IFIMAR   20926
INSTITUTO DE INVESTIGACIONES FISICAS DE MAR DEL PLATA
Unidad Ejecutora - UE
artículos
Título:
Analytical treatment of SUSY Quasi-normal modes in a non-rotating Schwarzschild black hole
Autor/es:
PABLO ALEJANDRO SÁNCHEZ; JESÚS MARTÍN ROMERO; MAURICIO BELLINI
Revista:
EUROPEAN PHYSICAL JOURNAL C - PARTICLES AND FIELDS
Editorial:
SPRINGER
Referencias:
Lugar: Berlin; Año: 2011 vol. 71 p. 1526 - 1526
ISSN:
1434-6044
Resumen:
We use the Fock?Ivanenko formalism to obtain the Dirac equation which describes the interaction of a massless 1/2-spin neutral fermion with a gravitational field around a Schwarzschild black hole (BH). We obtain approximated analytical solutions for the eigenvalues of the energy (quasi-normal frequencies) and their corresponding eigenstates (quasi-normal states). The interesting result is that all the asymptotic states [and their supersymmetric (SUSY) partners] have a purely imaginary frequency, which can be expressed in terms of the Hawking temperature T H: En()=−2inTH. Furthermore, as one expects for SUSY Hamiltonians, the isolated bottom state has a real null energy eigenvalue.
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