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0 votes
0 answers
64 views

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. ...
0 votes
0 answers
31 views

Problem with linearized gravity on flat background in spherical coordinates

I am solving the linearized Einstein equations with a flat background in spherical coordinates, i.e $ds^2 = -dt^2 + dr^2 + r^2 d\Omega^2$ and writing $h_{\mu\nu}$ in terms of spherical harmonics. ...
2 votes
0 answers
128 views

Prerequisites to learn/work on double copy theory and amplitude methods for gravity

I am a PhD student in classical gravity; specifically in BH perturbation and GW. I am interested in learning about the double copy and the use of scattering amplitudes in understanding GW physics. I ...
1 vote
1 answer
79 views

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 votes
2 answers
106 views

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 ...
0 votes
1 answer
74 views

Metric of a rotating Cosmic String

I searched on the internet superficially but I couldn't find it. Is there any reference that find the solution to Einstein's Field Equations for a rotating Cosmic String? Personally haven't got the ...
2 votes
0 answers
96 views

Numerical Relativity for Computer Scientists

What resources on numerical relativity/simulation would be suitable for a primarily theoretical computer science background [algorithms analysis, complexity theory, etc.]? Importantly, while I'm ...
1 vote
0 answers
75 views

Use of mathematical structure on physics [closed]

I want resources for studying in detail the connection between the mathematical structures of physical theories and said physical theories. For example, i know what a Hilbert space or a principal ...
2 votes
1 answer
58 views

Introductory references on the gravitational memory effect

I'm currently reading Andrew Strominger's Lectures on the Infrared Structure of Gravity and Gauge Theory. While I love the reference, the discussion on the gravitational memory effect feels a bit ...
0 votes
0 answers
105 views

Raising a solution to 4D after having dimensionally reduced it

I am applying the method that Gibbons presents in this article, and it consists of dimensionally reducing a four-dimensional Lagrangian using Kaluza Klein in $S_1$, to a three-dimensional one and ...
0 votes
1 answer
64 views

Math and Pseudo code paper on black hole binary simulation

I want to do a short practice to see how mass evolve space and how space curvature evolve mass distribution. Most of the GR simulations were rather complicated but I think the black hole binary had ...
2 votes
1 answer
265 views

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 $G$ ...
0 votes
0 answers
34 views

Seeking Advice to Dive into General and Special Relativity [duplicate]

I've got a second degree in engineering and a solid grip on the basics of physics. Now, I'm itching to take a deep dive into the worlds of general and special relativity. I've explored some ...
1 vote
0 answers
177 views

Einstein equivalence principle and running of couplings

It is known that a spacetime variation of the dimensionless gauge coupling constants of the standard models would lead to a violation of the Einstein equivalence principle (EEP). This point is ...
1 vote
0 answers
205 views

Examples of the Kaluza-Klein dimensional reduction method

I am looking for references or articles that apply or explain how to apply the dimensional reduction method to known metrics such as Minkowski, Schwarzschild, Kerr, etc. The references I found ...

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