The modification of the Einstein and Landau-Lifshitz pseudotensrs

Details The modification of the Einstein and Landau-Lifshitz pseudotensrs The modification of the Einstein and Landau-Lifshitz pseudotensrs

2006-12-13

arxiv.org/abs/gr-qc/0612077v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages

Scientific paper

Deser et al. proposed a combination of the Einstein and Landau-Lifshitz pseudotensors such that the second derivatives in vacuum are proportional to the Bel-Robinson tensor. Stimulated by their work, the present paper discuss the gravitational energy-momentum expression which has the same desirable Bel-Robinson tensor property. We find modifications of the Einstein and Landau-Lifshitz pseudotensors that both give the same coefficient of the Bel-Robinson tensor in vacuum in holonomic frames.

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