Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Stress-energy tensor

  1. Dec 30, 2009 #1
    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).
     
    Last edited by a moderator: Apr 24, 2017
  2. jcsd
  3. Dec 30, 2009 #2
    The stress-energy tensor contains information about energy density, momentum density and flow of momentum(force). The Einstein field equations show that it is related to the curvature of spacetime.
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook