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A rotating hairy black hole solution is found in gravity minimally coupled to a self-interacting real scalar field in three spacetime dimensions. Then we discuss analytically the horizon structure and find an analogue of the famous Kerr…

General Relativity and Quantum Cosmology · Physics 2014-06-30 Wei Xu , Liu Zhao , De-Cheng Zou

We present a (2+1)-dimensional gauged $O(3) \sigma$-model with an Abelian Chern--Simons term. It shows topologically stable, anyonic vortices as classical solutions. The fields are studied in the case of rotational symmetry and analytic…

High Energy Physics - Theory · Physics 2008-02-03 J. Gladikowski

We study spherically symmetric black hole solutions in a four-parameter Einstein-Cartan-type class of theories, called "torsion bigravity". These theories offer a geometric framework (with a metric and an independent torsionfull connection)…

General Relativity and Quantum Cosmology · Physics 2020-10-21 Vasilisa Nikiforova , Thibault Damour

We examine the Smarr formula in eleven-dimensional spacetime compactified on a general six-dimensional, Ricci-flat manifold. We show that non-zero mass for smooth and horizonless solutions can only be provided by cohomology. Furthermore, we…

High Energy Physics - Theory · Physics 2018-06-07 Patrick A. Haas

We obtain a perturbative solution for rotating charged black holes in 5-dimensional Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant. We start from a small undeformed Kerr-AdS solution and use the electric charge…

General Relativity and Quantum Cosmology · Physics 2017-01-11 Mozhgan Mir , Robert B. Mann

We study the problem of stationary bi-axially symmetric solutions of the $5$-dimensional minimal supergravity equations. Essentially all possible solutions with nondegenerate horizons are produced, having the allowed horizon cross-sectional…

General Relativity and Quantum Cosmology · Physics 2023-01-06 Aghil Alaee , Marcus Khuri , Hari Kunduri

Applying the Horsk\'y-Mitskievitch conjecture to the empty space solutions of Morgan and Morgan due to the gravitational field of a finite disk, we have obtained the corresponding solutions of the Einstein-Maxwell equations. The resulting…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Antonio C. Gutiérrez-Piñeres , Guillermo A. González

Three-dimensional Einstein-Maxwell theory with non trivial asymptotics at null infinity is solved. The symmetry algebra is a Virasoro-Kac-Moody type algebra that extends the bms3 algebra of the purely gravitational case. Solution space…

General Relativity and Quantum Cosmology · Physics 2015-11-26 Glenn Barnich , Pierre-Henry Lambert , Pujian Mao

We present a spinning black hole solution in $d$ dimensions with a maximal number of rotation parameters in the context of the Einstein-Maxwell-Dilaton theory. An interesting feature of such a solution is that it accommodates Lifshitz black…

High Energy Physics - Theory · Physics 2021-10-25 Alfredo Herrera-Aguilar , Jhony A. Herrera-Mendoza , Daniel F. Higuita-Borja

In this article, we study the coupling of the Einstein field equations of general relativity to a family of models of nonlinear electromagnetic fields. The family comprises all covariant electromagnetic models that satisfy the following…

Analysis of PDEs · Mathematics 2016-01-20 Jared Speck

We study the structural and dynamical consequences of introducing a distributional density profile inside a neutron star, representing a massless, topological shell located at an arbitrary radius. We incorporate this effect into the…

General Relativity and Quantum Cosmology · Physics 2026-04-15 Debojoti Kuzur , Kamal Krishna Nath

We present and analyze exact solutions of the Einstein-Maxwell equations in higher dimensions which form a large subclass of the Kundt family of spacetimes. We assume that the cosmological constant may be nonvanishing, and the matter…

General Relativity and Quantum Cosmology · Physics 2012-09-26 Pavel Krtous , Jiri Podolsky , Andrei Zelnikov , Hedvika Kadlecova

It was demonstrated recently that there is an upper bound of the Chern-Simons coupling of the five-dimensional Einstein-Maxwell theory, beyond which the electrically charged AdS_2 \times S^3 vacuum solution becomes unstable. We generalize…

High Energy Physics - Theory · Physics 2014-11-21 H. Lu , Zhao-Long Wang

We study the existence of smooth topological solitons and black strings as locally-stable saddles of the Euclidean gravitational action of five dimensional Einstein-Maxwell theory. These objects live in the Kaluza-Klein background of four…

High Energy Physics - Theory · Physics 2022-05-18 Ibrahima Bah , Anindya Dey , Pierre Heidmann

A self-interacting SU(2)-doublet of complex scalar fields, minimally coupled to Einstein-Gauss-Bonnet gravity is considered in five space-time dimensions. The classical equations admit two families of solitons corresponding to spinning and…

General Relativity and Quantum Cosmology · Physics 2014-06-11 Yves Brihaye , Jürgen Riedel

We find two new classes of exact solutions to the Einstein-Maxwell system of equations. The matter content satisfies a linear equation of state consistent with quark matter; a particular form of one of the gravitational potentials is…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. Komathiraj , S. D. Maharaj

Solving the classical equations of motion in general relativity recursively, we consider the metric of a spatially localized and stationary source of matter. Having in mind a star of general composition, we characterize it by means of its…

High Energy Physics - Theory · Physics 2026-03-19 Poul H. Damgaard , Hojin Lee , Kanghoon Lee , Tabasum Rahnuma

In Einstein-Maxwell-Chern-Simons theory the extremal Reissner-Nordstr\"om solution is no longer the single extremal solution with vanishing angular momentum, when the Chern-Simons coupling constant reaches a critical value. Instead a whole…

General Relativity and Quantum Cosmology · Physics 2014-09-02 Jose Luis Blazquez-Salcedo , Jutta Kunz , Francisco Navarro-Lerida , Eugen Radu

We consider three dimensional gravity with a positive cosmological constant and non- zero gravitational Chern-Simons term. This theory has inflating de Sitter solutions and local metric degrees of freedom. The Euclidean signature partition…

High Energy Physics - Theory · Physics 2011-11-23 Alejandra Castro , Nima Lashkari , Alexander Maloney

It is a long-standing question to extend the definition of 3-dimensional Chern-Simons theory to one which associates values to 1-manifolds with boundary and to 0-manifolds. We provide a solution in case the gauge group is a torus. We also…

Algebraic Topology · Mathematics 2009-06-19 Daniel S. Freed , Michael J. Hopkins , Jacob Lurie , Constantin Teleman