All Questions
Tagged with resource-recommendations differential-geometry
110
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Looking for video courses on general relativity, aimed at a mathematician crowd [closed]
I am a mathematician, working in symplectic geometry.
I am looking for online avalible video recordings of courses in general relativity, which are geared towards an audience of mathematicians.
...
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What are good introductory books for contact geometry in non-equilibrium thermo?
As far as I can understand, Mrugala's paper on the geometry of thermodynamic processes covers introductory prerequisites for the contact formalism applied to thermodynamics, however, I know there's a ...
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answer
47
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Seeking references for giving geometrical interpretations of electromagnetism and the nuclear forces
From this thread, we have the following comment:
To further blur the line, it is possible to give geometrical interpretations of electromagnetism and the nuclear forces, such that they appear to be ...
1
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1
answer
79
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Books that approach General Relativity via differential forms, without coordinates [duplicate]
Does someone know about some books about differential geometry applied to General Relativity that are written using the language of differential forms, fiber bundles, & spin connection, and not ...
3
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2
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106
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References on Newton-Cartan Gravity
I'm interested in learning a bit about Newton-Cartan gravity, and I would like some references on the topic. I am already familiar with differential geometry and general relativity, so those could be ...
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46
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Looking for textbook on differential geometry [duplicate]
I am looking for a textbook(s) that discusses differential geometry, smooth manifolds etc. More precisely, I have been trying to find a textbook that covers the following topics:
Differential ...
2
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1
answer
265
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Metric tensor calculation tool? [duplicate]
The Einstein field equations are
$G_{\mu\nu}+\Lambda g_{\mu\nu}=\kappa T_{\mu\nu}$
which would be easy enough to solve if not for all of the nonlinear dependencies on $g$ that the Einstein tensor $G$ ...
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Recommendation books on graduate level vector analysis and field analysis with application of electrodynamics?
I am currently a physics and mathematics double major graduate student. Looking for a text book and problem sets on the topic of vector field analysis, would be best if the book is advanced and ...
3
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Characteristic classes and index theorems for physicists
Since characteristic classes and index theorems are occasionally used in quantum field theory (for example, when discussing instantons or quantum anomalies), I want to learn more about them. Is there ...
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Geometrically Impossible Spacetime
A result in math says that $S^n$ carries a Lorentzian metric iff $n$ is odd.
Using it we can observe that a 2-sphere spacetime is impossible, a 3-sphere spacetime is geometrically possible, but again ...
3
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How to use Python to get mathematical expressions in General Relativity [duplicate]
I'd like to get the metric tensor that describes a non-rotating, uncharged, perfectly spherical black hole whose radius grows with time (it gains mass). For now, I have:
$g_{\mu\nu}=\begin{pmatrix}
-c^...
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73
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More mathematically formal textbook on general relativity [duplicate]
I was going through the lectures of F. Schuller in the International Winter School on Gravity and Light 2015, and I finally understand thing due to the differential geometry chartless formalism. But I ...
3
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answer
804
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Pre-requisites for V.I. Arnold's mathematical methods for classical mechanics
I am an undergraduate, studying physics. I have studied maths courses like Groups, Linear Algebra, Real analysis, Differential geometry and probability. I wish to get into mathematical physics, ...
3
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188
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HaMiDeW coefficients - recursive calculation of the coincidence limits
In his book Aspects of Quantum Field Theory in Curved Spacetime Stephen Fulling calculates the coincidence limit $[a_1]$ and gives an idea of how $[a_n]$ with $2 ≤ n$ can be found recursively.
Since ...
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2
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Gravity from a reduction of the structure group of a frame bundle $FX$ to a Lorentz group $SO(1,3)$
According to https://en.wikipedia.org/wiki/World_manifold, gravity can be understood as follows:
In accordance with the geometric Equivalence Principle, a world manifold possesses a Lorentzian ...