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We construct a new class of solutions to the dispersionless hyper--CR equation, and show how any solution to this equation gives rise to a supersymmetric Einstein--Maxwell cosmological space--time in $(3+1)$--dimensions.

Mathematical Physics · Physics 2018-04-04 Maciej Dunajski , Jan Gutowski , Wafic Sabra

Einstein's field equations with cosmological constant are analysed for a static, spherically symmetric perfect fluid having constant density. Five new global solutions are described. One of these solutions has the Nariai solution joined on…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Christian G. Boehmer

We study maximally supersymmetric solutions of all gauged or deformed supergravity theories in $D \ge 3$ space-time dimensions. For vanishing background fluxes the space-time background has to be either Minkowski or anti-de Sitter. We…

High Energy Physics - Theory · Physics 2017-03-08 Jan Louis , Severin Lust

Under a weak assumption of the existence of a geodesic null congruence, we present the general solution of the Einstein field equations in three dimensions with any value of the cosmological constant, admitting an aligned null matter field,…

General Relativity and Quantum Cosmology · Physics 2021-08-09 Jiri Podolsky , Robert Svarc , Hideki Maeda

We study exact vacuum solutions to quadratic gravity (QG) of the Weyl types N and III. We show that in an arbitrary dimension all Einstein spacetimes of the Weyl type N with an appropriately chosen effective cosmological constant $\Lambda$…

General Relativity and Quantum Cosmology · Physics 2011-08-12 Tomáš Málek , Vojtěch Pravda

We study gravitational theory in 1+2 spacetime dimensions which is determined by the Lagrangian constructed as a sum of the Einstein-Hilbert term plus the two (translational and rotational) gravitational Chern-Simons terms. When the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Yuri N. Obukhov

We construct a new SO(3)$\times$SO(3) invariant non-supersymmetric solution of the bosonic field equations of $D=11$ supergravity from the corresponding stationary point of maximal gauged $N=8$ supergravity by making use of the non-linear…

High Energy Physics - Theory · Physics 2015-06-23 Hadi Godazgar , Mahdi Godazgar , Olaf Krueger , Hermann Nicolai , Krzysztof Pilch

We derive a new class of exact time dependent solutions in a warped six dimensional supergravity model. Under the assumptions we make for the form of the underlying moduli fields, we show that the only consistent time dependent solutions…

High Energy Physics - Theory · Physics 2009-04-17 Edmund J. Copeland , Osamu Seto

We investigate the existence of inhomogeneous Szekeres spacetimes in Einstein-\ae ther theory. We show that inhomogeneous solutions which can be seen as extension of the Szekeres solutions existing in Einstein-\ae ther gravity only for a…

General Relativity and Quantum Cosmology · Physics 2020-06-17 Andronikos Paliathanasis

We describe in superspace a classical theory of two dimensional $(1,1)$ dilaton supergravity with a cosmological constant, both with and without coupling to a massive superparticle. We give general exact non-trivial superspace solutions for…

High Energy Physics - Theory · Physics 2009-10-31 M. E. Knutt-Wehlau , R. B. Mann

We construct time dependent S-brane solutions in gauged and ungauged supergravities in various dimensions. The supergravity solutions we find are all special cases of solutions in gauged supergravities with symmetric potentials. We discuss…

High Energy Physics - Theory · Physics 2009-11-10 Michael Gutperle , Wafic Sabra

We show that the recently obtained class of spacetimes for which all of the scalar curvature invariants vanish (which can be regarded as generalizations of pp-wave spacetimes) are exact solutions in string theory to all perturbative orders…

High Energy Physics - Theory · Physics 2009-11-07 A. A. Coley

We consider Einstein Gravity coupled to dynamical matter consisting of a gauge field with any compact gauge group and minimally coupled scalar fields. We investigate the conditions under which a free specification of a spatial field…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Domenico Giulini

We consider Melvin-like cosmological and static solutions for the theories of ${\cal N}=2$, $D=4$ supergravity coupled to vector multiplets. We analyze the equations of motion and give some explicit solutions with one scalar and two gauge…

High Energy Physics - Theory · Physics 2023-06-08 W. A. Sabra

In this paper we perform systematic investigation of all possible solutions with static compact extra dimensions and expanding three-dimensional subspace (``our Universe''). Unlike previous papers, we consider extra-dimensional subspace to…

General Relativity and Quantum Cosmology · Physics 2021-04-22 Dmitry Chirkov , Alex Giacomini , Sergey A. Pavluchenko , Alexey Toporensky

We construct the N=1 three-dimensional supergravity theory with cosmological, Einstein-Hilbert, Lorentz Chern-Simons, and general curvature squared terms. We determine the general supersymmetric configuration, and find a family of…

High Energy Physics - Theory · Physics 2010-01-06 Roel Andringa , Eric A. Bergshoeff , Mees de Roo , Olaf Hohm , Ergin Sezgin , Paul K. Townsend

We study static spherically symmetric Kundt solutions to the vacuum field equations of quadratic gravity with a cosmological constant, as well as specific models of six-derivative gravity. In quadratic gravity, we identify all solutions for…

General Relativity and Quantum Cosmology · Physics 2026-05-15 Breno L. Giacchini , Ivan Kolář , Vojtěch Pravda , Alena Pravdová

We review the properties of classical p-brane solutions to supergravity theories, i.e. solutions that may be interpreted as Poincare-invariant hyperplanes in spacetime. Topics covered include the distinction between elementary/electric and…

High Energy Physics - Theory · Physics 2008-02-03 K. S. Stelle

We find the comlete solution to ten-dimensional supergravity coupled to a three-form field strength, given the ``standard ansatz" for the fields, and show that in addition to the well-known elementary and solitonic (heterotic) string…

High Energy Physics - Theory · Physics 2016-12-21 Anna Tollsten

In this paper we provide a method capable of producing an infinite number of solutions for Einstein's equation on static spacetimes with perfect fluid as a matter field. All spacetimes of this type which are symmetric with respect to a…

Differential Geometry · Mathematics 2018-02-08 Marcelo Barbosa , Benedito Leandro , Romildo Pina
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