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Results tagged with general-relativity
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user 75518
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.
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Does $R_{\mu \nu \sigma \rho} R^{\mu \nu \sigma \rho} \propto R$ hold?
For $R_{\mu \nu \sigma \rho}$ the Riemann-tensor and $R$ the Ricci-scalar:
Does $R_{\mu \nu \sigma \rho} R^{\mu \nu \sigma \rho} \propto R$ hold?
Or is there any way to relate $R$ approximately line …
- 3,129
1
vote
Accepted
Study the center and interior of a black hole using quantum entanglement
This is not possible.
Please look at the following links:
https://physics.stackexchange.com/a/170798/75518
https://physics.stackexchange.com/a/154051/75518
https://physics.stackexchange.com/a/170884 …
- 3,129
15
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Accepted
Is there a constant/baseline for how fast time passes?
In relativity there is no standard-clock that tells you which time is "right". That's the point about relativity. There is no need for a absolute reference to compare with. Everything is just the way …
- 3,129
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Accepted
Why do we select the metric tensor for raising and lowering indices?
Every vector space $V$ (over the real numbers) comes naturally with it's dual vector space $W$ of linear maps to the real numbers, e.g.
$$ \varphi \in W :\Leftrightarrow \varphi: V \rightarrow \mathbb …
- 3,129
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Null geodesic equation
Actually, you don't have to use proper time for a parametrisation of the Euler-Lagrange-Equations / geodesic equations in GR. Just take any parametrisation you want.
However, if you solve the equation …
- 3,129
3
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Locally flat coordinate and Locally inertial frame
If the observer is not in free-fall, the metric-tensor $g_{\mu,\nu}(s)$ at the observer's position, expressed in local coordinates around the observer, will not be $\eta_{\mu,\nu}$. Your first assumpt …
- 3,129
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Interpretation of a singular metric
Just for clarification: the manifolds used in general relativity are locally (in the sense of diffeomorphisms) $\mathbb R^{3+1}$. They are not $ \mathbb R^{3+1}$ in general, which is Minkowski space w …
- 3,129
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Dependence of spin on classical vs non-classical physics?
This is not a complete answer but my idea on that topic. Pauli-Matrizes (SU(2)) obey the same commutation relations as space rotations (SO(3)). This is because SU(2) is the universal cover of SO(3). W …
- 3,129