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Related papers: A Riemann-Hilbert approach to rotating attractors

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Extending the single-angular-momentum case analyzed in our previous work, we investigate the solution-generating technique based on the Breitenlohner-Maison (BM) linear system for asymptotically flat, stationary, bi-axisymmetric black hole…

High Energy Physics - Theory · Physics 2025-11-18 Jun-ichi Sakamoto , Shinya Tomizawa

We consider the Riemann-Hilbert factorization approach to solving the field equations of dimensionally reduced gravity theories. First we prove that functions belonging to a certain class possess a canonical factorization due to properties…

High Energy Physics - Theory · Physics 2018-04-04 G. L. Cardoso , J. C. Serra

Explicit solutions to the non-linear field equations of some gravitational theories can be obtained, by means of a Riemann-Hilbert approach, from a canonical Wiener-Hopf factorisation of certain matrix functions called monodromy matrices.…

Mathematical Physics · Physics 2024-07-31 M. Cristina Câmara , Gabriel Lopes Cardoso

We investigate the solution-generating technique based on the Breitenlohner-Maison (BM) linear system, for asymptotically flat, stationary, bi-axisymmetric black hole solutions with various horizon topologies in five-dimensional vacuum…

High Energy Physics - Theory · Physics 2025-10-03 Jun-ichi Sakamoto , Shinya Tomizawa

By viewing Einstein's field equations -- reduced to two dimensions -- as an integrable system, one can simultaneously obtain exact solutions to both the equations themselves and their associated Lax pair via a canonical Wiener-Hopf…

Mathematical Physics · Physics 2026-05-08 M. Cristina Câmara , Gabriel Lopes Cardoso

We study extremal black hole solutions of D=5 Gauss-Bonnet gravity coupled to a system of gauge and scalar fields. As in Einstein gravity, we find that the values of the scalar fields on the horizon must extremize a certain effective…

High Energy Physics - Theory · Physics 2009-04-30 Mohamed M. Anber , David Kastor

We construct a recently found class of non-BPS black hole solutions with asymptotically $AdS_3\times S^3\times T^4$ in type IIB supergravity, consisting of multiple BTZ black holes localized on an $S^3$, within the group theoretical…

High Energy Physics - Theory · Physics 2025-06-25 Jun-ichi Sakamoto , Shinya Tomizawa

We study attractor mechanism in extremal black holes of Einstein-Born-Infeld theories in four dimensions. We look for solutions which are regular near the horizon and show that they exist and enjoy the attractor behavior. The attractor…

High Energy Physics - Theory · Physics 2008-11-26 B. Chandrasekhar , H. Yavartanoo , S. Yun

We present a solution for rotating black holes in massive gravity. We first give a solution of massive gravity with one dynamical metric. Both metrics of this solution are expressed in the advanced Eddington-Finkelstein-like coordinates:…

General Relativity and Quantum Cosmology · Physics 2014-11-07 Eugeny Babichev , Alessandro Fabbri

We investigate the attractor mechanism of five-dimensional extremal rotating black holes in Einstein gravity minimally coupled with a multiplet complex scalar. By imposing regularity on the horizon, we show that the only possible attractor…

High Energy Physics - Theory · Physics 2023-06-13 Norihiro Iizuka , Akihiro Ishibashi , Kengo Maeda

We study the attractor mechanism for N=1 supergravity coupled to vector and chiral multiplets and compute the attractor equations of these theories. These equations may have solutions depending on the choice of the holomorphic symmetric…

High Energy Physics - Theory · Physics 2008-11-26 Laura Andrianopoli , Riccardo D'Auria , Sergio Ferrara , Mario Trigiante

We study solution-generating techniques based on the Breitenlohner--Maison linear system for extremal, stationary biaxisymmetric black hole solutions in five-dimensional $U(1)^3$ supergravity. Focusing on multi-center configurations over a…

High Energy Physics - Theory · Physics 2026-04-08 Jun-ichi Sakamoto , Shinya Tomizawa

We present new, exact, rotating and accelerating solutions within the framework of five-dimensional Einstein-Gauss-Bonnet theory at the Chern-Simons point. The rotating solutions describe black holes characterized by a single rotation…

We review some aspects of the attractor mechanism for extremal black holes of (not necessarily supersymmetric) theories coupling Einstein gravity to scalars and Maxwell vector fields. Thence, we consider N=2 and N=8, d=4 supergravities,…

High Energy Physics - Theory · Physics 2008-11-26 S. Ferrara , A. Marrani

The Riemann-Hilbert approach, in conjunction with the canonical Wiener-Hopf factorisation of certain matrix functions called monodromy matrices, enables one to obtain explicit solutions to the non-linear field equations of some…

Mathematical Physics · Physics 2024-06-19 M. Cristina Câmara , Gabriel Lopes Cardoso

We find an exact, rotating charged black hole solution within Eddington-inspired Born-Infeld gravity. To this end we employ a recently developed correspondence or {\it mapping} between modified gravity models built as scalars out of…

General Relativity and Quantum Cosmology · Physics 2021-02-02 Merce Guerrero , Gerardo Mora-Pérez , Gonzalo J. Olmo , Emanuele Orazi , Diego Rubiera-Garcia

We obtain a family of exact solutions describing magnetized black holes in an external gravitational field. Locally the solutions can be interpreted as representing the near-horizon region of a black hole, which interacts with a surrounding…

General Relativity and Quantum Cosmology · Physics 2017-07-19 Jutta Kunz , Petya Nedkova , Stoytcho Yazadjiev

We review the construction of multi-centered black hole solutions through dimensional reduction over time. This method does not rely on Killing spinor equations or gradient flow equations, but on solving the second order field equations in…

High Energy Physics - Theory · Physics 2015-05-18 T Mohaupt , K Waite

Using on-shell amplitude methods, we derive a rotating black hole solution in a generic theory of Einstein gravity with additional terms cubic in the Riemann tensor. We give an explicit expression for the metric in Einsteinian Cubic Gravity…

High Energy Physics - Theory · Physics 2021-03-25 Daniel J. Burger , William T. Emond , Nathan Moynihan

We introduce a new attractor mechanism to find the entropy for spherically symmetric extremal black holes. The key ingredient is to find a two-dimensional (2D) dilaton gravity with the dilaton potential $V(\phi)$. The condition of an…

High Energy Physics - Theory · Physics 2008-11-26 Yun Soo Myung , Yong-Wan Kim , Young-Jai Park
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