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We study the structure of stationary and axisymmetric metrics solving the vacuum Einstein equations of General Relativity in four and higher dimensions, building on recent work in hep-th/0408141. We write the Einstein equations in a new…

High Energy Physics - Theory · Physics 2009-11-11 Troels Harmark , Poul Olesen

In the present paper we investigate the general problem of uniqueness of the stationary black solutions in 5D Einstein-Maxwell-dilaton gravity with arbitrary dilaton coupling parameter containing the Einstein-Maxwell gravity as a particular…

High Energy Physics - Theory · Physics 2015-05-27 Stoytcho S. Yazadjiev

Continuous sequences of asymptotically flat solutions to the Einstein-Maxwell equations describing regular equilibrium configurations of ordinary matter can reach a black hole limit. For a distant observer, the spacetime becomes more and…

General Relativity and Quantum Cosmology · Physics 2015-02-12 Reinhard Meinel , Martin Breithaupt , Yu-Chun Liu

We argue that the Weyl coordinates and the rod-structure employed to construct static axisymmetric solutions in higher dimensional Einstein gravity can be generalized to the Einstein-Gauss-Bonnet theory. As a concrete application of the…

General Relativity and Quantum Cosmology · Physics 2010-04-21 Burkhard Kleihaus , Jutta Kunz , Eugen Radu

Classes of exact static solutions in four-dimensional Einstein-Maxwell-Dilaton gravity are found. Besides of the well-known solutions previously found in the literature, new solutions are presented.It's shown that spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. Yazadjiev

We develop solution-generating techniques for stationary metrics with one angular momentum and axial symmetry, in the presence of a cosmological constant and in arbitrary spacetime dimension. In parallel we study the related lower…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Christos Charmousis , David Langlois , Daniele Steer , Robin Zegers

In this summary article, we review and discuss the non-existence of stationary black hole solutions for the Einstein-Dirac-Maxwell equations.

General Relativity and Quantum Cosmology · Physics 2007-05-23 Felix Finster , Joel Smoller , Shing-Tung Yau

A large family of new black hole solutions in 2+1-dimensional Einstein-Power-Maxwell (EPM) gravity with prescribed physical properties is derived. We show with particular examples that according to the power parameter k of the Maxwell…

General Relativity and Quantum Cosmology · Physics 2012-07-26 O. Gurtug , S. Habib Mazharimousavi , M. Halilsoy

A class of solutions in $d$-dimensional Einstein gravity minimally coupled to a massless scalar field is studied, where the spacetime metric is of a generalized Weyl form with $d-2$ commuting Killing vectors. In addition to the procedure to…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Yen-Kheng Lim

In a space-time $M$ with a Killing vector field $\xi^a$ which is either everywhere timelike or everywhere spacelike, the collection of all trajectories of $\xi^a$ gives a 3-dimension space $S$. Besides the symmetry-reduced action from that…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Han He , Yongge Ma , Xuejun Yang

In this short note, I present a generalization of a set of static D-dimensional (D >= 3) Lifshitz black holes, which are solutions of the gravitational model obtained by amending the cosmological Einstein theory with the addition of only…

High Energy Physics - Theory · Physics 2011-12-09 Ozgur Sarioglu

Exact solutions to the Einstein field equations may be generated from already existing ones (seed solutions), that admit at least one Killing vector. In this framework, a space of potentials is introduced. By the use of symmetries in this…

General Relativity and Quantum Cosmology · Physics 2016-03-16 I. G. Contopoulos , F. P. Esposito , K. Kleidis , D. B. Papadopoulos , L. Witten

We construct a class of Einstein-vector theories where the vector field couples bilinearly to the curvature polynomials of arbitrary order in such a way that only Riemann tensor rather than its derivative enters the equations of motion. The…

High Energy Physics - Theory · Physics 2016-02-17 Wei-Jian Geng , H. Lu

We show that the general framework proposed in arXiv:1410.0581 for the study of asymptotically flat vacuum black objects with $k+1$ equal magnitude angular momenta in $D\geq 5$ spacetime dimensions (with $0\leq k\leq \big[\frac{D-5}{2}…

General Relativity and Quantum Cosmology · Physics 2016-05-31 Burkhard Kleihaus , Jutta Kunz , Eugen Radu

The correspondence between 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…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Norman Metzner

We extend the formulation for perturbations of maximally symmetric black holes in higher dimensions developed by the present authors in a previous paper (hep-th/0305147) to a charged black hole background whose horizon is described by an…

High Energy Physics - Theory · Physics 2008-11-26 Hideo Kodama , Akihiro Ishibashi

Within the metric structure endowed with two orthogonal space-like Killing vectors a class of solutions of the Einstein-Maxwell-Dilaton field equations is presented. Two explicitly given sub-classes of solutions bear an interpretation as…

High Energy Physics - Theory · Physics 2009-10-28 Nora Breton , Tonatiuh Matos , Alberto Garcia

We investigate higher dimensional Robinson-Trautman spacetimes with an electromagnetic field aligned with the hypersurface orthogonal, non-shearing, expanding geodesic null congruence. After integrating the system of Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Marcello Ortaggio , Jiri Podolsky , Martin Zofka

We present exact solutions to the Einstein-Maxwell system of equations in spherically symmetric gravitational fields with a specified form of the electric field intensity. The condition of pressure isotropy yields a difference equation with…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. D. Maharaj , K. Komathiraj

We present arguments for the existence of charged, rotating black holes with equal-magnitude angular momenta in an odd number of dimensions $D\geq 5$. These solutions posses a regular horizon of spherical topology and approach…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jutta Kunz , Francisco Navarro-Lerida , Eugen Radu