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Title: Dirac quasinormal modes and area spectrum of Hořava–Lifshitz black holes

Abstract

Highlights: • The Dirac quasinormal modes of Hořava–Lifshitz black holes are studied. • The QNMs are purely damped modes which means the spacetime is very stable. • Dirac perturbations decay more quickly for the larger size of the Hořava–Lifshitz black hole. • For the high overtone number modes, the QNMs frequencies are linear related to the Hawking temperature. • The area spacing of the Hořava–Lifshitz black hole supports Bekenstein’s conjecture. - Abstract: The Dirac quasinormal modes of Hořava–Lifshitz black holes are studied. We find that the QNMs are purely damped modes which means the spacetimes are very stable. For the fundamental frequencies, we note that the absolute value of the frequencies increases as the orbital angular moment l increases, which means that the Dirac perturbations decay quickly for the larger l modes. For the high overtone number modes, we show that the QNMs frequencies are linearly related to the Hawking temperature. Therefore, using Kunstatter’s approach we find that the area spacing of the Hořava–Lifshitz black hole is described by ΔA{sub min}=8πħ which supports Bekenstein’s conjecture.

Authors:
;  [1]
  1. Department of Physics, Key Laboratory of Low Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, Hunan, 410081 (China)
Publication Date:
OSTI Identifier:
22852220
Resource Type:
Journal Article
Journal Name:
Annals of Physics (New York)
Additional Journal Information:
Journal Volume: 389; Other Information: © 2018 Elsevier Inc. All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0003-4916
Country of Publication:
United States
Language:
English
Subject:
79 ASTROPHYSICS, COSMOLOGY AND ASTRONOMY; BLACK HOLES; DISTURBANCES; GRAVITATION; SPACE-TIME; SPECTRA

Citation Formats

Xu, Jiayi, and Jing, Jiliang. Dirac quasinormal modes and area spectrum of Hořava–Lifshitz black holes. United States: N. p., 2018. Web. doi:10.1016/J.AOP.2017.12.016.
Xu, Jiayi, & Jing, Jiliang. Dirac quasinormal modes and area spectrum of Hořava–Lifshitz black holes. United States. https://doi.org/10.1016/J.AOP.2017.12.016
Xu, Jiayi, and Jing, Jiliang. Thu . "Dirac quasinormal modes and area spectrum of Hořava–Lifshitz black holes". United States. https://doi.org/10.1016/J.AOP.2017.12.016.
@article{osti_22852220,
title = {Dirac quasinormal modes and area spectrum of Hořava–Lifshitz black holes},
author = {Xu, Jiayi and Jing, Jiliang},
abstractNote = {Highlights: • The Dirac quasinormal modes of Hořava–Lifshitz black holes are studied. • The QNMs are purely damped modes which means the spacetime is very stable. • Dirac perturbations decay more quickly for the larger size of the Hořava–Lifshitz black hole. • For the high overtone number modes, the QNMs frequencies are linear related to the Hawking temperature. • The area spacing of the Hořava–Lifshitz black hole supports Bekenstein’s conjecture. - Abstract: The Dirac quasinormal modes of Hořava–Lifshitz black holes are studied. We find that the QNMs are purely damped modes which means the spacetimes are very stable. For the fundamental frequencies, we note that the absolute value of the frequencies increases as the orbital angular moment l increases, which means that the Dirac perturbations decay quickly for the larger l modes. For the high overtone number modes, we show that the QNMs frequencies are linearly related to the Hawking temperature. Therefore, using Kunstatter’s approach we find that the area spacing of the Hořava–Lifshitz black hole is described by ΔA{sub min}=8πħ which supports Bekenstein’s conjecture.},
doi = {10.1016/J.AOP.2017.12.016},
url = {https://www.osti.gov/biblio/22852220}, journal = {Annals of Physics (New York)},
issn = {0003-4916},
number = ,
volume = 389,
place = {United States},
year = {2018},
month = {2}
}