Conservation laws in gravity: A unified framework

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.

9 pages, 1 figure, RevTex format. arXiv admin note: text overlap with arXiv:1303.6050

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• Equations of motion in metric-affine gravity: A covariant unified framework
• Cosmology of Quadratic Metric-Affine Gravity
• The Cosmology of Quadratic Torsionful Gravity
• Multipolar test body equations of motion in generalized gravity theories
• Cosmology in Poincare gauge gravity with a pseudoscalar torsion
• Some globally conserved currents from generalized Killing vectors and scalar test fields
• Mass and angular momentum of black holes in low-energy heterotic string theory
• Cosmology of Metric-Affine $R+\beta R^2$ Gravity with Pure Shear Hypermomentum
• Energy-momentum tensors in classical field theories - a modern perspective
• Kinematics in Metric-Affine Geometry
• Friedmann cosmology with hyperfluids
• On the geometric origin of the energy-momentum tensor improvement terms
• Perturbations of the almost Killing equation and their implications