A gravitational singularity or space-time singularity is a location where the quantities that are used to measure the gravitational field of a celestial body become infinite in a way that does not depend on the coordinate system. These quantities are the scalar invariant curvatures of space-time, which includes a measure of the density of matter. The laws of normal space-time could not exist within a singularity.[1][2]
For the purposes of proving the Penrose–Hawking singularity theorems, a space-time with a singularity is defined to be one that contains geodesics that cannot be extended in a smooth manner.[3] The end of such a geodesic is considered to be the singularity. This is a different definition, useful for proving theorems.
[Gravitational singularity - Wikipedia, the free encyclopedia] is good,have a look at it! https://en.m.wikipedia.org/wiki/Gravitational_singularity
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