Demystifying autoparallels in alternative gravity

@article{Obukhov2021DemystifyingAI,
  title={Demystifying autoparallels in alternative gravity},
  author={Yuri N. Obukhov and Dirk Puetzfeld},
  journal={Physical Review D},
  year={2021}
}
The equations of motion of test bodies in relativistic gravity are tightly linked to the conservation laws of the theory [1–3]. The explicit derivation of these equations has been intertwined with the development of approximation schemes within relativistic gravity [4–6]. As it is well known, geodesic curves arise as trajectories of structureless test bodies in Riemannian spacetimes with the metric gij as the gravitational field potential, that determines the metric-compatible Christoffel… 

References

SHOWING 1-10 OF 24 REFERENCES

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

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

Multipolar test body equations of motion in generalized gravity theories

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

Instabilities in metric-affine theories of gravity with higher order curvature terms

We discuss the presence of ghostly instabilities for metric-affine theories constructed with higher order curvature terms. We mainly focus on theories containing only the Ricci tensor and show the

Mach's Principle and a Relativistic Theory of Gravitation

INTRODUCTION small mass, its eGect on the metric is minor and can be considered in the weak-field approximation. The observer would, according to general relativity, observe normal behavior of his

Geometric classification of the torsion tensor of space‐time

Torsion appears in literature in quite different forms. Generally, spin is considered to be the source of torsion, but there are several other possibilities in which torsion emerges in different

The New Mechanics of Myron Mathisson and Its Subsequent Development

In 1937, Myron Mathisson published a paper which initiated a program of work in general relativity that continues to the present day. The aim of this program was to obtain equations that determine