Freiburg 2008 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 14: Poster

GR 14.1: Poster

Monday, March 3, 2008, 08:00–20:00, Foyer KGI

Emission of massless spin-1/2 fermions by Kerr black holes — •Christian Röken, Ian Lerche, and Reinhard Schlickeiser — Institut für Theoretische Physik, Lehrstuhl IV: Weltraum und Astrophysik, Ruhr-Universität Bochum, Deutschland

Quantum theory predicts that a black hole is an emitter of various forms of radiation. Relativistic quantum theory anticipates that a Kerr black hole emits a spectrum of spin-1/2 fermions in its surrounding space-time region. As a consequence of this particle emission the black hole loses angular momentum and mass. Detection of the characteristic radiation can help to localize rotating, uncharged black holes.

Employing a dyadic Newman-Penrose spinor formalism on a Kerr manifold a generalized Dirac equation can, under the assumption of axial symmetry, be separated leading to two 1-dimensional wave equations for functions of the radial component and two differential equations for functions of the polar angle.

In this poster a new analytical approach is presented to solve the derived wave equations. Using an asymptotic substitution approach they can be transformed into Whittaker differential equations in an elementary way. Solutions are also obtained for the polar angle-dependent differential equations in the limits of small polar angles and negligible particle masses (e.g. neutrinos), so that asymptotic expressions for the fluxes of the number of fermions, energy and angular momentum in a solid angle element can be derived.