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Spherical reduction of generic four-dimensional theories is revisited. Three different notions of "spherical symmetry" are defined. The following sectors are investigated: Einstein-Cartan theory, spinors, (non-)abelian gauge fields and…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Herbert Balasin , Christian G. Boehmer , Daniel Grumiller

We discuss, in the context of alternative theories of gravity with nonminimal coupling between matter and curvature, if inflationary solutions driven by a single scalar field can be reconciled with the swampland conjectures about the…

General Relativity and Quantum Cosmology · Physics 2023-04-19 Orfeu Bertolami , Cláudio Gomes , Paulo M. Sá

We study the three dimensional Einstein gravity conformally coupled to a scalar field. Solutions of this theory are geometries with vanishing scalar curvature. We consider solutions with a constant scalar field which corresponds to an…

High Energy Physics - Theory · Physics 2012-11-08 M. Hasanpour , F. Loran , H. Razaghian

Einstein gravity at $D\rightarrow 2$ limit can be obtained from the Kaluza-Klein procedure by taking the dimensions of the internal space to zero while keeping only the breathing mode. The resulting scalar-tensor theory can be further…

High Energy Physics - Theory · Physics 2023-03-29 Qi-Yuan Mao , H. Lu

We naturally extend the theory of gravity with a conformally coupled scalar field by only requiring conformal invariance of the scalar field equation of motion and not of the action. The classically extended theory incorporates a…

General Relativity and Quantum Cosmology · Physics 2021-06-07 Pedro G. S. Fernandes

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

We study two large classes of alternative theories, modifying the action through algebraic, quadratic curvature invariants coupled to scalar fields. We find one class that admits solutions that solve the vacuum Einstein equations and…

General Relativity and Quantum Cosmology · Physics 2011-05-12 Nicolas Yunes , Leo C. Stein

We study the constraint equations for the Einstein-scalar field system on compact manifolds. Using the conformal method we reformulate these equations as a determined system of nonlinear partial differential equations. By introducing a new…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Yvonne Choquet-Bruhat , James Isenberg , Daniel Pollack

Recently Horava proposed a non-relativistic renormalisable theory of gravitation, which reduces to Einstein's general relativity at large distances, and that may provide a candidate for a UV completion of Einstein's theory. In this paper,…

High Energy Physics - Theory · Physics 2009-09-02 H. Lu , Jianwei Mei , C. N. Pope

A general form for the equation of motion for higher-curvature gravity is obtained. The interesting feature of the analysis is that it can handle Lagrangians which contain non-minimal kinetic scalar couplings. Certain subtle features, which…

General Relativity and Quantum Cosmology · Physics 2015-01-22 Saugata Chatterjee

We generalize the scale invariant gravity by allowing a negative kinetic energy term for the classical scalar field. This gives birth to a new scalar-tensor theory of gravity, in which the scalar field is in fact an auxiliary field. For a…

High Energy Physics - Theory · Physics 2007-05-23 Shih-Yuin Lin , Kin-Wang Ng

In 1993, a proof was published, within ``Classical and Quantum Gravity,'' that there are no regular solutions to the {\it linearized} version of the twisting, type-N, vacuum solutions of the Einstein field equations. While this proof is…

General Relativity and Quantum Cosmology · Physics 2012-08-27 J. D. Finley , III , J. F. Plebański , Maciej Przanowski

The present paper extends two previous one's on pure gravity dealing with Einstein-Hilbert and higher derivatives by including a massless scalar field as representative of matter. We study the renormalization to all orders of perturbation…

High Energy Physics - Theory · Physics 2024-05-02 Klaus Sibold

Scalar-tensor theories are one of the most natural and well-constrained alternative theories of gravity, while still allowing for significant deviations from general relativity. We present the equations of motion of nonspinning compact…

General Relativity and Quantum Cosmology · Physics 2023-03-02 Laura Bernard

We show that the effective field equations for a recently formulated polynomial affine model of gravity, in the sector of a torsion-free connection, accept general Einstein manifolds---with or without cosmological constant---as solutions.…

General Relativity and Quantum Cosmology · Physics 2016-05-13 Oscar Castillo-Felisola , Aureliano Skirzewski

We consider the lagrangian of a self-interacting complex scalar field admitting generically Q-balls solutions. This model is extended by minimal coupling to electromagnetism and to gravity. A stationnary, axially-symmetric ansatz for the…

General Relativity and Quantum Cosmology · Physics 2009-07-07 Y. Brihaye , Th. Caebergs , T. Delsate

We obtain an approximate global stationary and axisymmetric solution of Einstein's equations which can be thought as a simple two layers star model: a self-gravitating ball built up by two layers of perfect fluid having different linear…

General Relativity and Quantum Cosmology · Physics 2018-06-12 Alfred Molina , Eduardo Ruiz

We introduce two classes of rotating solutions of Einstein-Maxwell gravity in $n+1$ dimensions which are asymptotically anti-de Sitter type. They have no curvature singularity and no horizons. The first class of solutions, which has a conic…

High Energy Physics - Theory · Physics 2010-11-19 M. H. Dehghani

We have found new anisotropic vacuum solutions for the scale-invariant gravity theories which generalise Einstein's general relativity to a theory derived from the Lagrangian $R^{1+\delta}$. These solutions are expanding universes of Kasner…

General Relativity and Quantum Cosmology · Physics 2009-11-11 John D. Barrow , T. Clifton

The present paper reports interesting new features that wormhole solutions in the scalar field gravity theory have. To demonstrate these, we obtain, by using a slightly modified form of the Matos-Nunez algorithm, an extended class of…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Kamal K. Nandi , Ilnur Nigmatzyanov , Ramil Izmailov , Nail G. Migranov