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

Source: [Symmetries of the near horizon of a Black Hole by Group Theoretic methods](<https://www.sota2.com/research/paper/68fa29a11e209131ce835844>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-24T12:59:31.782Z

Authors: K. Maharana

Published: 2006-10-31T16:48:33.000Z

## 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.

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/hep-th/0610330>)

[PDF](<https://arxiv.org/pdf/hep-th/0610330.pdf>)