### gravitational singularity

**(singularity)**
(point where density and gravity reach infinity)

The term **gravitational singularity** (often shortened to **singularity**)
is used for the presumed point in the center of a black hole
where density and gravity are infinite.
In mathematics (such as mathematical models), the term,
*singularity* refers to situations where some quantity mathematically
goes to infinity, and the assumptions you ordinarily make
based upon slopes of functions, etc., do not hold.
A gravitational singularity is a class of such mathematical singularities
within general relativity. Models of non-rotating black holes
(**Schwarzschild black holes**) have such a point at the center, but
in rotating black holes (**Kerr black holes**), the corresponding singularity
is a ring around the center (a **ring singularity**).
Generally, such a gravitational singularity must be surrounded by an
event horizon, but some models of very small black holes
consist of a **naked singularity**, i.e., one without the surrounding
event horizon. There are theorized impediments to the existence
of small black holes which may make these impossible: in particular,
how the laws of GR interplay with quantum mechanics is not
clear.

(*physics,gravity,black holes*)
**Further reading:**

http://en.wikipedia.org/wiki/Gravitational_singularity

http://en.wikipedia.org/wiki/Ring_singularity

http://en.wikipedia.org/wiki/Black_hole

**Referenced by pages:**

black hole (BH)

electron degeneracy

law of cosmic censorship

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