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Extremal rotating black holes in Einstein-Maxwell theory feature two branches. On the branch emerging from the Myers-Perry solutions their angular momentum is proportional to their horizon area, while on the branch emerging from the…

General Relativity and Quantum Cosmology · Physics 2017-09-28 Jose Luis Blazquez-Salcedo , Jutta Kunz , Francisco Navarro-Lerida

We study the existence of analogue nonstationary spherically symmetric black holes. The prime example is the acoustic model (cf. [V], [U]). We consider also a more general class of metrics that could be useful in other physical models of…

Mathematical Physics · Physics 2015-06-16 Gregory Eskin

We present simple, analytic solutions to the Einstein-Maxwell equation, which describe an arbitrary number of charged black holes in a spacetime with positive cosmological constant $\Lambda$. In the limit $\Lambda=0$, these solutions reduce…

High Energy Physics - Theory · Physics 2009-10-22 David Kastor , Jennie Traschen

We introduce a two-parameter static, nonspherically-symmetric black hole solution in the Einstein theory of gravity coupled with a massless scalar field. The scalar field depends only on the polar coordinate $\theta$ in the spherical…

General Relativity and Quantum Cosmology · Physics 2025-02-21 S. Habib Mazharimousavi

We investigate the interior hyperbolic region of axisymmetric and stationary black holes surrounded by a matter distribution. First, we treat the corresponding initial value problem of the hyperbolic Einstein equations numerically in terms…

General Relativity and Quantum Cosmology · Physics 2011-10-04 Marcus Ansorg , Jörg Hennig

The known static electro-vacuum black holes in a globally AdS$_4$ background have an event horizon which is geometrically a round sphere. In this work we argue that the situation is different in models with matter fields possessing an…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Olga Kichakova , Jutta Kunz , Eugen Radu , Yasha Shnir

We show that the area-angular momentum-charge inequality (A/(4\pi))^2 \geq (2J)^2 + (Q_E^2 + Q_M^2)^2 holds for apparent horizons of electrically and magnetically charged rotating black holes in generic dynamical and non-vacuum spacetimes.…

General Relativity and Quantum Cosmology · Physics 2015-06-03 María E. Gabach Clément , José Luis Jaramillo

We consider globally regular and black holes solutions for the Einstein-Yang-Mills system with negative cosmological constant in $d-$spacetime dimensions. We find that the ADM mass of the spherically symmetric solutions generically diverges…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Eugen Radu , D. H. Tchrakian

The general analysis of the relations between masses and angular momenta in the configurations composed of two balancing extremal Kerr particles is made on the basis of two exact solutions arising as extreme limits of the well-known…

General Relativity and Quantum Cosmology · Physics 2015-03-17 I. Cabrera-Munguia , V. S. Manko , E. Ruiz

The Einstein/Maxwell equations reduce in the stationary and axially symmetric case to a harmonic map with prescribed singularities phi: R^3\Sigma -> H^2_C, where Sigma is a subset of the axis of symmetry, and H^2_C is the complex hyperbolic…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Gilbert Weinstein

Stationary axisymmetric systems of two extreme Kerr sources separated by a massless strut, which arise as subfamilies of the well-known Kinnersley-Chitre solution, are studied. We present explicit analytical formulas for the individual…

General Relativity and Quantum Cosmology · Physics 2015-05-28 V. S. Manko , E. Ruiz , M. B. Sadovnikova

The existence of stationary solutions to the Einstein-Vlasov system which are axially symmetric and have non-zero total angular momentum is shown. This provides mathematical models for rotating, general relativistic and asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Håkan Andréasson , Markus Kunze , Gerhard Rein

We consider the properties of a static axially symmetric wormhole described by an exact solution of Einstein's field equations and investigate how we can distinguish such a hypothetical object from a black hole. To this aim, we explore the…

General Relativity and Quantum Cosmology · Physics 2021-09-09 Bakhtiyor Narzilloev , Daniele Malafarina , Ahmadjon Abdujabbarov , Bobomurat Ahmedo , Cosimo Bambi

Highly accurate numerical solutions to the problem of Black Holes surrounded by uniformly rotating rings in axially symmetric, stationary spacetimes are presented. The numerical methods developed to handle the problem are discussed in some…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Marcus Ansorg , David Petroff

In an effort to understand the Penrose inequality for black holes with angular momentum, an axisymmetric, vacuum, asymptotically Euclidean initial data set subject to certain quasi-stationary conditions is considered for a case study. A new…

General Relativity and Quantum Cosmology · Physics 2025-03-17 Xuefeng Feng , Ruodi Yan , Sijie Gao , Yun-Kau Lau , Shing-Tung Yau

We numerically investigate the dynamics near black hole formation of solutions to the Einstein--Vlasov system in axisymmetry. Our results are obtained using a particle-in-cell and finite difference code based on the $(2+1)+1$ formulation of…

General Relativity and Quantum Cosmology · Physics 2021-02-05 Ellery Ames , Håkan Andréasson , Oliver Rinne

We present a proof of the Riemannian Penrose inequality with charge in the context of asymptotically flat initial data sets for the Einstein-Maxwell equations, having possibly multiple black holes with no charged matter outside the horizon,…

General Relativity and Quantum Cosmology · Physics 2017-11-09 Marcus Khuri , Gilbert Weinstein , Sumio Yamada

We investigate various properties of extremal dyonic static black holes in Einstein-Maxwell-Dilaton-Axion theory. We obtain a simple first-order ordinary differential equation for the black hole mass in terms of its electric and magnetic…

High Energy Physics - Theory · Physics 2024-12-18 Sera Cremonini , Mirjam Cvetic , Christopher N Pope , Aritra Saha

We construct new black hole solutions in Einstein-Yang-Mills theory. They are static, axially symmetric and asymptotically flat. They are characterized by their horizon radius and a pair of integers (k,n), where k is related to the polar…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Rustam Ibadov , Burkhard Kleihaus , Jutta Kunz , Marion Wirschins

A universal inequality that bounds the angular momentum of a body by the square of its size is presented and heuristic physical arguments are given to support it. We prove a version of this inequality, as consequence of Einstein equations,…

General Relativity and Quantum Cosmology · Physics 2014-02-05 Sergio Dain