The Schwarzschild Solution and Black Holes
We have now established the Einstein field equations and explained their contents. In this chapter we will explore the first known non-trivial solution to these equations. The solution is due to the astronomer Karl Schwarzschild, and in his honour the solution is referred to as the Schwarzschild solution for empty space. This solution represents a spacetime outside a non-rotating black hole. The Kerr solution representing spacetime outside a rotating black hole will also be deduced. Finally, interior solutions will be investigated.
KeywordsBlack Hole Surface Gravity Kerr Black Hole Atomic Clock Black Hole Thermodynamic
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