/sci/ - Science & Math

>>8577880
>>8577916
The event horizon has infinite time dilation in the same sense that the north pole has infinite longitude dilation. The only thing that goes to infinity there are human-made coordinates.

For any observer accelerating at constant acceleration a (as measured in his own rest frame), there is a personal event horizon at distance c^2/a from him from which no light will ever catch up with him. It's called the "Rindler horizon". You can introduce space and time coordinates that treat anything that accelerates so as to avoid the same horizon as static; these are called Rindler coordinates, and in these coordinates, there is infinite time dilation as you approach the horizon. But of course nobody who falls through the Rindler horizon notices anything.

In Newtonian gravity, when calculating the gravitational field of a uniform sphere, the sphere can be treated as if all of its mass were concentrated in the center.
Same goes for electromagnetism, when calculating the electric field of a sphere with uniform charge.

My question is, does this also hold in General Relativity? Would a uniform sphere have the same "gravitational field" (that is, the same metric solution to the EFEs) as if the mass were concentrated at a point in the center of the sphere?

Pic completely unrelated, it's Rindler coordinates.