Conservation laws in gravity: A unified framework
Yuri N. Obukhov, Dirk Puetzfeld
TL;DR
This paper develops a unified framework for conservation laws in metric-affine gravity theories, deriving identities and laws from invariance principles, especially in models with nonminimal matter-gravity coupling.
Contribution
It introduces a comprehensive approach to derive conservation laws in metric-affine gravity, including models with arbitrary nonminimal matter coupling.
Findings
Derived identities and conservation laws for metric-affine gravity.
Applied the framework to models with nonminimal matter-gravity coupling.
Provided a systematic method for analyzing invariance in generalized gravity theories.
Abstract
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.
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