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Related papers: A Riemann-Hilbert approach to rotating attractors

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We look for possible nonsupersymmetric black hole attractor solutions for type II compactification on (the mirror of) CY_3(2,128) expressed as a degree-12 hypersurface in WCP^4[1,1,2,2,6]. In the process, (a) for points away from the…

High Energy Physics - Theory · Physics 2008-11-26 Payal Kaura , Aalok Misra

Applying the large $D$ approach to the Einstein-Gauss-Bonnet theory, we construct equally rotating black hole solutions in odd dimensions. This provides the first example of the analytic solutions which describes not-slowly rotating black…

High Energy Physics - Theory · Physics 2022-07-27 Ryotaku Suzuki , Shinya Tomizawa

A central problem in General Relativity is obtaining a solution to describe the source's interior counterpart for Kerr black hole. Besides, determining a method to match the interior and exterior solutions through a surface free of…

General Relativity and Quantum Cosmology · Physics 2021-12-08 A. C. Gutiérrez-Piñeres , N. Hernández , C. S. Lopez-Monsalvo

This is a brief report on time-domain numerical simulations of extreme-mass-ratio binaries based on finite element methods. We discuss a new technique for solving the perturbative equations describing a point-like object orbiting a…

Astrophysics · Physics 2009-11-11 Carlos F. Sopuerta

We investigate the use of a Hamiltonian Monte Carlo to map out the posterior density function for supermassive black hole binaries. While previous Markov Chain Monte Carlo (MCMC) methods, such as Metropolis-Hastings MCMC, have been…

General Relativity and Quantum Cosmology · Physics 2019-08-19 Edward K. Porter , Jérôme Carré

In this article, we set up a method of reconstructing to polylogarithms $\mathrm{Li}_k(z)$ from zeta values $\zeta(k)$ via the Riemann-Hilbert problem. This is referred to as "a recursive Riemann-Hilbert problem of additive type." Moreover,…

Quantum Algebra · Mathematics 2013-01-23 Shu Oi , Kimio Ueno

This paper presents a new metric and studies slowly rotating Gauss-Bonnet black holes with one nonvanishing angular momentum in five dimensional anti-de Sitter spaces. Taking the angular momentum parameter $a$ up to second order, the slowly…

General Relativity and Quantum Cosmology · Physics 2011-10-04 Rui-Hong Yue , De-Cheng Zou , Tian-Yi Yu , Zhan-Ying Yang

We present approximate analytical solutions to the Hamiltonian and momentum constraint equations, corresponding to systems composed of two black holes with arbitrary linear and angular momentum. The analytical nature of these initial data…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Pedro Marronetti

We consider the Maxwell-Bloch system which is a finite-dimensional approximation of the coupled nonlinear Maxwell-Schr\"odinger equations. The approximation consists of one-mode Maxwell field coupled to two-level molecule. We construct…

Mathematical Physics · Physics 2025-12-15 Alexander Komech

We consider rotating wormhole solutions in general relativity supported by a complex non-phantom spinor field (which provides a nontrivial spacetime topology) and electromagnetic fields. The solutions are asymmetric, regular, asymptotically…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Vladimir Dzhunushaliev , Vladimir Folomeev

The paradigm in which magnetic fields play a crucial role in launching/collimating outflows in many astrophysical objects continues to gain support. However, semi-analytical models including the effect of magnetic fields on the dynamics and…

High Energy Astrophysical Phenomena · Physics 2017-12-13 Chiara Ceccobello , Yuri Cavecchi , Martin H. M. Heemskerk , Sera Markoff , Peter Polko , David L. Meier

We study the entropy of non-supersymmetric extremal black holes which exhibit attractor mechanism by making use of the entropy function. This method, being simple, can be used to calculate corrections to the entropy due to higher order…

High Energy Physics - Theory · Physics 2009-11-11 Mohsen Alishahiha , Hajar Ebrahim

We present a three-parameter family of analytic black-hole solutions in the bosonic sector of a four-dimensional supersymmetric model with matter fields in the adjoint representation. The solutions are endowed with curvature and torsional…

High Energy Physics - Theory · Physics 2023-01-09 Pedro D. Alvarez , Cristóbal Corral , Jorge Zanelli

In this paper we obtain the entropy of the Kerr black hole for a number of modified theories of gravity. We show that as long as the deviation from Einstein Hilbert term consists purely of terms involving scalar curvature and Ricci tensor,…

General Relativity and Quantum Cosmology · Physics 2017-05-09 Spyridon Talaganis , Ali Teimouri

We have discovered a new type of scalarized charged black holes in a surprisingly simple system: an Einstein-Maxwell-Klein-Gordon field theory where the three fields couple non-minimally through a Horndeski vector-tensor term. In addition…

General Relativity and Quantum Cosmology · Physics 2021-01-04 Y. Brihaye , Y. Verbin

We investigate a new model of nonlinear electromagnetic field coupled with the gravitation field. The black hole solution is obtained possessing the asymptotic Reissner-Nordstr\"om solution. The electric field has the finite value at the…

General Physics · Physics 2015-04-16 S. I. Kruglov

In this paper we present a general scheme to generate constructive solutions to the Riemann--Hilbert problem via middle convolution and illustrate this approach for a Fuchsian system with four singular points.

Classical Analysis and ODEs · Mathematics 2015-11-03 Yulia Bibilo , Galina Filipuk

In the context of $f(R)$ gravity theories, the issue of finding static and spherically symmetric black hole solutions is addressed. Two approaches to study the existence of such solutions are considered: first, constant curvature solutions,…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Alvaro de la Cruz-Dombriz , Antonio Dobado , Antonio L. Maroto

We utilize generalized unitarity and recursion relations combined with effective field theory(EFT) techniques to compute spin dependent interaction terms for inspiralling binary systems in the post newtonian(PN) approximation. Using these…

High Energy Physics - Theory · Physics 2015-06-23 Varun Vaidya

In this Letter, we have developed a numerically efficient framework for evaluating parameters in metric theories of gravity, and applied it to constrain the horizon-scale magnetic field in the Kerr-Bertotti-Robinson (Kerr-BR) spacetime…

General Relativity and Quantum Cosmology · Physics 2026-05-26 Wentao Liu , Yang Liu , Di Wu , Yu-Xiao Liu