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Conformal mechanics inspired by extremal black holes in d=4

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arxiv 1108.3394 v2 pith:OPTHXGQU submitted 2011-08-17 hep-th gr-qc

classification hep-thgr-qc
keywords blackconformalextremalmechanicsaction-angleangularapproachcanonical
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A canonical transformation which relates the model of a massive relativistic particle moving near the horizon of an extremal black hole in four dimensions and the conventional conformal mechanics is constructed in two different ways. The first approach makes use of the action-angle variables in the angular sector. The second scheme relies upon integrability of the system in the sense of Liouville.

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  1. Integrable systems connected with black holes

    hep-th 2019-08 conditional novelty 7.0 of 10

    The thesis derives explicit first integrals and Killing tensors for geodesics in near-horizon Myers-Perry black holes, introduces a B-memory formulation of gravitational memory, and constructs resonant spacetimes from...

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