English

Modification of the Bel-Robinson type energy-momentum

General Relativity and Quantum Cosmology 2013-12-17 v2

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 BB and tensor VV 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): BB or VV plus a tensor SS in a quasilocal small cube limit, or (ii): directly evaluating the energy-momentum of BB or VV in a quasilocal small box region.

Keywords

Cite

@article{arxiv.1302.2412,
  title  = {Modification of the Bel-Robinson type energy-momentum},
  author = {Lau Loi So},
  journal= {arXiv preprint arXiv:1302.2412},
  year   = {2013}
}

Comments

6 pages