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A new two-parameter asymptotically flat (AF) toric gravitational instanton is identified as a special case of the Euclidean double Kerr-NUT solution, by imposing certain symmetry and regularity conditions on its rod structure. These…

General Relativity and Quantum Cosmology · Physics 2026-05-28 Edward Teo

Asymptotically locally AdS and asymptotically flat black hole solutions are found for a particular case of the Horndeski action. The action contains the Einstein-Hilbert term with a cosmological constant, a real scalar field with a non…

General Relativity and Quantum Cosmology · Physics 2014-04-23 Adolfo Cisterna , Cristián Erices

We show that the system of vacuum Einstein equations (i.e., Ricci-flat metrics) with two hypersurface-orthogonal, commuting Killing vector fields in $d \ge 5$ dimensions is invariant under the action of a one-parameter Lie group, and the…

General Relativity and Quantum Cosmology · Physics 2025-02-18 M. M. Akbar , M. Self

We classify solutions to Einstein's equations in AdS with Ricci-flat boundary metric and with covariantly constant boundary stress tensor, which in general is not diagonalizable, i.e. it does not admit a reference frame. New solutions are…

General Relativity and Quantum Cosmology · Physics 2017-01-30 Paolo Glorioso

A complete characterization is obtained of the asymptotic behavior of solutions of the static vacuum Einstein equations which have a (pseudo)-compact horizon or boundary and are complete away from the boundary. It is proved that the…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Michael T. Anderson

Ricci-flat solutions to Einstein's equations in four dimensions are obtained as the flat limit of Einstein spacetimes with negative cosmological constant. In the limiting process, the anti-de Sitter energy--momentum tensor is expanded in…

High Energy Physics - Theory · Physics 2023-12-19 Andrea Campoleoni , Arnaud Delfante , Simon Pekar , P. Marios Petropoulos , David Rivera-Betancour , Matthieu Vilatte

We examine the correspondence between QFT observables and bulk solutions in the context of AdS/CFT in the limit as the cosmological constant $\Lambda \to 0$. We focus specifically on the spacetime metric and a non-backreacting scalar in the…

High Energy Physics - Theory · Physics 2014-11-26 R. N. Caldeira Costa

In this paper, we derive the consistent thermodynamics of the four-dimensional Lorentzian charged Reissner-Nordstr\"om-NUT (RN-NUT), Kerr-Newman-NUT (KN-NUT), and RN-NUT-AdS spacetimes in the framework of the ($\psi-\mathcal{N}$)-pair…

General Relativity and Quantum Cosmology · Physics 2023-07-12 Di Wu

We find new non-supersymmetric solutions of five-dimensional ungauged supergravity coupled to two vector multiplets. The solutions are regular, horizonless and have the same asymptotic charges as non-extremal charged black holes. An…

High Energy Physics - Theory · Physics 2013-02-19 Nikolay Bobev , Clement Ruef

It is shown that the class of asymptotically flat solutions to the axisymmetric and stationary vacuum Einstein equations with reflection symmetry of the metric is uniquely characterized by a simple relation for the Ernst potential on the…

General Relativity and Quantum Cosmology · Physics 2010-12-23 R. Meinel , G. Neugebauer

Let G be a nontrivial finite subgroup of U(m) acting freely on C^m - 0. Then C^m/G has an isolated quotient singularity at 0. Let X be a resolution of C^m/G, and g a Kahler metric on X. We say that g is Asymptotically Locally Euclidean…

Algebraic Geometry · Mathematics 2007-05-23 Dominic Joyce

A new method is proposed, that establishes a one to one correspondance between the whole set of static axially symmetric vacuum GR solutions and a specific class of stationary axially symmetric scalar-Einstein solutions having a given mass…

General Relativity and Quantum Cosmology · Physics 2019-07-31 Bertrand Chauvineau

We present a new class of solutions in odd dimensions to Einstein's equations containing either a positive or negative cosmological constant. These solutions resemble the even-dimensional Eguchi-Hanson--(anti)-de Sitter ((A)dS) metrics,…

High Energy Physics - Theory · Physics 2008-11-26 R. Clarkson , R. B. Mann

In this article we study self-gravitating static solutions of the Einstein-ScalarField system in arbitrary dimensions. We discuss the existence and the non-existence of geodesically complete solutions depending on the form of the scalar…

General Relativity and Quantum Cosmology · Physics 2016-02-02 Martin Reiris

We construct new solutions of the vacuum Einstein field equations with cosmological constant. These solutions describe spacetimes with non-trivial topology that are asymptotically dS, AdS or flat. For a negative cosmological constant these…

High Energy Physics - Theory · Physics 2009-11-10 Robert Mann , Cristian Stelea

We present a new class of asymptotically flat charge static solutions in third order Lovelock gravity. These solutions present black hole solutions with two inner and outer event horizons, extreme black holes or naked singularities provided…

High Energy Physics - Theory · Physics 2009-11-11 M. H. Dehghani , M. Shamirzaie

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

An explicit one-parameter Lie point symmetry of the four-dimensional vacuum Einstein equations with two commuting hypersurface-orthogonal Killing vector fields is presented. The parameter takes values over all of the real line and the…

General Relativity and Quantum Cosmology · Physics 2015-10-07 M. M. Akbar , M. A. H. MacCallum

We disprove the Euclidean Einstein--Maxwell Black Hole Uniqueness Conjecture, and thus demonstrate that the semi-classical properties of coupled gravitational and electromagnetic fields are more subtle than expected from Lorentzian general…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Bernardo Araneda , Maciej Dunajski

It is shown that there exist families of asymptotically flat solutions of the Einstein equations coupled to the Vlasov equation describing a collisionless gas which have a Newtonian limit. These are sufficiently general to confirm that for…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Alan D. Rendall
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