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New theorems about the existence of solution for a system of infinite linear equations with a Vandermonde type matrix of coefficients are proved. Some examples and applications of these results are shown. In particular, a kind of these…

General Relativity and Quantum Cosmology · Physics 2015-06-17 J. L. Hernandez-Pastora

We develop a new covariant formalism to treat spherically symmetric spacetimes in metric} f(R) theories of gravity. Using this formalism we derive the general equations for a static and spherically symmetric metric in a general…

General Relativity and Quantum Cosmology · Physics 2010-04-22 Anne Marie Nzioki , Sante Carloni , Rituparno Goswami , Peter K. S. Dunsby

Cylindrically-symmetric solutions in Conformal Gravity are investigated and several new solutions are presented and discussed. Among them, a family of vacuum solutions, generalizations of the Melvin solution and cosmic strings of the…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Y. Brihaye , Y. Verbin

We perform the generalised dimensional reduction of D=11 supergravity over three-dimensional group manifolds as classified by Bianchi. Thus, we construct eleven different maximal D=8 gauged supergravities, two of which have an additional…

High Energy Physics - Theory · Physics 2009-11-10 Eric Bergshoeff , Ulf Gran , Roman Linares , Mikkel Nielsen , Tomas Ortin , Diederik Roest

We study solutions of Einstein's equations corresponding codimension n>2 global topological defects with de Sitter slices. We analyze a class of solutions that are cylindrically symmetric and admit positive, negative or zero bulk…

High Energy Physics - Theory · Physics 2009-11-10 I. Olasagasti , K. Tamvakis

The classification of certain class of static solutions for the Einstein-Gauss-Bonnet theory in vacuum is presented. The spacelike section of the class of metrics under consideration is a warped product of the real line with a nontrivial…

High Energy Physics - Theory · Physics 2009-04-24 Gustavo Dotti , Julio Oliva , Ricardo Troncoso

We get the general static, spherically symmetric solutions of the d-dimensional Einstein-Maxwell-Dilaton theories by dimensionally reducing them to a class of 2-dimensional dilaton gravity theories. By studying the symmetries of the actions…

High Energy Physics - Theory · Physics 2010-11-19 Youngjai Kiem , Dahl Park

We summarize some our recent results on encoding exact solutions of field equations in Einstein and modified gravity theories into solitonic hierarchies derived for nonholonomic curve flows with associated bi-Hamilton structure. We argue…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Sergiu I. Vacaru

The multidimensional gravity on the total space of principal bundle is considered. In this theory the gauge fields arise as nondiagonal components of multidimensional metric. The spherically symmetric and cosmology solutions for gravity on…

General Relativity and Quantum Cosmology · Physics 2015-06-25 V. D. Dzhunushaliev

We show that Schwarzschild geometry remains as a vacuum solution for those four-dimensional f(T) gravitational theories behaving as ultraviolet deformations of general relativity. In the gentler context of three-dimensional gravity, we also…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Rafael Ferraro , Franco Fiorini

All purely bosonic supersymmetric solutions of minimal supergravity in five dimensions are classified. The solutions preserve either one half or all of the supersymmetry. Explicit examples of new solutions are given, including a large…

High Energy Physics - Theory · Physics 2009-11-07 Jerome P. Gauntlett , Jan B. Gutowski , Christopher M. Hull , Stathis Pakis , Harvey S. Reall

The possibility of spherically symmetric solutions in bi-metric theory of gravity is examined. It is shown that two possible black hole type solutions exists in the model. Spherically symmetric solution of general theory of relativity is…

General Relativity and Quantum Cosmology · Physics 2014-03-28 Anoop Narayanan P E , P K Suresh

We report a new family of solutions to Einstein-Maxwell-dilaton gravity in 2+1 dimensions and Einstein-Maxwell gravity with cylindrical symmetry in 3+1 dimensions. A set of static charged solutions in 2+1 dimensions are obtained by a…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Sharmanthie Fernando

The main purpose of this paper is to investigate the exact solutions of cylindrically symmetric spacetime in the context of $f(R,T)$ gravity [1], where $f(R,T)$ is an arbitrary function of Ricci scalar $R$ and trace of the energy momentum…

General Relativity and Quantum Cosmology · Physics 2015-07-01 M. Farasat Shamir , Zahid Raza

We find a complete characterization of all the supersymmetric solutions of non-Abelian gauged N=1,d=5 supergravity coupled to vector multiplets and hypermultiplets: the generic forms of the metrics as functions of the scalars and vector…

High Energy Physics - Theory · Physics 2008-11-26 Jorge Bellorin , Tomas Ortin

We analyze the asymptotic solutions of Chiral Gravity (Topologically Massive Gravity at \mu l = 1 with Brown-Henneaux boundary conditions) focusing on non-Einstein metrics. A class of such solutions admits curvature singularities in the…

High Energy Physics - Theory · Physics 2014-11-21 Geoffrey Compère , Sophie de Buyl , Stéphane Detournay

Constant-curvature solutions lie at the very core of gravitational physics, with Schwarzschild and (Anti)-de Sitter being two of the most paradigmatic examples. Although such kind of solutions are very well-known in General Relativity, that…

General Relativity and Quantum Cosmology · Physics 2023-03-06 Adrián Casado-Turrión , Álvaro de la Cruz-Dombriz , Antonio Dobado

We consider the conformal group of a space of dim n=p+q, with SO(p,q) metric. The quotient of this group by its homogeneous Weyl subgroup gives a principal fiber bundle with 2n-dim base manifold and Weyl fibers. The Cartan generalization to…

General Relativity and Quantum Cosmology · Physics 2019-05-03 James T Wheeler

Generalised Scherk-Schwarz reductions in which compactification on a circle is accompanied by a twist with an element of a global symmetry G typically lead to gauged supergravities and are classified by the monodromy matrices, up to…

High Energy Physics - Theory · Physics 2010-11-19 C. M. Hull

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