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Singularity

A point of infinite density at the center of a black hole where the curvature of spacetime becomes infinite according to classical General Relativity.
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The statement of the theorem

For the interior of a black hole described by the Schwarzschild solution, the singularity is located at r=0r=0. It is characterized by the divergence of curvature invariants, such as the Kretschmann scalar KK: K=RμνρσRμνρσ→r→0∞K = R_{\mu\nu\rho\sigma} R^{\mu\nu\rho\sigma} \xrightarrow{r \to 0} \infty