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We present a novel theory of gravity, namely, an extension of symmetric teleparallel gravity. This is done by introducing a new class of theories where the nonmetricity $Q$ is coupled nonminimally to the matter Lagrangian. This nonminimal…

General Relativity and Quantum Cosmology · Physics 2019-01-04 Francisco S. N. Lobo , Tiberiu Harko , Tomi S. Koivisto , Gonzalo J. Olmo , Diego Rubiera-Garcia

We analyze seven different viable $f(R)$-gravities towards the Solar System tests and stochastic gravitational waves background. The aim is to achieve experimental bounds for the theory at local and cosmological scales in order to select…

High Energy Physics - Theory · Physics 2009-09-28 S. Capozziello , M. De Laurentis , S. Nojiri , S. D. Odintsov

We consider f(R,T) modified theories of gravity, where the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar R and of the trace of the stress-energy tensor T. We obtain the gravitational field equations in the…

General Relativity and Quantum Cosmology · Physics 2011-07-14 Tiberiu Harko , Francisco S. N. Lobo , Shin'ichi Nojiri , Sergei D. Odintsov

Modified gravity has attracted much attention over the last few years and remains a potential candidate for dark energy. In particular, the so-called viable f(R) gravity theories, which are able to both recover General Relativity (GR) and…

General Relativity and Quantum Cosmology · Physics 2016-04-20 Alvaro de la Cruz-Dombriz , Peter K. S. Dunsby , Sulona Kandhai , Diego Saez-Gomez

We discuss in some detail the properties of gravity (including f(R)-gravity) coupled to non-standard nonlinear gauge field system containing a square root of the usual Maxwell Lagrangian. The latter is known to produce in flat spacetime a…

High Energy Physics - Theory · Physics 2016-11-29 Eduardo Guendelman , Alexander Kaganovich , Emil Nissimov , Svetlana Pacheva

The nonrenormalizable singularity of the gravitational 1/r potential at ralativistic and quantum levels is a longstanding problem of modern physics. The problem is discussed in Relativistic Lagrangean framework with the variable proper…

General Physics · Physics 2007-05-23 Anatoli Vankov

We consider possible signatures for the so called {\it hybrid gravity} within the Galactic Central Parsec. This modified theory of gravity consists of a superposition of the metric Einstein-Hilbert Lagrangian with an $f(R)$ term constructed…

General Relativity and Quantum Cosmology · Physics 2016-04-20 D. Borka , S. Capozziello , P. Jovanović , V. Borka Jovanović

We show that the existence of the Newtonian limit cannot work as a selection rule for choosing the correct gravity theory fromm the set of all L=f(R) ones. To this end we prove that stability of the ground state solution in arbitrary purely…

General Relativity and Quantum Cosmology · Physics 2008-12-19 Leszek M. Sokolowski

We present a phenomenological analysis of current observational constraints on classes of FLRW cosmological models in which the matter side of Einstein's equations includes, in addition to the canonical term, a term proportional to some…

Cosmology and Nongalactic Astrophysics · Physics 2022-01-04 E. -A. Kolonia , C. J. A. P. Martins

Corrections to Newton's gravitational law inspired by extra dimensional physics and by the exchange of light and massless elementary particles between the atoms of two macrobodies are considered. These corrections can be described by the…

General Relativity and Quantum Cosmology · Physics 2015-06-25 V. M. Mostepanenko

In this work we revisit the study of the gravitational interaction in the context of the Special Theory of Relativity. It is found that, as long as the equivalence principle is respected, a relativistic non-linear energy conservation…

General Relativity and Quantum Cosmology · Physics 2015-05-05 Ginés R. Pérez Teruel

Models of particle physics with Noncommutative Geometry (NCG) generally suffer from a manifestly non-Wilsonian coupling of infrared and ultraviolet degrees of freedom known as the "IR/UV Problem" which would tend to compromise their…

High Energy Physics - Theory · Physics 2015-05-13 N. Kersting , J. Yan

In this work we study how nonminimally coupled theories of gravity modify the usual Friedmann equation, and develop two methods to treat these. The ambiguity in the form of the Lagrangian density of a perfect fluid is emphasized, and the…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Orfeu Bertolami , Jorge Páramos

It is well known that, making the Abelian projection of Einstein's theory one can obtain the restricted gravity which is simpler than Einstein's theory but describes the core dynamics of Einstein's gravity. In this paper we present the…

General Relativity and Quantum Cosmology · Physics 2025-03-10 S. H. Oh , Sangwoo Kim , Y. M. Cho

We consider an extended theory of gravity with Lagrangian $\mathcal{L} = f(R,{\bf T}^{(n)})$, with ${\bf T}^{(n)}$ being a $2n$-th order invariant made of contractions of the energy-momentum tensor. When $n=1$ this theory reduces to…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Habib Abedi , Francesco Bajardi , Salvatore Capozziello

The coupling of gravity to a scalar field raises a number of interesting questions of principle since the usual minimal coupling obtained by replacing ordinary derivatives with covariant derivatives is not available -- they are the same…

General Relativity and Quantum Cosmology · Physics 2011-10-26 Y. N. Srivastava , J. Swain , A. Widom

A general analytic procedure is developed for the post-Newtonian limit of $f(R)$-gravity with metric approach in the Jordan frame by using the harmonic gauge condition. In a pure perturbative framework and by using the Green function method…

General Relativity and Quantum Cosmology · Physics 2014-11-20 A. Stabile

Theories with a non-minimal coupling between the space-time curvature and matter fields introduce an extra force due to the non-conservation of the matter energy momentum. In the present work the theoretical consistency of such couplings is…

General Relativity and Quantum Cosmology · Physics 2013-10-02 Nicola Tamanini , Tomi S. Koivisto

Gravitational double layers, unlike their classical electromagnetic counterparts, are thought to be forbidden in gravity theories. It has been recently shown, however, that they are feasible in, for instance, gravity theories with a…

General Relativity and Quantum Cosmology · Physics 2015-05-20 José M. M. Senovilla

We briefly outline several main results concerning various new physically relevant features found in gravity -- both ordinary Einstein or $f(R)=R+R^2$ gravity in the first-order formalism, coupled to a special kind of nonlinear…

High Energy Physics - Theory · Physics 2013-11-15 Eduardo Guendelman , Alexander Kaganovich , Emil Nissimov , Svetlana Pacheva