6,219 research outputs found
Conservation laws in gravity: A unified framework
We study general metric-affine theories of gravity in which the metric and
connection are the two independent fundamental variables. In this framework, we
use Lagrange-Noether methods to derive the identities and the conservation laws
that correspond to the invariance of the action under general coordinate
transformations. The results obtained are applied to generalized models with
nonminimal coupling of matter and gravity, with a coupling function that
depends arbitrarily on the covariant gravitational field variables.Comment: 9 pages, 1 figure, RevTex format. arXiv admin note: text overlap with
arXiv:1303.605
Equations of motion in metric-affine gravity: A covariant unified framework
We derive the equations of motion of extended deformable bodies in
metric-affine gravity. The conservation laws which follow from the invariance
of the action under the general coordinate transformations are used as a
starting point for the discussion of the dynamics of extended deformable test
bodies. By means of a covariant approach, based on Synge's world function, we
obtain the master equation of motion for an arbitrary system of coupled
conserved currents. This unified framework is then applied to metric-affine
gravity. We confirm and extend earlier findings; in particular, we once again
demonstrate that it is only possible to detect the post-Riemannian spacetime
geometry by ordinary (non-microstructured) test bodies if gravity is
nonminimally coupled to matter.Comment: 13 pages, RevTex format. Dedicated to Friedrich W. Hehl on the
occasion of his birthda
Generalized deviation equation and determination of the curvature in General Relativity
We derive a generalized deviation equation -- analogous to the well-known
geodesic deviation equation -- for test bodies in General Relativity. Our
result encompasses and generalizes previous extensions of the standard geodesic
deviation equation. We show how the standard as well as a generalized deviation
equation can be used to measure the curvature of spacetime by means of a set of
test bodies. In particular, we provide exact solutions for the curvature by
using the standard deviation equation as well as its next order generalization.Comment: 16 pages, 5 figures, RevTex forma
Equations of motion in scalar-tensor theories of gravity: A covariant multipolar approach
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 both Jordan and Einstein formulations of these
theories. The results obtained provide the framework to experimentally test
scalar-tensor theories by means of extended test bodies.Comment: 5 pages, RevTex forma
Prospects of detecting spacetime torsion
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
admitting torsion are given. Our findings provide a framework for the
systematic testing of whole classes of theories with the help of extended test
bodies. One surprising feature of nonminimal theories turns out to be their
potential sensitivity to torsion of spacetime even in experiments with ordinary
(not microstructured) test matter.Comment: 6 pages, this essay received a honorable mention in the 2014 essay
competition of the Gravity Research Foundatio
Equivalence principle in scalar-tensor gravity
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 of gravitation. A covariant approach is used to derive
the equations of motion in a systematic way and allows for the experimental
test of scalar-tensor theories by means of extended test bodies.Comment: 5 pages, RevTex forma
Conservation laws and covariant equations of motion for spinning particles
We derive the Noether identities and the conservation laws for general
gravitational models with arbitrarily interacting matter and gravitational
fields. These conservation laws are used for the construction of the covariant
equations of motion for test bodies with minimal and nonminimal coupling.Comment: 6 pages, Proceedings of XV Advanced Research Workshop on High Energy
Spin Physics "DSPIN-13", Dubna, 8-12 October 2013, Eds. A.V. Efremov and S.V.
Goloskokov (Joint Inst. Nucl. Res., JINR, Dubna, 2014) p. 110-11
Deviation equation in Riemann-Cartan spacetime
We derive a generalized deviation equation in Riemann-Cartan spacetime. The
equation describes the dynamics of the connecting vector which links events on
two general adjacent world lines. Our result is valid for any theory in a
Riemann-Cartan background, in particular, it is applicable to a large class of
gravitational theories which go beyond the general relativistic framework.Comment: 9 pages, 1 figur
Unraveling gravity beyond Einstein with extended test bodies
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 equations of motion for test bodies for a very large class of gravitational
theories with a general nonminimal coupling to matter. These equations form the
basis for future systematic tests of alternative gravity theories. Our
treatment is covariant and generalizes the classic Mathisson-Papapetrou-Dixon
result for spinning (extended) test bodies. The equations of motion for
structureless test bodies turn out to be surprisingly simple, despite the very
general nature of the theories considered.Comment: 4 pages, 2 figures, to appear in Phys. Lett.
Equations of motion in gravity theories with nonminimal coupling: a loophole to detect torsion macroscopically?
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 extended test bodies. One peculiar feature of certain subclasses of
nonminimal theories turns out to be their sensitivity to post-Riemannian
spacetime structures even in experiments without microstructured test matter.Comment: 9 pages, RevTex forma
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