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44 questions with no upvoted or accepted answers
4 votes
0 answers
232 views

The (Newton-Laplace-Ivory-Arnold) shell theorem in general relativity

It is well-known that Birkhoff's theorem and the classification of LTB spacetimes proves one version of Newton's shell theorem in the context of GR. Another statement in Newtonian gravity, often ...
5th decile's user avatar
4 votes
0 answers
132 views

Would a very long massive rod exhibit a large deviation from Newtonian gravity (specifically a deficit angle rather than 1/r force)?

In General Relativity the metric corresponding to an infinitely long massive rod is flat but with a deficit angle. It exhibits a very large deviation from Newtonian gravity in all regions of space in ...
James E Hanson's user avatar
3 votes
0 answers
69 views

Do all gravitationally collapsing objects virialize?

For interactions via a Newtonian gravitational potential, the virial theorem states that $$ 2 \langle T \rangle = -\langle V \rangle $$ i.e. the time-averaged total kinetic energy and total potential ...
Socob's user avatar
  • 486
3 votes
0 answers
275 views

What would gravity be like on the surface of a right rectangular prism?

Let's assume there is a right rectangular prism floating about in space, what would the gravity be like across its 6 flat surfaces? Let's assume that this right rectangular prism has a constant ...
tempestwing0101's user avatar
3 votes
0 answers
576 views

Can a Set of "Maxwell's Equations" for Newtonian Gravitation be Derived from Newton's Force + Special Relativity?

When I learned about electromagnetism in my first year of undergraduate school, Maxwell's equations were derived roughly in the following way (see also here or in [1]): Gauss's law for a static ...
Lior's user avatar
  • 3,369
2 votes
1 answer
69 views

What would the acceleration and velocity due to gravity be when an object is dropped from a large distance from a theoretical flat earth?

Say the acceleration and velocity are described using acceleration time and velocity time graphs, I have no idea whether these graphs would look the same or different to the same graphs but made for ...
Jeezus's user avatar
  • 21
2 votes
1 answer
71 views

Is the Newtonian gravitational potential $-\frac{GMm}{R}$ just an approximation?

Is $-\frac{GMm}{R}$ just an approximation? I believe that it is since we assume that one of the mass is at rest when deriving it.
Jin's user avatar
  • 21
2 votes
1 answer
110 views

Which location on Earth has the strongest deviation from the vertical due to gravity?

So, I've recently learned about the Schiehallion experiment, performed in 1774, where scientists detected the deviation from the vertical of a plumb due to the gravitational attraction of a single ...
Swike's user avatar
  • 2,987
2 votes
0 answers
49 views

Paradox/inconsistency when embedding QFT in Newtonian gravity

This is not a question per se -- I am trying to recall an example from a lecture long ago about the inconsistencies that arise when you try to use QFT with Newtonian gravity. It involves an electron-...
nonreligious's user avatar
2 votes
0 answers
27 views

Is there an effect analogous to the slowing down of massive particles in Newtonian cosmology?

We know that massive particles slow down by $a^{-1}$ in the Robertson-Walker metric , where $a$ is the scaling factor. If the particle velocity is non-relativistic, can we understand this slowing ...
orangesandlemons's user avatar
2 votes
0 answers
847 views

Geometric Explanation for the Equality of Active and Passive Gravitational Masses

In Newtonian gravity, as such, there are three masses: the active gravitational mass (the mass that generates the gravitational field), the passive gravitational mass (the mass that responds to the ...
user avatar
2 votes
0 answers
91 views

centrifugal acceleration and circular velocity in curved space time

I'm studying a problem on rotation systems in general relativity. I would like to know how do these two well know newtonian formulas: $$a_{c}(r)=\dfrac{V_{c}^{2}(r)}{r},\\-\:\dfrac{\partial\Phi(r)}{\...
Ernesto Lopez Fune's user avatar
2 votes
0 answers
214 views

Maxwell-like equations from Newton's law of universal gravitation and special relativity

It is known that Maxwell's equations can be derived from Coulomb's Law and Special Relativity. Since Coulomb's Law is so similar to Newton's law of universal gravitation, is it also possible to derive ...
Craig Feinstein's user avatar
2 votes
0 answers
130 views

Gravity's potential energy is it measurable?

In vacuum all object fall with no resistance and the object keeps on accelerating without stopping at a particular velocity. If i manage to make the fall to take place for 20 sec, then will the object ...
Stark's user avatar
  • 27
2 votes
0 answers
124 views

Where are the L3, L4, and L5 points of a hyperbolic orbit?

Do the L3, L4, L5 points exist in hyperbolic orbits? If yes, then where do they lie?
ben's user avatar
  • 1,517

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