Emission of fermions from BTZ black holes

Abstract

The emission rate of fermions from 2+1 dimensional BTZ black holes is shown to have a form which can be reproduced from a conformal field theory at finite temperature. The rate obtained for fermions is identical to the rate of non-minimally coupled fermions emitted from a five dimensional black hole, whose near horizon geometry is BT Z × M , where M is a compact manifold.

Electromagnetic quasinormal modes of D-dimensional black holes

“…Furthermore, instead of the boundary condition (ii) used in previous section, we may impose: the flux of the field is zero at spatial infinity [24], [25]. Do we get different results for the AdS normal frequencies?…”

“…Furthermore, in [22] is claimed that the gap is equal to 1/L; but we can deduce from its Eqs. (19), (25), and (37) that in the limit n → ∞ the gap is equal to 1/L for even D while it is equal to 2/L for odd D. Hence, Eqs. (42) and (43) yield the correct gap only for even D.…”

“…The boundary conditions at infinity can be different [24], [25], however we use (ii) because the energy of the perturbations is conserved [20]. The numerical results for the asymptotic QN 10 According to Ref.…”

Noncommutative duality and fermionic quasinormal modes of the BTZ black hole

“…The Dirac operator γ a ∇ a on a curved space is introduced in terms of tetrads (dreibeins) e a µ and their inverse e In what follows we use the setting defined in [42]. This setting consists of the dreibein frame chosen to be and the following representation of gamma matrices…”

Quasinormal modes in pure de Sitter spacetimes

“…The fermion perturbation in a BTZ background was studied in [7,20,21]. We are interested to generalize the investigation of the fermion perturbation in a pure dS space.…”