Is the Schwarzschild Metric Always Applicable to Black Holes?

It's otherwise essentially the same thing, but more complicated.In summary, the Schwarzschild metric is a solution for black holes, but it is not feasible for objects below the surface due to it being a vacuum solution. Real world black holes formed from the collapse of stars will be rotating, making the Kerr metric a more suitable solution.
  • #1
TimeRip496
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What do you put inside einstein field equation for black holes? Why is it that such black hole solution is not feasible?

Isnt the schwarzschild metric a solution for black holes? How is it not feasible?
 
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  • #2
TimeRip496 said:
What do you put inside einstein field equation for black holes? Why is it that such black hole solution is not feasible?

Isnt the schwarzschild metric a solution for black holes? How is it not feasible?

Why are you saying that it's "not feasible"? The Schwarzschild metric is the solution to the EFE for (non-rotating, uncharged) masses, whether black holes or not. It doesn't apply below the surface of an object because it's a vacuum solution and below the surface isn't a vacuum, but if the object is dense enough that its surface lies inside the Schwarzschild radius, the Schwarzschild solution predicts that a a black hole will form, event horizon and all.

It it is true that any real world black hole formed by the collapse of a star will be rotating because the original star was rotating, and in that case you will want to use the Kerr metric instead of the Schwarzschild metric.
 

FAQ: Is the Schwarzschild Metric Always Applicable to Black Holes?

What is a black hole solution for the Einstein field equations?

A black hole solution for the Einstein field equations is a theoretical solution that describes the curvature of space-time around a black hole. It is derived from Einstein's theory of general relativity and explains how gravity affects the curvature of space-time.

How does a black hole solution differ from other solutions of the Einstein field equations?

A black hole solution differs from other solutions of the Einstein field equations because it describes the extreme curvature of space-time caused by a black hole. It also includes the concept of an event horizon, which is the point of no return for anything that gets too close to the black hole.

Can a black hole solution be tested or observed?

Currently, a black hole solution cannot be directly observed or tested because black holes do not emit any light or radiation. However, scientists can observe the effects of black holes on their surroundings, such as the bending of light and the motion of stars and gas around the black hole, which support the existence of black hole solutions.

Are there different types of black hole solutions for the Einstein field equations?

Yes, there are several types of black hole solutions, including the Schwarzschild solution, the Kerr solution, and the Reissner-Nordström solution. These solutions differ based on the properties of the black hole, such as its mass, spin, and charge.

What is the significance of a black hole solution for the Einstein field equations?

The black hole solution for the Einstein field equations is significant because it helps us understand the behavior of black holes, which are some of the most enigmatic and extreme objects in the universe. It also provides a crucial framework for studying gravity and the large-scale structure of the universe.

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