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A new formalism for construction of the stationary solutions is developed for the four-dimensional gravity coupled to the dilaton, Kalb-Ramond and two Maxwell fields in a low-energy heterotic string theory form. The result of generation is…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Oleg V. Kechkin

According to Birkhoff's theorem the only spherically symmetric solution of the vacuum Einstein field equations is the Schwarzschild solution. Inspite of imposing asymptotically flatness and staticness as initial conditions we obtain that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Amir H. Abbassi

We study the Einstein-Maxwell system of equations in spherically symmetric gravitational fields for static interior spacetimes. The condition for pressure isotropy is reduced to a recurrence equation with variable, rational coefficients. We…

General Relativity and Quantum Cosmology · Physics 2015-06-25 S. Thirukkanesh , S. D. Maharaj

We present a new class of black hole solutions in Einstein-Maxwell-dilaton gravity in $n \ge 4$ dimensions. These solutions have regular horizons and a singularity only at the origin. Their asymptotic behavior is neither asymptotically flat…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Kevin C. K. Chan , James H. Horne , Robert B. Mann

By using the method of group analysis, we obtain a new exact evolving and spherically symmetric solution of the Einstein-Cartan equations of motion, corresponding to a space-time threaded with a three-form Kalb-Ramond field strength. The…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Filemon Farfan , Ricardo Garcia-Salcedo , Oscar Loaiza-Brito , Claudia Moreno , Alexander Yakhno

We study the phase space of the spherically symmetric solutions of the system obtained from the dimensional reduction of the six-dimensional Einstein-Gauss-Bonnet action with a cosmological constant. We show that all the physical solutions…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. Melis , S. Mignemi

We present a review of black holes and black string solutions available in the $d$-dimensional Einstein and Einstein-Maxwell model in the presence of a cosmological constant. Due to the cosmological constant, the equations do not admit…

General Relativity and Quantum Cosmology · Physics 2009-06-11 Yves Brihaye

We prove a theorem that characterizes a large family of non-static solutions to Einstein equations in $N$-dimensional space-time, representing, in general, spherically symmetric Type II fluid. It is shown that the best known Vaidya-based…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. G. Ghosh , A. K. Dawood

We present arguments for the existence of new black string solutions with negative cosmological constant. These higher-dimensional configurations have no dependence on the `compact' extra dimension, and their conformal infinity is the…

High Energy Physics - Theory · Physics 2009-11-11 Robert B. Mann , Eugen Radu , Cristian Stelea

In this paper, we present static and spherically symmetric vacuum solutions to the mass-dimension $d\leq 4$ action of an effective-field theory, choosing the diffeomorphism symmetry to be broken explicitly. By using the reduced-action…

General Relativity and Quantum Cosmology · Physics 2025-07-09 Samy Aoulad Lafkih , Nils A. Nilsson , Marie-Christine Angonin , Christophe Le Poncin-Lafitte

A d-dimensional spacetime is "axisymmetric" if it possesses an SO(d-2) isometry group whose orbits are (d-3)-spheres. In this paper, algebraically special, axisymmetric solutions of the higher dimensional vacuum Einstein equation (with…

General Relativity and Quantum Cosmology · Physics 2009-11-19 Mahdi Godazgar , Harvey S. Reall

The field equations for Einstein-Maxwell-dilaton gravity in $D$ dimensions are reduced to an effective one-dimensional system under the influence of exponential potentials. Various cases where exact solutions can be found are explored. With…

General Relativity and Quantum Cosmology · Physics 2017-05-10 Yen-Kheng Lim

A class of exact static spherically symmetric solutions of the Einstein-Maxwell gravity coupled to a massless scalar field has been obtained in harmonic coordinates of the Minkowski space-time. For each value of the coupling constant $a$,…

High Energy Physics - Theory · Physics 2015-06-26 Slava G. Turyshev

We study standard Einstein-Maxwell theory minimally coupled to a complex valued and self-interacting scalar field. We demonstrate that new, previously unnoticed spherically symmetric, charged black hole solutions with scalar hair exist in…

General Relativity and Quantum Cosmology · Physics 2021-12-22 Y. Brihaye , B. Hartmann

Two solutions of stringy gravity in three and four dimensions which admit interpretation as a black hole and a black string, respectively, are discussed. It is demonstrated that they are exact WZWN nonlinear sigma models to all orders in…

High Energy Physics - Theory · Physics 2007-05-23 Nemanja Kaloper

The uniqueness theorem for static, spherically symmetric, asymptotically flat, higher dimensional phantom black holes, with non-degenerate event horizon , being the solutions of Einstein phantom/dilaton Maxwell/anti-Maxwell gravity systems…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Marek Rogatko

We discuss the recently discovered new class of globally regular and black hole solutions in Einstein-Yang-Mills and Einstein-Yang-Mills-dilaton theory. These asymptotically flat solutions are static and possess only axial symmetry. The…

General Relativity and Quantum Cosmology · Physics 2007-05-23 B. Kleihaus , J. Kunz

We generalize a five dimensional black hole solution of low energy effective string theory to arbitrary constant spatial curvature. After interchanging the signature of time and radius we reduce the 5d solution to four dimensions and obtain…

High Energy Physics - Theory · Physics 2011-08-17 K. Behrndt , S. Foerste

Einstein-Maxwell equations with a cosmological constant are analyzed in a four dimensional stationary spacetime admitting in addition a two dimensional group $G_2$ of spatial isometries. Charged rotating open and closed black string…

High Energy Physics - Theory · Physics 2009-10-28 José P. S. Lemos , Vilson T. Zanchin

In heterotic string theory compactified to four dimensions with N=2 supersymmetry, string-loop corrections to the universal sector of the low-energy effective action are studied. Within the framework of N=2 supersymmetric formulation of the…

High Energy Physics - Theory · Physics 2014-11-18 Mikhail Z. Iofa