A gravitational singularity, spacetime singularity or simply singularity is a location in spacetime where the mass and gravitational field of a celestial body is predicted to become infinite by general relativity in a way that does not depend on the coordinate system.
Source : Wikipedia
Calculations based on Einstein's theory of General Relativity show that any object which is sufficiently massive as to have a gravitational field strong enough to distort spacetime to the extent that light itself could not escape, would collapse to form a Black Hole - the central point of which would have infinite density, and therefore infinite mass. The same calculations show that it is also infinitely small. This leads to an unresolved logical paradox which questions how an infinitely small entity can have infinite mass.
Other theories (e.g. loop quantum gravity) suggest that such singularities are impossible - due to the (proposed) quantum nature of spacetime, which means that no object can be smaller than a certain size.
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