1206.0540 (Lau Loi So)

Quasilocal energy for tensor V in small regions    [PDF]

Lau Loi So

Within a quasilocal small sphere, we find the Bel-Robinson tensor $B$ and recently proposed $V$ have the same gravitational energy-momentum values. One may doubt that whether $\{B,V\}$ are identical? However, we claim $\{B,V\}$ are distinguishable because we find they have different values, in particular, we use pseudotensor to evaluate the energy in other small regions such as ellipsoid. In addition, as a double check, we find $\{B,V\}$ have different number of independent components. Finally, we discover the completely traceless property of $\{B,V\}$ implies the conservation of 4-momentum in small region, and vice versa.

View original: http://arxiv.org/abs/1206.0540