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We study a class of generalized Chern-Simons equations on discrete lattice graphs. By an iterative scheme combined with an exhaustion argument, we establish the existence of topological solutions, which is also the maximal topological…

Analysis of PDEs · Mathematics 2026-01-09 Songbo Hou

We construct the first eleven-dimensional supergravity solutions, which are regular, have no smearing and possess only SO(2,4) x SO(3) x U(1)_R isometry. They are dual to four-dimensional field theories with N = 2 superconformal symmetry.…

High Energy Physics - Theory · Physics 2013-11-06 P. Marios Petropoulos , Konstadinos Sfetsos , Konstadinos Siampos

We give two classes of spherically symmetric exact solutions of the couple gravitational and electromagnetic fields with charged source in the tetrad theory of gravitation. The first solution depends on an arbitrary function $H({R},t)$. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gamal G. L. Nashed , Takeshi Shirafuji

In this paper, we are eager to construct a new class of (n+1)-dimensional static magnetic brane solutions in quasi-topological gravity coupled to nonlinear electrodynamics such as exponential and logarithmic forms. The solutions of this…

General Physics · Physics 2019-06-19 A. Bazrafshan , F. Naeimipour , M. Ghanaatian , Gh. Forozani , A. Alizadeh

There are explored off-diagonal deformations of "prime" metrics in Einstein gravity (for instance, for wormhole configurations) into "target" exact solutions in f(R,T)-modified and massive/ bi-metric gravity theories. The new classes of…

General Relativity and Quantum Cosmology · Physics 2014-03-25 Sergiu I. Vacaru

We consider rotating black hole solutions in five-dimensional Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant and a generic value of the Chern-Simons coupling constant $\lambda$. Using both analytical and…

General Relativity and Quantum Cosmology · Physics 2017-03-29 Jose Luis Blázquez-Salcedo , Jutta Kunz , Francisco Navarro-Lérida , Eugen Radu

The Einstein-Maxwell equations with a negative cosmological constant in 2+1 spacetime dimensions discussed by Banados, Teitelboim and Zanelli are solved by assuming a self(anti-self)dual equation. The solution describes an electrically…

High Energy Physics - Theory · Physics 2009-10-28 Masaru Kamata , Takao Koikawa

Associated to every stationary extremal black hole is a unique near-horizon geometry, itself a solution of the field equations. These latter spacetimes are more tractable to analyze and most importantly, retain properties of the original…

High Energy Physics - Theory · Physics 2015-05-28 Hari K. Kunduri

We present solutions describing homogeneous and isotropic cosmologies in the massive gravity theory with two dynamical metrics recently proposed in arXiv:1109.3515 and claimed to be ghost free. These solutions can be spatially open, closed,…

High Energy Physics - Theory · Physics 2015-05-30 Mikhail S. Volkov

We study electric stationary radial symmetric classical solutions of the U(1) Einstein Maxwell Chern-Simons theory coupled to a gravitational massless scalar field with a cosmological constant in 2+1 dimensions. Generic aspects of the…

High Energy Physics - Theory · Physics 2008-11-26 P. Castelo Ferreira

The five dimensional Einstein-Gauss-Bonnet gravity with a negative cosmological constant becomes, for a special value of the Gauss-Bonnet coupling constant, a Chern-Simons (CS) theory of gravity. In this work we discuss the properties of…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Yves Brihaye , Eugen Radu

We construct static and time-dependent exact soliton solutions with non-trivial Hopf topological charge for a field theory in 3+1 dimensions with the target space being the two dimensional sphere S**2. The model considered is a reduction of…

High Energy Physics - Theory · Physics 2010-04-08 L. A. Ferreira , A. C. Riserio do Bonfim

A class of $(n+1)$-dimensional topological black hole solutions in Einstein-Maxwell-dilaton theory with Liouville-type potentials for the dilaton field is presented. In these spacetimes, black hole horizon and cosmological horizon can be an…

High Energy Physics - Theory · Physics 2008-11-26 Ahmad Sheykhi

We present a new class of asymptotically flat charge static solutions in third order Lovelock gravity. These solutions present black hole solutions with two inner and outer event horizons, extreme black holes or naked singularities provided…

High Energy Physics - Theory · Physics 2009-11-11 M. H. Dehghani , M. Shamirzaie

The 2+1-dimensional geodesic circularly symmetric solutions of Einstein-massless-scalar field equations with negative cosmological constant are found and their local and global properties are studied. It is found that one of them represents…

General Relativity and Quantum Cosmology · Physics 2010-11-19 R. Chan , M. F. A. da Silva , Jaime F. Villas da Rocha

In an odd-dimensional spacetime, gravity can be formulated as a proper gauge theory based on the Chern-Simons action for a suitable gauge group. Performing dimensional reduction, one obtains, as an effective theory, Chamseddine's…

High Energy Physics - Theory · Physics 2024-01-31 Dušan Đorđević , Dragoljub Gočanin

Exact static, spherically symmetric solutions to the Einstein-Maxwell-scalar equations, with a dilatonic-type scalar-vector coupling, in $D$-dimensional gravity with a chain of $n$ Ricci-flat internal spaces are considered. Their properties…

General Relativity and Quantum Cosmology · Physics 2015-06-25 U. Bleyer , K. A. Bronnikov , S. B. Fadeev , V. N. Melnikov

We present exact spherical black hole solutions in de Rham, Gabadadze and Tolley (dRGT) massive gravity for a generic choice of the parameters in the theory, and also discuss the thermodynamical and phase structure of the black hole in both…

General Relativity and Quantum Cosmology · Physics 2016-03-16 Sushant G. Ghosh , Lunchakorn Tannukij , Pitayuth Wongjun

Motivated by the Extremal Vanishing Horizon (EVH) black holes, their near horizon geometry and the EVH/CFT proposal, we construct and classify solutions with (local) SO(2,2) symmetry to four and five dimensional Einstein-Maxwell-Dilaton…

High Energy Physics - Theory · Physics 2015-06-22 S. Sadeghian , M. M. Sheikh-Jabbari , H. Yavartanoo

Static spherically symmetric solutions for conformal gravity in three dimensions are found. Black holes and wormholes are included within this class. Asymptotically the black holes are spacetimes of arbitrary constant curvature, and they…

High Energy Physics - Theory · Physics 2009-07-28 Julio Oliva , David Tempo , Ricardo Troncoso