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What is the interpretation of stress energy-tensor in general relativity.
According to General Relativity by Wald [itex]T^{\mu\nu} u_\mu u_\nu[/itex]
is energy density (chapter 4.2) where [itex]u_\mu[/itex] is observer 4-veliocity.
But for isolated particle [itex]T^{\mu\nu} = \gamma m V_\mu V_\nu[/itex]
(http://en.wikipedia.org/wiki/Stress_energy_tensor#Isolated_particle") in particle reference frame
we obtain density of energy: [itex]m / \gamma[/itex] and not [itex]m[/itex]
(because [itex]V_\mu^2=1/\gamma^2[/itex] - it's not 4-veliocity but simpliy veliocity).
According to General Relativity by Wald [itex]T^{\mu\nu} u_\mu u_\nu[/itex]
is energy density (chapter 4.2) where [itex]u_\mu[/itex] is observer 4-veliocity.
But for isolated particle [itex]T^{\mu\nu} = \gamma m V_\mu V_\nu[/itex]
(http://en.wikipedia.org/wiki/Stress_energy_tensor#Isolated_particle") in particle reference frame
we obtain density of energy: [itex]m / \gamma[/itex] and not [itex]m[/itex]
(because [itex]V_\mu^2=1/\gamma^2[/itex] - it's not 4-veliocity but simpliy veliocity).
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