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We generalize the $f(R)$ type gravity models by assuming that the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar $R$ and of the matter Lagrangian $L_m$. We obtain the gravitational field equations in the…

General Relativity and Quantum Cosmology · Physics 2011-02-09 Tiberiu Harko , Francisco S. N. Lobo

In experimental proposals published in the last two decades, a so called frozen spin storage ring concept was proposed for setting upper experimental bounds to electric dipole moment (EDM) of elementary particles. In a recent paper of ours,…

General Relativity and Quantum Cosmology · Physics 2019-09-18 Andras Laszlo

After the first prediction to expect geodetic precession in binary pulsars in 1974, made immediately after the discovery of a pulsar with a companion, the effects of relativistic spin precession have now been detected in all binary systems…

Astrophysics of Galaxies · Physics 2010-08-31 Michael Kramer

Primordial gravitational waves constitute a promising probe of the very early Universe and the laws of gravity. We study in this work changes to tensor-mode perturbations (TMPs) that can arise in various proposed modified gravity (MG)…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-28 Weikang Lin , Mustapha Ishak

We propose a novel method for testing gravity models using seismic data from Earth. By imposing observational constraints on Earth's moment of inertia and mass, we rigorously limit the gravitational models' parameters within a $2\sigma$…

General Relativity and Quantum Cosmology · Physics 2023-08-04 Aleksander Kozak , Aneta Wojnar

The direct interaction of the 4-rotational (Lorentzian) gauge field with the angular orbital momentum of an external field is considered. This interaction appears in a new Poincar\'{e} gauge theory of gravitation, in which tetrads are not…

General Relativity and Quantum Cosmology · Physics 2014-11-20 Olga V. Babourova , Boris N. Frolov

The observed accelerated cosmic expansion can be a signature of fourth\,-\,order gravity theories, where the acceleration of the Universe is a consequence of departures from Einstein General Relativity, rather than the sign of the existence…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Vincenzo F. Cardone , Stefano Camera , Antonaldo Diaferio

How to detect spacetime torsion? In this essay we provide the theoretical basis for an answer to this question. Multipolar equations of motion for a very general class of gravitational theories with nonminimal coupling in spacetimes…

General Relativity and Quantum Cosmology · Physics 2014-09-10 Dirk Puetzfeld , Yuri N. Obukhov

We study the motion of particles in the background of a scalar-tensor theory of gravity in which the scalar field is kinetically coupled to Einstein tensor. We constrain the value of the derivative parameter $z$ through solar system tests.…

General Relativity and Quantum Cosmology · Physics 2020-12-02 P. A. González , Marco Olivares , Eleftherios Papantonopoulos , Yerko Vásquez

The best motivated alternatives to general relativity are scalar-tensor theories, in which the gravitational interaction is mediated by one or several scalar fields together with the usual graviton. The analysis of their various…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Gilles Esposito-Farese

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 derive multipolar equations of motion for gravitational theories with general nonminimal coupling in spacetimes admitting torsion. Our very general findings allow for the systematic testing of whole classes of theories by means of…

General Relativity and Quantum Cosmology · Physics 2014-10-22 Dirk Puetzfeld , Yuri N. Obukhov

We write the field equations of torsion gravity theories and the N\oe ther identity they obey directly in terms of metric and contorsion tensor components expressed with respect to natural coordinates, i.e. without using vierbien but…

General Relativity and Quantum Cosmology · Physics 2021-06-30 Philippe Spindel

We compute the corrections to the orbital Lense-Thirring effect (or frame-dragging) in the presence of spacetime torsion. We derive the equations of motion of a test body in the gravitational field of a rotating axisymmetric massive body,…

General Relativity and Quantum Cosmology · Physics 2015-05-27 Riccardo March , Giovanni Bellettini , Roberto Tauraso , Simone Dell'Agnello

Gravitomagnetism--a motional coupling of matter analogous to the Lorentz force in electromagnetism--has observable consequences for any scenario involving differing mass currents. Examples include gyroscopes located near a rotating massive…

General Relativity and Quantum Cosmology · Physics 2008-11-26 T. W. Murphy , K. Nordtvedt , S. G. Turyshev

Previous work in the literature has studied the Hamiltonian structure of an R-squared model of gravity with torsion in a closed Friedmann-Robertson-Walker universe. Within the framework of Dirac's theory, torsion is found to lead to a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Giampiero Esposito , Gabriele Gionti , Giuseppe Marmo , Cosimo Stornaiolo

Nearly fifty years after its inception, the Gravity Probe B satellite mission delivers the first measurements of how a spinning gyroscope precesses in the gravitational warping of spacetime.

General Relativity and Quantum Cosmology · Physics 2015-05-28 Clifford M. Will

We propose a cosmological model in the framework of the Poincar\'e gauge theory of gravity (PG). The gravitational Lagrangian is quadratic in curvature and torsion. In our specific model, the Lagrangian contains (i) the curvature scalar $R$…

General Relativity and Quantum Cosmology · Physics 2011-02-25 Peter Baekler , Friedrich W. Hehl , James M. Nester

In this work we present the general differential geometry of a background in which the space-time has both torsion and curvature with internal symmetries being described by gauge fields, and that is equipped to couple spinorial matter…

General Relativity and Quantum Cosmology · Physics 2022-04-20 Luca Fabbri

The aim of our investigation is to derive a particular theory among the class of scalar-tensor(ST) theories of gravity, and then to test it by studying kinematics and dynamics of S-stars around supermassive black hole (BH) at Galactic…