An alternative non-negative gravitational energy tensor to the Bel-Robinson tensor

Details An alternative non-negative gravitational energy tensor to the Bel-Robinson tensor An alternative non-negative gravitational energy tensor to the Bel-Robinson tensor

2009-01-30

arxiv.org/abs/0901.4828v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages

Scientific paper

The Bel-Robinson tensor $B_{\alpha\beta\mu\nu}$ gives a positive definite gravitational energy in the small sphere limit approximation. However, there is an alternative tensor $V_{\alpha\beta\mu\nu}$ which was proposed recently that offers the same positivity as $B_{\alpha\beta\mu\nu}$ does. These two tensors are a basis for expressions which have the desirable non-negative gravitational energy in the small sphere region limit.

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