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Axial gravitational quasinormal modes of a self-dual black hole in loop quantum gravity

Sen YangKey Laboratory for Quantum Theory and Applications of the Ministry of Education, Lanzhou Center for Theoretical Physics, Lanzhou University, Lanzhou 730000, China; Key Laboratory of Theoretical Physics of Gansu Province, Institute of Theoretical Physics & Research Center of Gravitation, Lanzhou University, Lanzhou 730000, China and School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, ChinaWen-Di GuoKey Laboratory for Quantum Theory and Applications of the Ministry of Education, Lanzhou Center for Theoretical Physics, Lanzhou University, Lanzhou 730000, China; Key Laboratory of Theoretical Physics of Gansu Province, Institute of Theoretical Physics & Research Center of Gravitation, Lanzhou University, Lanzhou 730000, China and School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, ChinaQin TanKey Laboratory for Quantum Theory and Applications of the Ministry of Education, Lanzhou Center for Theoretical Physics, Lanzhou University, Lanzhou 730000, China; Key Laboratory of Theoretical Physics of Gansu Province, Institute of Theoretical Physics & Research Center of Gravitation, Lanzhou University, Lanzhou 730000, China and School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, ChinaYu-Xiao LiuKey Laboratory for Quantum Theory and Applications of the Ministry of Education, Lanzhou Center for Theoretical Physics, Lanzhou University, Lanzhou 730000, China; Key Laboratory of Theoretical Physics of Gansu Province, Institute of Theoretical Physics & Research Center of Gravitation, Lanzhou University, Lanzhou 730000, China and School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China

2023en

ABI

Annotatsiya

We study the axial gravitational quasinormal modes of a self-dual black hole in loop quantum gravity. Considering the axial perturbation of the background spacetime, we obtain the Schr\"odinger-like master equation. Then we calculate the quasinormal frequencies with the Wentzel-Kramers-Brillouin approximation and the asymptotic iteration method. We also investigate the numerical evolution of an initial wave packet on the self-dual black hole spacetime. We find the quantum correction parameter $P$ positively affects the absolute values of both the real and imaginary parts of quasinormal frequencies. We derive the relation between the parameters of the circular null geodesics and quasinormal frequencies in the eikonal limit for the self-dual black hole, and numerically verify this relation.

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Identifikatorlar

DOI: 10.1103/physrevd.108.024055

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