Constructs multi-center extremal black hole solutions in Bertotti-Robinson spacetime via monodromy-matrix factorization, producing Majumdar-Papapetrou-type metrics with AdS2 × S2 near-horizons and BR asymptotics.
Geroch Group Description of Black Holes
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abstract
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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hep-th 2years
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The authors derive explicit monodromy matrices for Bena-Warner BPS solutions and almost-BPS configurations including two-center black rings, factorize them via nilpotent elements of so(4,4), and construct an SO(4,4) duality relating branches of the Rasheed-Larsen solution.
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Multi--black holes in Bertotti--Robinson spacetime
Constructs multi-center extremal black hole solutions in Bertotti-Robinson spacetime via monodromy-matrix factorization, producing Majumdar-Papapetrou-type metrics with AdS2 × S2 near-horizons and BR asymptotics.
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Monodromy-Matrix Description of Extremal Multi-centered Black Holes
The authors derive explicit monodromy matrices for Bena-Warner BPS solutions and almost-BPS configurations including two-center black rings, factorize them via nilpotent elements of so(4,4), and construct an SO(4,4) duality relating branches of the Rasheed-Larsen solution.