Spherically Symmetric Metric: Is Singularity Free?

[sqljunkey]

Is there a spherically symmetric metric that doesn't have a singularity in the middle of it(like the schwartzchild metric). Something like our planet.

 

[Dale]

Is there a spherically symmetric metric that doesn't have a singularity in the middle of it(like the schwartzchild metric). Something like our planet.

Sure. That is the interior Schwarzschild solution. There is also FLRW. Also flat spacetime. And Oppenheimer-Snyder which starts out with no singularity but develops one later.

 

[haushofer]

See also

https://en.m.wikipedia.org/wiki/Tolman–Oppenheimer–Volkoff_equation

 

[mitochan]

Something like our planet.

Newton's gravity force is proportional to distance from the center up to the Earth surface and dumps inverse square of distance outward. Together with OP I am interested in the corresponding formula in GR.