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A symmetric rank-2 tensor in relativity, which expresses the flux of energy-momentum along timelike and spacelike axes. Also known as the stress tensor or the energy-momentum tensor. In the Einstein field equations, it is the source of gravitational fields.

1 vote
1 answer
65 views

IBVP of general relativity when stress-energy tensor is known for "past" submanifold

I am reading the relativity texts, but meanwhile, I do get that general relativity can be formulated as IBVP (initial-boundary-value problem). But for now, it seems that I need to read much more to co …
Master of Life's user avatar
3 votes
1 answer
1k views

How does Einstein field equations interact with geodesic equation?

Einstein field equations seem very nonlinear of second order derivative. Expressing LHS of Einstein field equations in purely metric tensor and derivatives, it consists somewhat of second-order deriva …
Master of Life's user avatar
2 votes
2 answers
546 views

Stress-energy tensor and dependence on coordinate system in general relativity

In Wikipedia, components of stress-energy tensor $T^{\alpha \beta}$ is defined as flux of $\alpha$th component of momentum vector across a surface with $x^{\beta}$ coordinate. What I don't exactly un …
Master of Life's user avatar