Late-time tail of a coupled scalar field in the background of a black hole with a global monopole

Abstract

Using the technique of spectral decomposition, we investigated the late-time tails of massless and massive coupled scalar fields in the background of a black hole with a global monopole. We found that due to existence of the coupling between the scalar and gravitational fields, the massless scalar field decay faster at timelike infinity $i_{+}$, and so does the massive one in the intermediate late time. But the asymptotically late-time tail for the massive scalar field is not affected and its decay rate still is $t^{-5/6}$.

12 pages, A corrected version to be appeared in MPLA

References in corpus (7)

• Late-time behavior of massive Dirac fields in a Schwarzschild background
• Universality of massive scalar field late-time tails in black-hole spacetimes
• Late-Time Tails of Wave Propagation in Higher Dimensional Spacetimes
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• Holographic superconductors in the AdS black hole spacetime with a global monopole
• Dynamical evolution of a scalar field coupling to Einstein's tensor in the Reissner-Nordström black hole spacetime
• Gravitational field of a slowly rotating black hole with phantom global monopole
• Dynamical evolution of the electromagnetic perturbation with Weyl corrections
• Maxwell quasinormal modes on a global monopole Schwarzschild-anti-de Sitter black hole with Robin boundary conditions
• Dirac quasinormal modes of power-Maxwell charged black holes in Rastall gravity
• Late-time evolution of Dirac field around Schwarzschild-quintessence black hole
• Qusinormal oscillations and late-time tail of massless scalar perturbations of a magnetized black hole in Rastall gravity
• Dynamical evolution of phantom scalar perturbation in the background of Schwarzschild black String spacetime
• Effects of global monopole on critical behaviors and microstructure of charged AdS black holes
• Nonlinear tails of massive scalar fields around a black hole