Symmetries of the Energy-Momentum Tensor: Some Basic Facts

Details Symmetries of the Energy-Momentum Tensor: Some Basic Facts Symmetries of the Energy-Momentum Tensor: Some Basic Facts

2006-07-10

arxiv.org/abs/gr-qc/0607036v1

Commun.Theor.Phys.47:829-834,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

17 pages, accepted for publication in "Communications in Theoretical Physics"

Scientific paper

10.1088/0253-6102/47/5/013

It has been pointed by Hall et al. [1] that matter collinations can be defined by using three different methods. But there arises the question of whether one studies matter collineations by using the ${\cal L}_\xi T_{ab}=0$, or ${\cal L}_\xi T^{ab}=0$ or ${\cal L}_\xi T_a^b=0$. These alternative conditions are, of course, not generally equivalent. This problem has been explored by applying these three definitions to general static spherically symmetric spacetimes. We compare the results with each definition.

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