This video looks at the singularities of the Schwarzschild space-time finding that one is a coordinate singularity while the other is a real physical singularity. It then looks at gravitational time dilation and Birkhoff’s theorem.
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Schwarzschild metric - part 1
Schwarzschild metric - 1 (updated)
Schwarzschild metric - part 2
The trace of the Einstein tensor (update to 'Schwarzschild metric - part 2')
Schwarzschild metric - part 3
Gravitational redshift
Schwarzschild radius and gravitational time dilation
Schwarzschild proper distance
Schwarzschild geodesics - 1
Schwarzschild geodesics - 2
Schwarzschild geodesics - 3
Schwarzschild geodesics - 3 (update)