Stress-energy_tensor Stress-energy_tensor

Stress-energy tensor - Definition and Overview

The stress-energy tensor is a tensor quantity in relativity. It describes the flow of energy and momentum and is therefore sometimes referred to as energy-momentum tensor. It satisfies the continuity equation

<math>\nabla_a T^{ab}=T^{ab}{}_{;a}=0<math>

The quantity

<math>\int d^3x T^{0b}<math>

over a spacelike slice gives the energy-momentum vector. This tensor is the Noether current associated with spacetime translations. In general relativity, this quantity acts as the source of spacetime curvature, and is the current density associated with gauge transformations (in this case coordinate transformations) by Noether's theorem.

In curved spacetime, the spacelike integral now depends on the spacelike slice, in general. There is in fact no way to define a global energy-momentum vector in a general curved spacetime.

External links

Example Usage of Stress-energy

healthenergiser: De-stress energy: '#StressManagement through Meditation as a new trend in businesses' http://bit.ly/6XQAVC
tjdemas: EFEs determine the metric tensor of spacetime for a given arrangement of Stress-energy in the spacetime and 8pi (25.13) molds its true form.
iTworksWraps: Click a picture to enlarge Confianza™ - Anti-Stress energy Formula http://tinyurl.com/yj57fb2 at Bonanzle.
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