Symmetries of the near horizon of a Black Hole by Group Theoretic methods

Details Symmetries of the near horizon of a Black Hole by Group Theoretic methods Symmetries of the near horizon of a Black Hole by Group Theoretic methods

2006-10-31

arxiv.org/abs/hep-th/0610330v1

Int.J.Mod.Phys.A22:1717-1726,2007

Physics

High Energy Physics

High Energy Physics - Theory

To appear in Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X07034489

We use group theoretic methods to obtain the extended Lie point symmetries of the quantum dynamics of a scalar particle probing the near horizon structure of a black hole. Symmetries of the classical equations of motion for a charged particle in the field of an inverse square potential and a monopole, in the presence of certain model magnetic fields and potentials are also studied. Our analysis gives the generators and Lie algebras generating the inherent symmetries.

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