The Schwarzschild Solution to Einstein's Field Equations for gravity are said to be exact when outside a spherically symmetric massive body. My question is, can the Schwarzschild Solution also be used(adsbygoogle = window.adsbygoogle || []).push({}); insidethe massive body, such as a neutron star.

In Newtonian gravity we can find the gravity potential at some position inside the body; just find the distance to the center of mass, and count the total mass enclosed by a sphere whose radius equals that distance. It is similar to Gauss' Law in electrostatics.

Does a similar procedure work in general relativity? To find the gravity field at some position inside a neutron star, can I just calculate an effective Schwarzschild radius by finding the mass enclosed by a sphere passing through that position? If not, is there a correction to the Schwarzschild solution for the interior of a spherically symmetric massive body.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Does Schwarzschild Solution work inside a massive body?

**Physics Forums | Science Articles, Homework Help, Discussion**