Modification of the Bel-Robinson type energy-momentum

2013/02/11 by Lau Loi So, So, Lau Loi · 1 citation
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc

paper · pdf · doi:10.48550/arxiv.1302.2412

6 pages

arxiv created 2013/12/14 · arxiv updated 2013/12/17

Abstract

For describing the non-negative gravitational energy-momentum in terms of a pure Bel-Robinson type energy-momentum in a quasilocal 2-surface, both the Bel-Robinson tensor B and tensor V are suitable. We found that this Bel-Robinson type energy-momentum can be modified such that it satisfies the Lorentz covariant, future pointing and non-spacelike properties. We find that these particular energy-momentum properties can be obtained from (i): B or V plus a tensor S in a quasilocal small cube limit, or (ii): directly evaluating the energy-momentum of B or V in a quasilocal small box region.

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