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Results tagged with curvature
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user 318923
Use this for questions pertaining to curvature of manifolds. Does not need to be specific to general relativity, but also for curvature of e.g. a Calabi-Yau manifold.
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Understanding Analogies Between Fourier Transform and Ricci Tensor Definition
Summation: Sums the contributions of the curvature tensor projected onto the basis vectors.
Key Parallels:
Variables $x$ and $p$ vs. … $Y$ and $Z$ are tangent vectors linked through the curvature tensor $R_p$.
Wavefunctions $\psi(x)$ and $\phi(p)$ vs. …
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How does the Ricci tensor describe the changing separation of two airplanes flying from the ...
As they fly north, the distance between them decreases due to the curvature of the Earth.
How can we use the Ricci tensor to describe the changing separation between these two airplanes? … For the Earth's surface (modeled as a sphere), the Ricci tensor components are related to the curvature of the sphere. …
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What is the significance of commutator relationships in physics, e.g. $qp-pq = i \hbar$, $R(...
Quantum mechanics has the commutator relationship: $$qp-pq = i \hbar$$
In relativity the Riemann tensor is a measure of how much covariant derivatives along a path commute. $$ R(X, Y)Z = \nabla_X\nabl …
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Do neutron stars (or really dense stars) contain more volume inside of them than the expecte...
Does this mean that the volume inside of neutron stars is bigger than we would expect because of the resulting spacetime curvature? …
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