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Related papers: Dynamics of test bodies in scalar-tensor theory an…

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We present a direct confirmation of the validity of the equivalence principle for unstructured test bodies in scalar tensor gravity. Our analysis is complementary to previous approaches and valid for a large class of scalar-tensor theories…

General Relativity and Quantum Cosmology · Physics 2015-10-21 Dirk Puetzfeld , Yuri N. Obukhov

We discuss the dynamics of extended test bodies for a large class of scalar-tensor theories of gravitation. A covariant multipolar Mathisson-Papapetrou-Dixon type of approach is used to derive the equations of motion in a systematic way for…

General Relativity and Quantum Cosmology · Physics 2014-11-27 Yuri N. Obukhov , Dirk Puetzfeld

We investigate the motion of spinning test bodies in General Relativity. By means of a multipolar approximation method for extended test bodies we derive the equations of motion, and classify the orbital motion of pole-dipole test bodies in…

General Relativity and Quantum Cosmology · Physics 2014-10-01 Eva Hackmann , Claus Lämmerzahl , Yuri N. Obukhov , Dirk Puetzfeld , Isabell Schaffer

The motion of test bodies in gravity is tightly linked to the conservation laws. This well-known fact in the context of General Relativity is also valid for gravitational theories which go beyond Einstein's theory. Here we derive the…

General Relativity and Quantum Cosmology · Physics 2013-09-09 Dirk Puetzfeld , Yuri N. Obukhov

We give an overview of the derivation of multipolar equations of motion of extended test bodies for a wide set of gravitational theories beyond the standard general relativistic framework. The classes of theories covered range from simple…

General Relativity and Quantum Cosmology · Physics 2021-04-07 Yuri N. Obukhov , Dirk Puetzfeld

We derive the equations of motion of test bodies for a theory with nonminimal coupling by means of a multipole method. The propagation equations for pole-dipole particles are worked out for a gravity theory with a very general coupling…

Astrophysics · Physics 2008-12-30 Dirk Puetzfeld , Yuri N. Obukhov

We derive the equations of motion of an extended test body in the context of Einstein's theory of gravitation. The equations of motion are obtained via a multipolar approximation method and are given up to the quadrupolar order. Special…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Jan Steinhoff , Dirk Puetzfeld

We derive the equations of motion of an electrically neutral test particle for modified gravity theories in which the covariant divergence of the ordinary matter energy-momentum tensor dose not vanish (i.e. $\nabla_{\mu}T^{\mu\nu}\neq0$).…

General Relativity and Quantum Cosmology · Physics 2013-02-06 Mahmood Roshan

We present a covariant derivation of the equations of motion for test bodies for a wide class of gravitational theories with nonminimal coupling, encompassing a general interaction via the complete set of 9 parity-even curvature invariants.…

General Relativity and Quantum Cosmology · Physics 2013-03-05 Dirk Puetzfeld , Yuri N. Obukhov

The problem of motion for different test particles, charged and spinning objects of constant spinning tensor in different versions of bimetric theory of gravity is obtained by deriving their corresponding path and path deviation equations,…

General Relativity and Quantum Cosmology · Physics 2015-11-17 M. E. Kahil

We present a derivation of the equation of motion for a test-particle in the framework of the nonsymmetric gravitational theory. Three possible couplings of the test-particle to the non-symmetric gravitational field are explored. The…

General Relativity and Quantum Cosmology · Physics 2008-02-03 J. Legare , J. W. Moffat

We report on the explicit form of the equations of motion of pole-dipole particles for a very large class of gravitational theories. The non-Riemannian framework in which the equations are derived allows for a unified description of nearly…

General Relativity and Quantum Cosmology · Physics 2010-01-18 Dirk Puetzfeld

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 investigate the motion of test bodies with internal structure in General Relativity. With the help of a multipolar approximation method for extended test bodies we derive the equations of motion up to the quadrupolar order. The motion of…

General Relativity and Quantum Cosmology · Physics 2013-07-10 Jan Steinhoff , Dirk Puetzfeld

A covariant scalar-tensor-vector gravity theory is developed which allows the gravitational constant $G$, a vector field coupling $\omega$ and the vector field mass $\mu$ to vary with space and time. The equations of motion for a test…

General Relativity and Quantum Cosmology · Physics 2021-11-22 J. W. Moffat

Recent interest on studying possible violations of the Equivalence Principle has led to the development of space satellite missions testing it for bodies moving on circular orbits around Earth. This experiment establishes that the validity…

General Relativity and Quantum Cosmology · Physics 2018-10-04 Sergio A. Hojman , Felipe A. Asenjo

Previous work established a universal form for the equation of motion of small bodies in theories of a metric and other tensor fields that have second-order field equations following from a covariant Lagrangian in four spacetime dimensions.…

General Relativity and Quantum Cosmology · Physics 2015-06-15 Samuel E Gralla

We propose the almost-geodesic motion of self-gravitating test bodies as a possible selection rule among metric theories of gravity. Starting from a heuristic statement, the "gravitational weak equivalence principle", we build a formal,…

General Relativity and Quantum Cosmology · Physics 2014-04-14 Eolo Di Casola , Stefano Liberati , Sebastiano Sonego

Applying Dixon's general equations of motion for extended bodies, we compute the Papapetrou's equations for an extended test body on static and isotropic metrics. We incorporate the force and the torque terms which involve multipole…

General Relativity and Quantum Cosmology · Physics 2017-03-24 William Almonacid , Leonardo Castañeda

We study the scalar-tensor theory of gravity profoundly in the action level as well as in the thermodynamic level. Contrary to the usual description in the literature about the equivalence in the two conformally connected frames, this paper…

General Relativity and Quantum Cosmology · Physics 2017-05-19 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi
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