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Questions tagged [gravity-theory]

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Gravity is the weakest of the four fundamental forces of physics. The standard gravity theory is Newton's law of universal gravitation and general theory of relativity (proposed by Albert Einstein in 1915, and David Hilbert, and others). Alternative formulations include string theory, entanglement and others.

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0answers
248views

What is the maximum tidal force between two objects with unit volumes and unit density?

Motivation for this problemThis problem arises from the fact that the derivative of the gravitational force (tidal force) in the $z$-direction between two objects $A$ and $B$, which have equal ...
1vote
1answer
371views

Mach's principle, Newton's law and Hilbert sphere?

(This question has originally been posted on reddit, but I thought, that the question raised in the post above, might fit as well here on MO.)I wanted to share with you something I stumbled upon ...
-4votes
2answers
548views

Inverse square-law as a positive definite kernel?

Newtons law for gravity states that:$$F_{12} = \frac{G m_1 m_2} {|x_1-x_2|^2}$$The function :$$k(x,y):=\exp(-| x-y|^2)$$is known to be a positive definite function, called the RBF-kernel.It ...
-4votes
1answer
241views

What are the applications of spin geometry? [closed]

What are applications of spin geometry to physics? Does it have something to do with gravity?
1vote
0answers
99views

How to smoothly interpolate gravitational field between trajectories in high dimension?

I'm looking for the adequate numerical interpolation technique to solve the following problem. This is probably trivial for physicists who study gravitational fields, but I didn't find clear answers ...
26votes
2answers
2kviews

Decidability of 3 body problem

Is there a result showing that something along the lines of the three body problem is undecidable? Or are they known to be decidable or neither?I mean problems along the lines of the following ...
1vote
0answers
80views

What does it mean for correlation functions to be dominated by the vacuum block for a 2D CFT?

In a 2D CFT, correlation functions dominated by the vacuum block have no conical defects. You can calculate the OPE and determine the correlation function using the D-S equations and cancel out UV ...
39votes
2answers
4kviews

Euler's Master's Thesis

At the age of 16, Leonhard Euler defended his Master's Thesis, where he discussed and compared Descartes' and Newton's approaches to planet motion. I don't know anything else about it. In particular, ...
0votes
0answers
88views

Prerequisites/Preparation for understanding a research paper - global solutions to Einstein field in Bondi Coordinates

I would like to read this paper: João L. Costa, Filipe C. Mena, Global solutions to the spherically symmetric Einstein-scalar field system with a positive cosmological constant in Bondi coordinates ...
7votes
1answer
258views

Electromagnetic energy in Lovelock gravities

To fix ideas, let us recall that General Relativity describes gravitational phenomena on a 4-dimensional pseudo-Riemannian manifold $(X,g_{ab})$ with field equations that relate the energy-momentum ...
11votes
1answer
2kviews

What do physicists mean by a topological quantum gravity theory

This is a jargon-like question.The fact that this is posted here rather in a physics forum indicates two thingsI know too little physics.An explanation with more mathematics flavors will be ...
101votes
5answers
12kviews

Is there a high level reason why the inverse square law of gravitation yields periodic orbits without precession?

Given a spherically symmetric potential $V: {\bf R}^d \to {\bf R}$, smooth away from the origin, one can consider the Newtonian equations of motion$$ \frac{d^2}{dt^2} x = - (\nabla V)(x)$$for a ...
5votes
0answers
425views

Yang-Mills theory v.s. Kaluza–Klein theory: Classical actions

In general Yang-Mills theory [1] seems to be different from the dimensional reduced Kaluza–Klein theory.However, the historical account was that people tried to trace back the origin of non-Abelian ...

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