Opérateur de type Dirac et trou noir BHTZ

Details

Supervisors

Bieliavsky, Pierre

Faculty

Faculté des sciences

Degree label

Master [120] en sciences mathématiques

Abstract

enThis thesis introduces a new Dirac type operator on the two dimensional anti-de Sitter space seen as a homogeneous space G/H. We prove that this operator is G-invariant and symmetric. A geometrical study of the BHTZ black hole is also presented in which we have corrected some issues of double covering from the existant literature. We also introduce a more readable way to write the horizon of the black hole.