Explicit formula and meromorphic extension of the resolvent for the massive Dirac operator in the Schwarzschild-anti-de Sitter spacetime

Idelon-Riton, Guillaume (2017) Explicit formula and meromorphic extension of the resolvent for the massive Dirac operator in the Schwarzschild-anti-de Sitter spacetime. JOURNAL OF MATHEMATICAL PHYSICS, 58 (12): 121503. ISSN 0022-2488, 1089-7658

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Abstract

We study the resolvent of the massive Dirac operator in the Schwarzschild-anti-de Sitter space-time. After separation of variables, we use standard one-dimensional techniques to obtain an explicit formula. We then make use of this formula to extend the resolvent meromorphically across the real axis. Published by AIP Publishing.

Item Type: Article
Uncontrolled Keywords: QUASI-NORMAL MODES; GAUGED EXTENDED SUPERGRAVITY; ADS BLACK-HOLES; WAVE-EQUATION; ENERGY DECAY; RESONANCES; STABILITY; SYSTEM;
Subjects: 500 Science > 510 Mathematics
500 Science > 530 Physics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 14 Dec 2018 13:19
Last Modified: 27 Feb 2019 10:40
URI: https://pred.uni-regensburg.de/id/eprint/1737

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