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The wide applications of higher dimensional gravity and gauge/gravity duality have fuelled the search for new stationary solutions of the Einstein equation (possibly coupled to matter). In this topical review, we explain the mathematical…

High Energy Physics - Theory · Physics 2016-06-22 Oscar J. C. Dias , Jorge E. Santos , Benson Way

We construct, for the first time, charged rotating black string solutions in four-dimensional Einsteinian cubic gravity, which are asymptotically anti de Sitter. By assuming that the solutions are completely regular at the horizon and…

General Relativity and Quantum Cosmology · Physics 2022-03-24 Hamid R. Bakhtiarizadeh

We construct the most general, to cubic order in curvature, theory of gravity whose (most general) static spherically symmetric vacuum solutions are fully described by a single field equation. The theory possess the following remarkable…

High Energy Physics - Theory · Physics 2017-06-07 Robie A. Hennigar , David Kubiznak , Robert B. Mann

In the first part of this thesis, Kerr-Schild metrics and extended Kerr-Schild metrics are analyzed in the context of higher dimensional general relativity. Employing the higher dimensional generalizations of the Newman-Penrose formalism…

General Relativity and Quantum Cosmology · Physics 2012-04-03 Tomáš Málek

Palatini (or metric-affine) theories of gravity are characterized by having {\it a priori} independent metric and affine structures. The theories built in this framework have their field equations obtained as independent variations of the…

General Relativity and Quantum Cosmology · Physics 2022-09-13 Gonzalo J. Olmo , Diego Rubiera-Garcia

The solution of topologically massive gravity with cosmological constant is reduced, for space-times with two commuting Killing vectors, to a special-relativistic dynamical problem. This approach is applied to the construction of a class of…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Gérard Clément

We show how a recently discovered black ring solution with a rotating 2-sphere can be turned into two new solutions of Einstein-Maxwell-dilaton theory. The first is a four-dimensional solution describing a pair of oppositely charged,…

High Energy Physics - Theory · Physics 2009-11-11 Edward Teo

We present a new two-parameter family of solutions of Einstein gravity with negative cosmological constant in 2+1 dimensions. These solutions are obtained by squashing the anti-de Sitter geometry along one direction and posses four Killing…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Eugen Radu

BPS black hole solutions of U(1) gauged five-dimensional supergravity are obtained by solving the Killing spinor equations. These extremal static black holes live in an asymptotic AdS_5 space time. Unlike black holes in asymptotic flat…

High Energy Physics - Theory · Physics 2009-10-31 K. Behrndt , A. H. Chamseddine , W. A. Sabra

Small black holes in heterotic string theory have vanishing horizon area at the supergravity level, but the horizon is stretched to the finite radius $AdS_2 \times S^{D-2}$ geometry once higher curvature corrections are turned on. This has…

High Energy Physics - Theory · Physics 2013-05-29 Chiang-Mei Chen , Dmitri V. Gal'tsov , Nobuyoshi Ohta , Dmitry G. Orlov

We study the boundary value problem for asymptotically flat stationary black ring solutions to the five-dimensional vacuum Einstein equations. Assuming the existence of two additional commuting axial Killing vector fields and the horizon…

High Energy Physics - Theory · Physics 2008-11-26 Yoshiyuki Morisawa , Shinya Tomizawa , Yukinori Yasui

We construct solutions of higher-dimensional Einstein gravity coupled to nonlinear $\sigma$-model with cosmological constant. The $\sigma$-model can be perceived as exterior configuration of a spontaneously-broken $SO(D-1)$ global…

General Relativity and Quantum Cosmology · Physics 2017-08-30 Ilham Prasetyo , Handhika S. Ramadhan

In the context of this dissertation, we study the emergence of black-string and black-hole solutions in the framework of five-dimensional braneworld models. The main motivation for studying such theories stems from the Randall-Sundrum…

General Relativity and Quantum Cosmology · Physics 2022-06-01 Theodoros Nakas

We construct black ring solutions in five-dimensional $U(1)^3$ supergravity which carry three dipole charges, three electric charges and one angular momentum parameter. These solutions are written in a form that is sufficiently compact that…

High Energy Physics - Theory · Physics 2014-11-07 H. Lu , C. N. Pope , Justin F. Vazquez-Poritz , Zhibai Zhang

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. We show the existence of solutions with nonflat asymptotic behavior.

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

Classical gravitating field theories reduced to three dimensions admit manifest gauge invariances and hidden symmetries, which together make up the invariance group G of the theory. If this group is large enough, the target space is a…

High Energy Physics - Theory · Physics 2008-11-06 Gerard Clement

Supersymmetric solutions of supergravity have been of particular importance in the advances of string theory. This article reviews the current status of black hole solutions in higher-dimensional supergravity theories. We discuss primarily…

High Energy Physics - Theory · Physics 2015-05-27 Kei-ichi Maeda , Masato Nozawa

We construct a quintic quasi-topological gravity in five dimensions, i.e. a theory with a Lagrangian containing $\mathcal{R}^5$ terms and whose field equations are of second order on spherically (hyperbolic or planar) symmetric spacetimes.…

High Energy Physics - Theory · Physics 2017-05-24 Adolfo Cisterna , Luis Guajardo , Mokhtar Hassaine , Julio Oliva

We find that AdS spacetime with a non-trivial linear dilaton field is an exact solution in the effective action of string theory, which is described by gravity with the Gauss-Bonnet curvature terms coupled to a dilaton field in the string…

High Energy Physics - Theory · Physics 2015-03-17 Kei-ichi Maeda , Nobuyoshi Ohta , Yukinori Sasagawa

In the context of a five-dimensional theory with a scalar field non-minimally-coupled to gravity, we look for solutions that describe novel black-string or maximally-symmetric solutions in the bulk. The brane line-element is found to…

General Relativity and Quantum Cosmology · Physics 2018-10-09 Panagiota Kanti , Theodoros Nakas , Nikolaos Pappas