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We consider Einstein gravity with a negative cosmological constant endowed with distinct matter sources. The different models analyzed here share the following two properties: (i) they admit static symmetric solutions with planar base…

High Energy Physics - Theory · Physics 2019-01-29 Moises Bravo Gaete , Sebastian Gomez , Mokhtar Hassaine

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

We consider four-dimensional Einstein gravity minimally coupled to a dilaton scalar field with a supergravity-inspired scalar potential. We obtain an exact time-dependent spherically symmetric solution describing gravitational collapse to a…

High Energy Physics - Theory · Physics 2014-10-21 Xuefeng Zhang , H. Lu

Exact static, spherically symmetric solutions to the Einstein-Maxwell-scalar equations, with a dilatonic-type scalar-vector coupling, in $D$-dimensional gravity with a chain of $n$ Ricci-flat internal spaces are considered, with the Maxwell…

General Relativity and Quantum Cosmology · Physics 2011-08-17 K. A. Bronnikov

We employ an old field theory model, formulated and discussed by Born, Infeld, Hoffman and Rosen during 1930s. Our method of cutting-gluing of spacetimes resolves the double-valuedness in the displacement vector D(E), pointed out by these…

General Relativity and Quantum Cosmology · Physics 2012-07-04 S. Habib Mazharimousavi , M. Halilsoy , Z. Amirabi

We find new solutions to the Einstein-Maxwell equations in the presence of mimetic field in $ D $ dimensions, all of which are asymptotically Antide Sitter. We derive the solutions in five-dimensional spacetime, in detail. By extending the…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Hamid R. Bakhtiarizadeh

In this work, we present a new interpretation of the only static vacuum solution of Einstein's field equations with planar symmetry, the Taub solution. This solution is a member of the $AIII$ class of metrics, along with the type D Kasner…

General Relativity and Quantum Cosmology · Physics 2022-02-28 Charles W. Robson , Marco Ornigotti

Applying the large $D$ approach to the Einstein-Gauss-Bonnet theory, we construct equally rotating black hole solutions in odd dimensions. This provides the first example of the analytic solutions which describes not-slowly rotating black…

High Energy Physics - Theory · Physics 2022-07-27 Ryotaku Suzuki , Shinya Tomizawa

We study static, spherically symmetric vacuum solutions to Quadratic Gravity, extending considerably our previous Rapid Communication [Phys. Rev. D 98, 021502(R) (2018)] on this topic. Using a conformal-to-Kundt metric ansatz, we arrive at…

General Relativity and Quantum Cosmology · Physics 2020-01-15 Jiri Podolsky , Robert Svarc , Vojtech Pravda , Alena Pravdova

We prove a theorem that characterizes a large family of non-static solutions to Einstein equations in $N$-dimensional space-time, representing, in general, spherically symmetric Type II fluid. It is shown that the best known Vaidya-based…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. G. Ghosh , A. K. Dawood

In this paper, we study Einstein gravity either minimally or non-minimally coupled to a vector field which breaks the gauge symmetry explicitly in general dimensions. We first consider a minimal theory which is simply the Einstein-Proca…

High Energy Physics - Theory · Physics 2018-03-14 Zhong-Ying Fan

The metric of arbitrary dimensional Schwarzschild black hole in the background of Friedman-Robertson-Walker universe is presented in the cosmic coordinates system. In particular, the arbitrary dimensional Schwarzschild-de Sitter metric is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Chang Jun Gao

We extent our previous study on spherically symmetric braneworld solutions with induced gravity, including non-local bulk effects. We find the most general static four-dimensional black hole solutions with g_{tt}=-g_{rr}^{-1}. They satisfy…

High Energy Physics - Theory · Physics 2008-11-26 G. Kofinas , E. Papantonopoulos , V. Zamarias

Recently our understanding of black holes in D-spacetime dimensions, as solutions of the Einstein equation, has advanced greatly. Besides the well established spherical black hole we have now explicitly found other species of topologies of…

High Energy Physics - Theory · Physics 2010-03-12 Maria J. Rodriguez

An exact and analytical solution of four dimensional vacuum General Relativity representing a system of two static black holes at equilibrium is presented. The metric is completely regular outside the event horizons, both from curvature and…

General Relativity and Quantum Cosmology · Physics 2023-08-22 Marco Astorino , Adriano Viganò

Anti-self-dual (ASD) 4-dimensional complex Einstein spaces with nonzero cosmological constant $\Lambda$ equipped with a nonnul Killing vector are considered. It is shown, that any conformally nonflat metric of such spaces can be always…

Mathematical Physics · Physics 2016-02-10 Adam Chudecki

We study black hole solutions in the Einstein-Gauss-Bonnet gravity with the dilaton and a negative ``cosmological constant''. We derive the field equations for the static spherically symmetric ($k=1$) and hyperbolically symmetric ($k=-1$)…

High Energy Physics - Theory · Physics 2009-08-11 Nobuyoshi Ohta , Takashi Torii

Validating the results of [A.M. Abrahams and C.R. Evans, Phys. Rev. Lett. 70, 2980] poses a numerical challenge and has been inspiring a lot of research. We join these efforts and present our first steps to achieve this goal: we discuss a…

General Relativity and Quantum Cosmology · Physics 2025-05-28 Andrzej Rostworowski

Equations of divergence type in static spacetimes play a significant role in the proof of uniqueness theorems of black holes. We generalize the divergence equation originally discovered by Robinson in four dimensional vacuum spacetimes into…

General Relativity and Quantum Cosmology · Physics 2018-08-08 Masato Nozawa , Tetsuya Shiromizu , Keisuke Izumi , Sumio Yamada

We study static spherically symmetric solutions of Einstein gravity plus an action polynomial in the Ricci scalar, $R$, of arbitrary degree, $n$, in arbitrary dimension, $D$. The global properties of all such solutions are derived by…

High Energy Physics - Theory · Physics 2010-11-19 S. Mignemi , D. L. Wiltshire