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

Journal Article · Thu Feb 15 04:00:00 EST 2018 · Annals of Physics

DOI:https://doi.org/10.1016/J.AOP.2017.12.016· OSTI ID:22852220

Xu, Jiayi; Jing, Jiliang ^[1]

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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)

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.

• OSTI ID: 22852220
• Journal Information: Annals of Physics, Journal Name: Annals of Physics Vol. 389; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTRONOMY AND ASTROPHYSICS
BLACK HOLES
DISTURBANCES
GRAVITATION
SPACE-TIME
SPECTRA