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We solve the Einstein constraint equations for a 3 + 1 dimensional vacuum spacetime with a space-like translational Killing field in the asymptotically flat case.. The presence of a space-like translational Killing field allows for a…

Analysis of PDEs · Mathematics 2014-10-23 Cécile Huneau

We show that toroidal compactification of type II string theory to six dimensions admits axionic euclidean wormhole solutions. These wormholes can be inserted into $AdS_3 \times S^3 \times T^4$ backgrounds, which have a well-defined CFT…

High Energy Physics - Theory · Physics 2009-04-22 Nima Arkani-Hamed , Jacopo Orgera , Joseph Polchinski

Double Field Theory describes the NS-NS sector of string theory and lives on a doubled spacetime. The theory has a local gauge symmetry generated by a generalization of the Lie derivative for doubled coordinates. For the action to be…

High Energy Physics - Theory · Physics 2011-12-06 David Geissbühler

The Einstein-Maxwell (E-M) equations in a curved spacetime that admits at least one Killing vector are derived, from a Lagrangian density adapted to symmetries. In this context, an auxiliary space of potentials is introduced, in which, the…

General Relativity and Quantum Cosmology · Physics 2016-02-17 I. G. Contopoulos , F. P. Esposito , K. Kleidis , D. B. Papadopoulos , L. Witten

We present a covariant study of static space-times, as such and as solutions of gravity theories. By expressing the relevant tensors through the velocity and the acceleration vectors that characterise static space-times, the field equations…

General Relativity and Quantum Cosmology · Physics 2023-09-14 Carlo Alberto Mantica , Luca Guido Molinari

In general, the field equations of $f(R)$ theory coupled to a matter field are very complicated and hence it is not easy to find exact analytical solutions. However, if one considers traceless energy-momentum tensor for the matter source as…

General Physics · Physics 2013-04-15 S. Salarpour , A. Sheykhi , Y. Bahrampour

We explore the possibility of string theories in only four spacetime dimensions without any additional compactified dimensions. We show that, provided the theory is defined in curved spacetime that has a cosmological interpration, it is…

High Energy Physics - Theory · Physics 2008-11-26 Itzhak Bars

The coupling of spin-3 gauge fields to three-dimensional Maxwell and $AdS$-Lorentz gravity theories is presented. After showing how the usual spin-3 extensions of the $AdS$ and the Poincar\'e algebras in three dimensions can be obtained as…

High Energy Physics - Theory · Physics 2018-07-19 Ricardo Caroca , Patrick Concha , Octavio Fierro , Evelyn Rodríguez , Patricio Salgado-Rebolledo

We study cosmological solutions in the effective heterotic string theory with $\alpha'$-correction terms in string frame. It is pointed out that the effective theory has an ambiguity via field redefinition and we analyze generalized…

High Energy Physics - Theory · Physics 2015-06-03 Kei-ichi Maeda , Nobuyoshi Ohta , Ryo Wakebe

We establish a relation, conjectured recently by E. Witten, between the hypermultiplet moduli space in compactifications of the heterotic string on an A-D-E singularities, and the moduli spaces of three dimensional pure gauge theories with…

High Energy Physics - Theory · Physics 2009-10-31 Moshe Rozali

We present a class of higher dimensional solutions to Einstein-Maxwell equations in d-dimensions. These solutions are asymptotically locally flat, de-Sitter, or anti-de Sitter space-times. The solutions we obtained depend on two extra…

High Energy Physics - Theory · Physics 2014-11-18 Adel M. Awad

We present two new classes of axisymmetric stationary solutions of the Einstein-Maxwell-Dilaton equations with coupling constant $\alpha^2=3$. Both classes are written in terms of two harmonic maps $\lambda$ and $\tau$. $\lambda$ determines…

High Energy Physics - Theory · Physics 2014-11-18 Tonatiuh Matos , Cesar Mora

We study conformal theories of gravity, i.e. those whose action is invariant under the local transformation g_{\mu\nu} -> \omega^2 (x) g_{\mu\nu}. As is well known, in order to obtain Einstein gravity in 4D it is necessary to introduce a…

High Energy Physics - Theory · Physics 2009-11-11 Ignacio Navarro , Karel Van Acoleyen

The correspondence of stationary, axisymmetric, asymptotically flat space-times and bundles over a reduced twistor space has been established in four dimensions. The main impediment for an application of this correspondence to examples in…

General Relativity and Quantum Cosmology · Physics 2012-07-03 Norman Metzner

We describe string-theory and $d=11$ supergravity solutions involving symmetric spaces of constant negative curvature. Many examples of non-supersymmetric string compactifications on hyperbolic spaces $H_r$ of finite volume are given in…

High Energy Physics - Theory · Physics 2009-10-31 A. Kehagias , J. G. Russo

Recent progress on string theory in curved spacetimes is reviewed. The string dynamics in cosmological and black hole spacetimes is investigated.The methods to solve the string equations of motion in curved spacetimes are described.That is,…

High Energy Physics - Theory · Physics 2007-05-23 H. J. de Vega , N. sánchez

We consider the low-energy effective action of the 5D Einstein-Maxwell-Kalb-Ramond theory. After compactifying this truncated model on a two-torus and switching off the U(1) vector fields of this theory, we recall a formulation of the…

High Energy Physics - Theory · Physics 2015-06-26 Ricardo Becerril , Alfredo Herrera-Aguilar

We present a new set of supersymmetric stationary solutions of pure N=4,d=4 supergravity (and, hence, of low-energy effective string theory) that generalize (and include) the Israel-Wilson-Perj\'es solutions of Einstein-Maxwell theory. All…

High Energy Physics - Theory · Physics 2014-11-18 E. Bergshoeff , R. Kallosh , T. Ortin

We present a class of solutions to the Einstein-Maxwell equations in d-dimensions, all of which are asymptotically (anti)-de Sitter space-times. They describe electrically charged rotating solutions, which are generalizations of those found…

High Energy Physics - Theory · Physics 2009-11-07 Adel Awad

We construct uniform black-string solutions in Einstein-Gauss-Bonnet gravity for all dimensions $d$ between five and ten and discuss their basic properties. Closed form solutions are found by taking the Gauss-Bonnet term as a perturbation…

High Energy Physics - Theory · Physics 2014-11-20 Y. Brihaye , T. Delsate , E. Radu