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Gravitational Energy-Momentum in MAG

James M. Nester·Chiang-Mei Chen·Yu-Heui Wu
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Abstract

Energy-momentum (and angular momentum) for the Metric-Affine Gravity theory is considered from a Hamiltonian perspective (linked with the Noether approach). The important roles of the Hamiltonian boundary term and the many choices involved in its selection-which give rise to many different definitions-are emphasized. For each choice one obtains specific boundary conditions along with a value for the quasilocal, and (with suitable asymptotic behavior) total (Bondi and ADM) energy-momentum and angular momentum. Applications include the first law of black hole thermodynamics-which identifies a general expression for the entropy. Prospects for a positive energy proof are considered and quasilocal values for some solutions are presented.

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James M. Nester, Chiang-Mei Chen, Yu-Heui Wu. 2000-11-28. Gravitational Energy-Momentum in MAG. https://arxiv.org/abs/gr-qc/0011101

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