Covariant differential identities and conservation laws in metric-torsion theories of gravitation. I. General consideration
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Publication:5402301
DOI10.1063/1.4810017zbMath1285.83017arXiv1306.6887OpenAlexW3102156804MaRDI QIDQ5402301
Alexander N. Petrov, Robert R. Lompay
Publication date: 6 March 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1306.6887
conservation lawssuperpotentialRiemann-Cartan spacemetric-torsion theories of gravitationBelinfante currentconserved Hilbert-Bergmann currentcovariant differential identitiesKlein-Noether methods
Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Relativistic gravitational theories other than Einstein's, including asymmetric field theories (83D05)
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Local energy-momentum conservation in scalar-tensor-like gravity with generic curvature invariants, Covariant conserved currents for scalar-tensor Horndeski theory, Field-theoretical construction of currents and superpotentials in Lovelock gravity, Covariant differential identities and conservation laws in metric-torsion theories of gravitation. II. Manifestly generally covariant theories, Conserved currents and superpotentials in teleparallel equivalent of GR, On the energy-momentum and spin tensors in the Riemann-Cartan space, Off-shell ADT conserved quantities in Palatini gravity, Breaking generalized covariance, classical renormalization, and boundary conditions from superpotentials
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