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Re: Equation of a Gravitional Well (in GR)

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Posted by AlexanderS on April 05, 19101 at 20:03:12:

In Reply to: Re: Equation of a Gravitional Well (in GR) posted by phobos on April 04, 19101 at 20:47:14:

Ok say I put a mass M somewhere in flatland. The sheet will bend a result of this. Spacetime curvature, right? So what's the equation of the warped manifold?

What I'm asking is the same situation but a dimension up. What is the equation of a 3-space with a mass M put inside it? For example say I have a neutron star 10 kilometers across, perfectly spherical, with a mass of 2 solar masses. Regardless of whether this star would actually exist, what is the equation of the 3-space manifold it produces? Or is there just some general equation you could give me if it would make the process eaiser?

I'm not even sure what I'm asking makes any sense at all within the framework of GR because frankly I've never studied the equations necessary to work with GR. Sorry if it dosen't. However I hope you can clarify whether it does or not.

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