Quasinormal modes of a massive scalar field nonminimally coupled to gravity in the spacetime of Self-Dual Black Hole

Abstract

In this work, we investigate the quasinormal modes for a massive scalar field with a nonminimal coupling with gravity in the spacetime of a loop quantum black hole, known as the Self-Dual Black Hole. In this way, we have calculated the characteristic frequencies using the 3rd order WKB approach, where we can verify a strong dependence with the mass of scalar field, the parameter of nonminimal coupling with gravity, and parameters of the Loop Quantum Gravity. From our results, we can check that the Self-Dual Black Hole is stable under the scalar perturbations when assuming small values for the parameters. Also, such results tell us that the quasinormal modes assume different values for the cases where the mass of field is null and the nonminimal coupling assumes $\xi =0$ and $\xi =1/6$, i.e., a possible breaking of the conformal invariance can be seen in the context of loop quantum black holes.

15 pages, 2 tables and 8 figures. arXiv admin note: text overlap with arXiv:2005.02208

References in corpus (9)

• Inflation scenario via the Standard Model Higgs boson and LHC
• Higher order WKB formula for quasinormal modes and grey-body factors: recipes for quick and accurate calculations
• Are eikonal quasinormal modes linked to the unstable circular null geodesics?
• Non-minimally coupled canonical, phantom and quintom models of holographic dark energy
• From black holes to white holes: a quantum gravitational, symmetric bounce
• Self-dual Black Holes in LQG: Theory and Phenomenology
• Quasinormal frequencies for a black hole in a bumblebee gravity
• Quasinormal ringing of black holes in Einstein aether theory
• Polar gravitational perturbations and quasinormal modes of a loop quantum gravity black hole

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• Particle dynamics and the accretion disk around a Self-dual Black Hole immersed in a magnetic field in Loop Quantum Gravity
• Parameterized quasinormal frequencies and Hawking radiation for axial gravitational perturbations of a holonomy-corrected black hole