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We find a new family of galactic metrics corresponding to flat rotation curves at the outer radii. These are vacuum solutions to a gravity theory where the Newton's coupling varies mildly in space. The effective `mass', whose origin is…

General Relativity and Quantum Cosmology · Physics 2025-05-08 Rounak Chakraborty , Sandipan Sengupta

We construct explicit rotating solutions in Einstein's theory of relativity with a minimally coupled free scalar field rederiving and finding solutions in four or five spacetime dimensions. These spacetimes describe, in particular, the…

General Relativity and Quantum Cosmology · Physics 2025-06-18 José Barrientos , Christos Charmousis , Adolfo Cisterna , Mokhtar Hassaine

Recent astrophysical data indicate that our universe might currently be in a de Sitter (dS) phase. The importance of dS space has been primarily ignited by the study of the inflationary model of the universe and the quantum gravity. As we…

General Physics · Physics 2013-01-15 Mohsen Fathi

We study a class of constant scalar invariant (CSI) spacetimes, which belong to the higher-dimensional Kundt class, that are solutions of supergravity. We review the known CSI supergravity solutions in this class and we explicitly present a…

High Energy Physics - Theory · Physics 2008-12-17 A. Coley , A. Fuster , S. Hervik

A class of exact solutions of Einstein's equations is presented which describes accelerating photon rockets in de Sitter and anti-de Sitter universe. These are particular members of the Robinson-Trautman family of axially symmetric…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jiri Podolsky

The field equations of noncommutative gravity can be obtained by replacing all exterior products by twist-deformed exterior products in the action functional of general relativity, and are here studied by requiring that the torsion 2-form…

High Energy Physics - Theory · Physics 2015-06-18 Elisabetta Di Grezia , Giampiero Esposito , Patrizia Vitale

We present an exact solution of Einstein's equation that describes the gravitational shockwave of a massless particle on the horizon of a Kerr-Newman black hole. The backreacted metric is of the generalized Kerr-Schild form and is Type II…

General Relativity and Quantum Cosmology · Physics 2019-02-06 Yoni BenTov , Joe Swearngin

We study the stability under linear perturbations of a class of static solutions of Einstein-Gauss-Bonnet gravity in $D=n+2$ dimensions with spatial slices of the form $\Sigma_{\k}^n \times {\mathbb R}^+$, $\Sigma_{\k}^n$ an $n-$manifold of…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Gustavo Dotti , Reinaldo J. Gleiser

Previously known exactly solvable models of 2D semiclassical dilaton gravity admit, in the general case, only non-extreme black holes. It is shown that there exist exceptional degenerate cases, that can be obtained by some limiting…

High Energy Physics - Theory · Physics 2017-08-23 O. B. Zaslavskii

We derive the exact gravitational wave solutions in a general class of quadratic metric-affine gauge gravity models. The Lagrangian includes all possible linear and quadratic invariants constructed from the torsion, nonmetricity and the…

General Relativity and Quantum Cosmology · Physics 2021-01-14 Alejandro Jiménez-Cano , Yuri N. Obukhov

We present new exact solutions of the warped spherical compactifications in the higher-dimensional gravitational theory coupled to scalar and several form field strengths. We find two classes of solutions. One has a de Sitter spacetime with…

High Energy Physics - Theory · Physics 2013-04-09 Masato Minamitsuji , Kunihito Uzawa

In contrast to Einstein's theory, the first order formulation of gravity turns out to be a natural habitat for double-sheeted spacetime solutions which satisfy the vacuum field equations everywhere. These bridge-like geometries exhibit…

General Relativity and Quantum Cosmology · Physics 2018-06-29 Sandipan Sengupta

A special-relativistic scalar-vector theory of gravitation is presented which mimics an important class of solutions of Einstein's gravitational field equations. The theory includes solutions equivalent to Schwarzschild, Kerr,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 H. Goenner , M. Leclerc

We show that tensoriality constraints in noncommutative Riemannian geometry in the 2-dimensional bicrossproduct model quantum spacetime algebra [x,t]=\lambda x drastically reduce the moduli of possible metrics g up to normalisation to a…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Edwin Beggs , Shahn Majid

We obtain an explicit solution of the 5d Einstein equations in a dilaton background model. We demonstrate that for each metric ansatz that only depends on the extra coordinate, it is possible to uniquely determine the dilaton field and its…

High Energy Physics - Phenomenology · Physics 2009-02-19 W. de Paula , T. Frederico , H. Forkel , M. Beyer

In this paper, we provide a vacuum solution with torsion in quadratic Riemann-curvature gravity. Physically, the solution means that vacuum can have a nonzero vacuum field with large torsion. We show that the Einstein-Hilbert action can be…

High Energy Physics - Theory · Physics 2012-09-04 Kouzou Nishida

We analyze a class of exact type II solutions of the Robinson-Trautman family which contain pure radiation and (possibly) a cosmological constant. It is shown that these spacetimes exist for any sufficiently smooth initial data, and that…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jiri Podolsky , Otakar Svitek

We study modified $f(R,(\nabla R)^2,\square R)$ gravity and show in detail how it can be reduced to Einstein gravity with a few scalar fields and then represented in the form of chiral self-gravitating model of the special type. In further…

General Relativity and Quantum Cosmology · Physics 2024-10-10 Tatyana Chaadaeva , Sergey Chervon

We show that in the framework of R^{2} gravity and in the linearized approach it is possible to obtain spherically symmetric stationary states that can be used as a model for galaxies. The model can also help to have a better understanding…

General Relativity and Quantum Cosmology · Physics 2011-12-13 Christian Corda , Herman J. Mosquera Cuesta , Roberto Lorduy Gòmez

We consider a general class of quantum gravity-inspired, modified gravity theories, where the Einstein-Hilbert action is extended through the addition of all terms quadratic in the curvature tensor coupled to scalar fields with standard…

General Relativity and Quantum Cosmology · Physics 2016-04-12 Kent Yagi , Leo C. Stein , Nicolas Yunes , Takahiro Tanaka