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arXiv · 2005.02208

Polar gravitational perturbations and quasinormal modes of a loop quantum gravity black hole

M. B. Cruz·F. A. Brito·C. A. S. Silva
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Abstract

In this work, we have calculated the polar gravitational quasinormal modes for a quantum corrected black hole model, that arises in the context of Loop Quantum Gravity, known as Self-Dual Black Hole. In this way, we have calculated the characteristic frequencies using the WKB approach, where we can verify a strong dependence with the Loop Quantum Gravity parameters. At the same time we check that the Self-Dual Black Hole is stable under polar gravitational perturbations, we can also verify that the spectrum of the polar quasinormal modes differs from the axial one \cite{Cruz:2015bcj}. Such a result tells us that isospectrality is broken in the context of Self Dual Black Holes.

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M. B. Cruz, F. A. Brito, C. A. S. Silva. 2020-05-04. Polar gravitational perturbations and quasinormal modes of a loop quantum gravity black hole. https://doi.org/10.1103/physrevd.102.044063

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