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Results tagged with general-relativity
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user 10001
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.
15
votes
3
answers
2k
views
Is Einstein-Hilbert action the unique action whose variation gives Einstein's field equations?
I know that
scaling the action with a non-zero multiplicative constant, or
adding a total divergence term to the Lagrangian density
do not change the Euler-Lagrange equations, cf. e.g. this Phy …
- 2,087
4
votes
Accepted
Proof that higher genus surface admits a metric of negative Ricci scalar everywhere
This result follows from i) Uniformization theorem and ii) Gauss-Bonnet theorem in 2d.
According to the statement of uniformization theorem from this wiki page :
every connected Riemann surface …
- 2,087