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Geroch Group Description of Black Holes

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arxiv 1408.0875 v3 pith:PUUNSRRN submitted 2014-08-05 hep-th gr-qc

Geroch Group Description of Black Holes

Bidisha Chakrabarty , Amitabh Virmani This is my paper
classification hep-th gr-qc
keywords blackgerochgroupmatricesholesallowsclassconfigurations
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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On one hand the Geroch group allows one to associate spacetime independent matrices with gravitational configurations that effectively only depend on two coordinates. This class includes stationary axisymmetric four- and five-dimensional black holes. On the other hand, a recently developed inverse scattering method allows one to factorize these matrices to explicitly construct the corresponding spacetime configurations. In this work we demonstrate the construction as well as the factorization of Geroch group matrices for a wide class of black hole examples. In particular, we obtain the Geroch group SL(3,R) matrices for the five-dimensional Myers-Perry and Kaluza-Klein black holes and the Geroch group SU(2,1) matrix for the four-dimensional Kerr-Newman black hole. We also present certain non-trivial relations between the Geroch group matrices and charge matrices for these black holes.

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Cited by 2 Pith papers

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  2. Monodromy-Matrix Description of Extremal Multi-centered Black Holes

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