1202.4768 (Z. Nourinezhad et al.)

Some examples for different descriptions of energy-momentum density in
the context of Bianchi IX cosmological model    [PDF]

Z. Nourinezhad, H. Farajollahi, S. H. Mehdipour

Based on the Bianchi type IX metric, we calculate the energy and momentum
density components of the gravitational field for the five different
definitions of energy-momentum, namely, Tolman, Papapetrou, Landau-Lifshitz,
M{\o}ller and Weinberg. The energy densities of M{\o}ller and Weinberg become
zero for the spacetime under consideration. In the other prescriptions, i.e.,
Tolman, Papapetrou and Landau-Lifshitz complexes, we find different
non-vanishing energy-momentum densities for the given spacetime, supporting the
well-known argument in General Relativity that the different definitions may
lead to different distributions even in the same spacetime background.

View original: http://arxiv.org/abs/1202.4768