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Results tagged with general-relativity
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user 322041
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.
0
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2
answers
810
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What is the lagrangian of Einstein field equations
What is a lagrangian such that Euler-Lagrange equation (not sure if it's correct form for this case)
$$\frac{\partial \mathcal{L}}{\partial g_{\mu\nu}}=\partial_\lambda\frac{\partial \mathcal{L}}{\par …
0
votes
1
answer
195
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What are the properties of metric tensor? [duplicate]
It's frequently said that graviton has spin-2, so its wave function should have $5$ independent components. The metric tensor has $n^2=16$ components, but it obeys the following property:
\begin{equat …
6
votes
3
answers
933
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Can the metric tensor always be diagonalized?
I know a few examples of metric tensors (flat, spherical, hyperbolic, Schwartzchild, Kerr, Kerr-Newman) and there's a common property between them. All of them can be expressed as
\begin{equation}
g_{ …
4
votes
2
answers
473
views
What is the stress-energy tensor in this case?
In case of static point mass we have the following stress energy tensor
$$T_{00}=m\delta^3(\vec{r})$$
And other components are zero.
What are the components of this tensor in case of moving point mass …
3
votes
2
answers
180
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Are metrics of general relativity tested?
We tested general relativity with effects as gravitational lensing and existence of black holes (Schwarzschild metric). But there are other metrics, e.g. Kerr-Newman metric for a point mass with charg …