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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), p. 121503.

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Other URL: http://doi.org/10.1063/1.5008947


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.


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Item type:Article
Date:2017
Institutions:Mathematics
Identification Number:
ValueType
10.1063/1.5008947DOI
Keywords:QUASI-NORMAL MODES; GAUGED EXTENDED SUPERGRAVITY; ADS BLACK-HOLES; WAVE-EQUATION; ENERGY DECAY; RESONANCES; STABILITY; SYSTEM;
Dewey Decimal Classification:500 Science > 510 Mathematics
500 Science > 530 Physics
Status:Published
Refereed:Yes, this version has been refereed
Created at the University of Regensburg:Yes
Item ID:39494
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