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We develop a notion of Einstein manifolds with skew torsion on compact, orientable Riemannian manifolds of dimension four. We prove an analogue of the Hitchin-Thorpe inequality and study the case of equality. We use the link with…

Differential Geometry · Mathematics 2015-05-28 Ana Cristina Ferreira

We construct new supersymmetric solutions to the Euclidean Einstein-Maxwell theory with a non-vanishing cosmological constant, and for which the Maxwell field strength is neither self-dual or anti-self-dual. We find that there are three…

High Energy Physics - Theory · Physics 2011-04-04 M. Dunajski , J. B. Gutowski , W. A. Sabra , Paul Tod

We present arguments for the existence of five-dimensional rotating black holes with equal magnitude angular momenta in Einstein-Gauss-Bonnet theory with negative cosmological constant. These solutions posses a regular horizon of spherical…

High Energy Physics - Theory · Physics 2008-11-26 Y. Brihaye , E. Radu

We construct a new exact solution of the Einstein-Maxwell-Dilaton field equations in five dimensions, which describes a system of two general charged and static black holes sitting at the two turning points of the Taub-bolt instanton. We…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Cristian Stelea , Ciprian Dariescu , Marina Aura Dariescu

We consider a theory of gravity with a hidden extra-dimension and metric-dependent torsion. A set of physically motivated constraints are imposed on the geometry so that the torsion stays confined to the extra-dimension and the…

General Relativity and Quantum Cosmology · Physics 2013-05-30 Karthik H. Shankar , Anand Balaraman , Kameshwar C. Wali

We present an exact solution to the Einstein field equations which is Ricci and Riemann flat in five dimensions, but in four dimensions is a good model for the early vacuum-dominated universe.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Tomas Liko , Paul S. Wesson

We discuss Petrov type D Einstein-Maxwell fields in which both double null eigenvectors of the Weyl tensor are non-aligned with the eigenvectors of a non-null electromagnetic field and are assumed to be geodesic, shear-free, diverging and…

General Relativity and Quantum Cosmology · Physics 2020-10-28 Norbert Van den Bergh , John Carminati

Under certain conditions some solutions to five-dimensional heterotic M-theory can be accurately described by the four-dimensional action of the theory - they have a four-dimensional limit. We consider the connection between solutions of…

High Energy Physics - Theory · Physics 2009-11-07 Ed Copeland , James Gray , Andre Lukas , David Skinner

When four-dimensional general relativity is embedded in an unconstrained man-ner in a fifth dimension, the physical quantities of spacetime can be interpreted as geometrical properties related to the extra dimension. It has become…

General Relativity and Quantum Cosmology · Physics 2010-06-18 Paul S. Wesson

We construct spinning black hole solutions in five dimensions that take into account the mixed gauge-gravitational Chern-Simons term and its supersymmetric completion. The resulting entropy formula is discussed from several points of view.…

High Energy Physics - Theory · Physics 2010-02-03 Alejandra Castro , Joshua L. Davis , Per Kraus , Finn Larsen

New exact solution of the cylindrically symmetric Einstein-Maxwell equations is presented. The solution is singular on the axis of symmetry and at the radial infinity, where sources should be placed. The accepted source at the origin can be…

General Relativity and Quantum Cosmology · Physics 2009-12-04 Merab Gogberashvili

We present a class of solutions in Einstein-Yang-Mills-systems with arbitrary gauge groups and space-time dimensions, which are symmetric under the action of the group of spatial rotations. Our approach is based on the dimensional reduction…

General Relativity and Quantum Cosmology · Physics 2010-11-19 G. Rudolph , T. Tok , I. Volobuev

The quantum cosmological version of the multidimensional Einstein-Yang-Mills model in a $R \times S^3 \times S^d$ topology is studied in the framework of the Hartle-Hawking proposal. In contrast to previous work in the literature, we…

General Relativity and Quantum Cosmology · Physics 2009-10-28 O. Bertolami , P. D. Fonseca , P. V. Moniz

We investigate finite energy solutions of the Einstein--Yang-Mills--Chern-Simons system in odd spacetime dimensions, D=2n+1, with n>1. Our configurations are static and spherically symmetric, approaching at infinity a Minkowski spacetime…

High Energy Physics - Theory · Physics 2013-05-29 Yves Brihaye , Eugen Radu , D. H. Tchrakian

We clarify the status of two known solutions to the 5-dimensional vacuum Einstein field equations derived by Liu, Mashhoon & Wesson (LMW) and Fukui, Seahra & Wesson (FSW), respectively. Both 5-metrics explicitly embed 4-dimensional…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Sanjeev S. Seahra , Paul S. Wesson

Assuming the minimal time to send a bit of information in the Einstein clock synchronization of the two clocks located at different positions, we introduce the extended metric to the information space. This modification of relativity…

General Relativity and Quantum Cosmology · Physics 2018-05-01 Akio Hosoya , Shunsuke Fujii

We consider black-string-type solutions in five-dimensional Einstein-Gauss-Bonnet gravity. Numerically constructed solutions under static, axially symmetric and translationally invariant metric ansatz are presented. The solutions are…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Tsutomu Kobayashi , Takahiro Tanaka

We present a local classification of conformally equivalent but oppositely oriented 4-dimensional Kaehler metrics which are toric with respect to a common 2-torus action. In the generic case, these "ambitoric" structures have an intriguing…

Differential Geometry · Mathematics 2016-11-28 Vestislav Apostolov , David M. J. Calderbank , Paul Gauduchon

In this work, we generalize Ernst potentials to the Einstein-Maxwell-Dilaton case and explicitly write the corresponding potential space metric. Since this metric is five-dimensional in potential space, we generalize the corresponding…

General Relativity and Quantum Cosmology · Physics 2026-03-04 Leonel Bixano , Tonatiuh Matos

We present balanced black ring solutions of pure Einstein-Maxwell theory in five dimensions. The solutions are asymptotically flat, and their tension and gravitational self-attraction are balanced by the repulsion due to rotation and…

High Energy Physics - Theory · Physics 2015-05-20 Burkhard Kleihaus , Jutta Kunz , Kirsten Schnülle