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SYMMETRIES OF THE NEAR HORIZON OF A BLACKHOLE BY GROUP THEORETIC METHODS

K. MAHARANA

Physics Department, Utkal University, Bhubaneswar, 751004, India

https://doi.org/10.1142/S0217751X07034489Cited by:0 (Source: Crossref)

Abstract

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.

Keywords:

PACS: 03.65.-w, 03.65.Fd, 11.30.Na

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