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Results tagged with general-relativity
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user 158222
A theory that describes how matter interacts dynamically with the geometry of space and time. It was first published by Einstein in 1915 and is currently used to study the structure and evolution of the universe, as well as having practical applications like GPS.
1
vote
Variation of the Einstein Hilbert Action (Tensor Algebra)
It was because in my second line of working I did not contract the first and third indices in my equation for the variation of the Riemann tensor.
It should look like this
$$\implies g^{\mu \nu}\delta …
- 43
0
votes
1
answer
85
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Variation of the Einstein Hilbert Action (Tensor Algebra)
I'm struggling a bit with the algebra involved in deriving the variance of the Einstein Hilbert Action.
I have that:
$$\delta R^{\lambda}_{\mu \alpha \nu} = \nabla_{\alpha}\delta \Gamma^{\lambda}_{\nu …
- 43
0
votes
1
answer
110
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Manipulation of Einstein's equation
In my lecture notes, there is the following consequence of Einstein's equations, (it follows on to have multiple consequences, so I don't think there's a mistake in the notes):
$$R_{\mu\nu} - \frac{1} …
- 43