Supersymmetric quasi-normal modes in a non-rotating

J. ROMERO; P. SANCHEZ; M. BELLINI

La Plata

Congreso; INTERNATIONAL SCHOOL IN QUANTUM GRAVITY; 2010

UNLP

We use the Fock¨CIvanenko 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 TH: E (¡ü¡ý) n = −2¦ÐinTH. Furthermore, as one expects for SUSY Hamiltonians, the isolated bottom state has a real null energy eigenvalue/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 TH: E (¡ü¡ý) n = −2¦ÐinTH. Furthermore, as one expects for SUSY Hamiltonians, the isolated bottom state has a real null energy eigenvalueTH: E (¡ü¡ý) n = −2¦ÐinTH. Furthermore, as one expects for SUSY Hamiltonians, the isolated bottom state has a real null energy eigenvalue¡ü¡ý) n = −2¦ÐinTH. Furthermore, as one expects for SUSY Hamiltonians, the isolated bottom state has a real null energy eigenvalue= −2¦ÐinTH. Furthermore, as one expects for SUSY Hamiltonians, the isolated bottom state has a real null energy eigenvalue2¦ÐinTH. Furthermore, as one expects for SUSY Hamiltonians, the isolated bottom state has a real null energy eigenvalue