quasinormal mode decay for high enough $m$. Numerical and analytical results are found for these quasinormal frequencies.
dc.descriptionone author and new material are added
dc.identifierhttps://arxiv.org/abs/gr-qc/0602047
dc.identifierhttp://arxiv.org/abs/gr-qc/0602047
dc.identifierPhys.Rev.D75:084004,2007
dc.identifierdoi:10.1103/PhysRevD.75.084004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/177382
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleLate time tails of the massive vector field in a black hole background
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