Journal
INTERNATIONAL JOURNAL OF MODERN PHYSICS D
Volume 21, Issue 13, Pages -Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218271812500927
Keywords
Classical stability; Dirac field; higher-dimensional black holes
Categories
Funding
- CONACYT Mexico
- SNI Mexico
- EDI-IPN
- COFAA-IPN
- [SIP-20120773]
- [SIP-20121648]
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In a D-dimensional maximally symmetric spacetime we simplify the massless Dirac equation to two decoupled wavelike equations with effective potentials. Furthermore in D-dimensional Schwarzschild and Schwarzschild de Sitter (SdS) black holes we note that for the massless Dirac field moving in the region exterior to the event horizon at least one of the effective potentials is not positive definite. Therefore the classical stability of these black holes against this field is not guaranteed. Here with the help of the S-deformation method, we state their classical stability against the massless Dirac field, extend these results to maximally symmetric black holes and comment on the applicability of our results to establish the stability with respect to other classical fields.
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