Unraveling gravity beyond Einstein with extended test bodies

Abstract

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.

4 pages, 2 figures, to appear in Phys. Lett. A

References in corpus (6)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Gravity Probe B: Final Results of a Space Experiment to Test General Relativity
• Extra force in $f(R)$ modified theories of gravity
• Nonminimal coupling of perfect fluids to curvature
• Covariant equations of motion for test bodies in gravitational theories with general nonminimal coupling
• Equivalence principle and electromagnetic field: no birefringence, no dilaton, and no axion

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