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We present a new formulation of Einstein's equations for an axisymmetric spacetime with vanishing twist in vacuum. We propose a fully constrained scheme and use spherical polar coordinates. A general problem for this choice is the…

General Relativity and Quantum Cosmology · Physics 2015-05-15 Christian Schell , Oliver Rinne

We study the Einstein-Yang-Mills equations in a 6-dimensional space-time. We make a self-consistent static, spherically symmetric ansatz for the gauge fields and the metric. The metric of the manifold associated with the two extra…

High Energy Physics - Theory · Physics 2009-11-10 Yves Brihaye , Fabien Clement , Betti Hartmann

We consider a $D$-dimensional cosmological model with a dilaton field and two $(D-d-1)$-form field strengths which have nonvanishing fluxes in extra dimensions. Exact solutions for the model with a certain set of couplings are obtained by…

High Energy Physics - Theory · Physics 2018-09-24 Nahomi Kan , Masashi Kuniyasu , Kiyoshi Shiraishi , Kohjiroh Takimoto

We formulate a one-parameter extension of Weyl transformations in first-order gravity and show that it defines a conformally coupled scalar sector with dynamical torsion. The construction reduces to the standard torsionless conformal…

High Energy Physics - Theory · Physics 2026-05-27 Luis Avilés , Omar Valdivia , Rodolfo Véliz , Carlos Vera

Spherical black hole (BH) solutions in Einstein-Maxwell-scalar (EMS) models wherein the scalar field is non-minimally coupled to the Maxwell invariant by some coupling function are discussed. We suggest a classification for these models…

High Energy Physics - Theory · Physics 2020-01-08 D. Astefanesei , C. Herdeiro , A. Pombo , E. Radu

We reconsider here the problem of finding the general 4D spherically symmetric, asymptotically flat and time-independent solutions to the lowest-order string equations in the $\ap$ expansion. Our construction includes earlier work, but…

High Energy Physics - Theory · Physics 2010-11-19 C. P. Burgess , R. C. Myers , F. Quevedo

Five-dimensional Einstein-Maxwell-Chern-Simons equations are investigated in the framework of an extended Kerr-Schild strategy to search for black holes solutions. The fulfillment of Einstein equations constrains the Chern-Simons coupling…

General Relativity and Quantum Cosmology · Physics 2022-10-25 Marcos R. A. Arcodía , Rafael Ferraro

Einstein's equations for a 4+n-dimensional inhomogeneous space-time are presented, and a special family of solutions is exhibited for an arbitrary n. The solutions depend on two arbitrary functions of time. The time development of a…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Santiago E. Perez Bergliaffa

New axisymmetric stationary solutions of the vacuum Einstein equations in five-dimensional asymptotically flat spacetimes are obtained by using solitonic solution-generating techniques. The new solutions are shown to be equivalent to the…

High Energy Physics - Theory · Physics 2009-11-11 Takashi Mishima , Hideo Iguchi

We present a new approach for generation of solutions in the four-dimensional heterotic string theory with one vector field and in the five-dimensional bosonic string theory starting from the static Einstein-Maxwell fields. Our approach…

High Energy Physics - Theory · Physics 2009-11-07 Alfredo Herrera-Aguilar , Oleg V. Kechkin

We investigate time-dependent spherically symmetric solutions of the four-dimensional Einstein-Maxwell-axion-dilaton system, with the dilaton coupling that occurs in low-energy effective heterotic string theory. A class of…

High Energy Physics - Theory · Physics 2017-05-17 Pedro Aniceto , Jorge V. Rocha

A class of $ G $-invariant Einstein-Yang-Mills (EYM) systems with cosmological constant on homogeneous spaces $ G / H $, where $ G $ is a semisimple compact Lie group, is presented. These EYM--systems can be obtained in terms of dimensional…

General Relativity and Quantum Cosmology · Physics 2009-10-28 G. Rudolph , T. Tok

In this paper we study the static Einstein-Maxwell space when it is conformal to an $n$-dimensional pseudo-Euclidean space, which is invariant under the action of an $(n-1)$-dimensional translation group. We also provide a complete…

General Relativity and Quantum Cosmology · Physics 2021-10-20 Benedito Leandro , Ana Paula de Melo , Ilton Menezes , Romildo Pina

New solutions to the static, spherically symmetric Einstein-Yang-Mills-Higgs equations with the Higgs field in the triplet resp. doublet representation are presented. They form continuous families parametrized by $\alpha=M_W/M_Pl$ ($M_W$…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Peter Forgacs , Sebastien Reuillon

Recent works by the second author and Maxwell et al. have shown that the Einstein-scalar field conformal constraint equations are highly complex and generally intractable, even in the vacuum case. In this article, to gain a clearer…

General Relativity and Quantum Cosmology · Physics 2026-03-11 Philippe Castillon , Cang Nguyen-The

The paper presents a generalization and further development of our recent publications where solutions of the Klein-Fock-Gordon equation defined on a few particular $D=(2+1)$-dim static space-time manifolds were considered. The latter…

General Relativity and Quantum Cosmology · Physics 2012-01-31 P. P. Fiziev , D. V. Shirkov

We construct a new class of Einstein-Maxwell static solutions with a magnetic field in $D$-dimensions (with $D\geq 5$ an odd number), approaching at infinity a globally Anti-de Sitter (AdS) spacetime. In addition to the mass, the new…

General Relativity and Quantum Cosmology · Physics 2016-12-14 Jose Luis Blázquez-Salcedo , Jutta Kunz , Francisco Navarro-Lérida , Eugen Radu

We study spherically symmetric, asymptotically flat black hole solutions in the low-energy effective heterotic string theory, which is the Einstein gravity with Gauss-Bonnet term and the dilaton, in various dimensions. We derive the field…

General Relativity and Quantum Cosmology · Physics 2008-12-18 Zong-Kuan Guo , Nobuyoshi Ohta , Takashi Torii

We describe a simple technique for generating solutions to the classical field equations for an arbitrary nonlinear sigma-model minimally coupled to gravity. The technique promotes an arbitrary solution to the coupled Einstein/Klein-Gordon…

High Energy Physics - Theory · Physics 2023-08-24 Philippe Brax , C. P. Burgess , F. Quevedo

Einstein-Maxwell field equations correspoding to higher dimensional description of static spherically symmetric space-time have been solved under two specific set of conditions, viz., (i) $\rho \ne 0$, $\nu^\prime= 0$ and (ii) $\rho=0$, $…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Saibal Ray
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