A coordinate singularity occurs when an apparent singularity or discontinuity occurs in one coordinate frame that can be removed by choosing a different...

the original function. A coordinate singularity occurs when an apparent singularity or discontinuity occurs in one coordinate frame, which can be removed...

A gravitational singularity, spacetime singularity or simply singularity is a condition in which gravity is predicted to be so intense that spacetime itself...

The singularity at r = rs is an illusion however; it is an instance of what is called a coordinate singularity. As the name implies, the singularity arises...

that the apparent singularity at the Schwarzschild radius is only a coordinate singularity and is not a true physical singularity. While this fact was...

and are well-behaved everywhere outside the physical singularity. There is no coordinate singularity at the horizon. The Kruskal–Szekeres coordinates also...

type A2-singularity. Let f (x, y) be a smooth function of x and y and assume, for simplicity, that f (0, 0) = 0. Then a type A2-singularity of f at (0...

In general relativity, a naked singularity is a hypothetical gravitational singularity without an event horizon. When there exists at least one causal...

showed that the singularity disappeared after a change of coordinates. In 1933, Georges Lemaître realized that this meant the singularity at the Schwarzschild...

of these singularities was debated for decades. It was found that the one at r = r s {\displaystyle r=r_{\text{s}}} is a coordinate singularity, meaning...

Lemaître coordinates removes the coordinate singularity at the Schwarzschild radius. The original Schwarzschild coordinate expression of the Schwarzschild...

However, neither surface is a true singularity, since their apparent singularity can be eliminated in a different coordinate system. A similar situation obtains...

mathematical singularity as a value at which a function is not defined. For that, see for example isolated singularity, essential singularity, removable...

crossing singularity is a singularity similar to a union of coordinate hyperplanes. The term can be confusing because normal crossing singularities are not...

_{t_{1}}^{t_{2}}a(r)dt} Looking back at the coordinate ranges above, note that the coordinate singularity at t = t 0 , r = r 0 , θ = 0 {\displaystyle t=t_{0},\,r=r_{0},\...

at zero velocity, and the spatial slices are flat. There is no coordinate singularity at the Schwarzschild radius (event horizon). The outgoing ones are...

reflection (⁠ V ∗ {\displaystyle \mathbf {V} ^{*}} ⁠), followed by a coordinate-by-coordinate scaling (⁠ Σ {\displaystyle \mathbf {\Sigma } } ⁠), followed by...

"what's north of the north pole". Coordinate singularity No-boundary proposal and imaginary time Spacetime singularity Time What is Cosmology?, wiseGEEK...

apparent singularity at a surface that is separate from the point-source, but that singularity is merely an artifact of the choice of coordinate conditions...

cylindrical-type coordinate singularity at the origin, as compared to the "nut" metrics, which have a sphere coordinate singularity. In both cases, the coordinate singularity...

a Du Val singularity, also called simple surface singularity, Kleinian singularity, or rational double point, is an isolated singularity of a complex...

begins and ends with a strong scalar curvature singularity; here, there is a mere coordinate singularity (a circumstance which much confused Einstein and...

In mathematics, in particular functional analysis, the singular values of a compact operator T : X → Y {\displaystyle T:X\rightarrow Y} acting between...

relativity has a page on the topic of: BKL singularity A Belinski–Khalatnikov–Lifshitz (BKL) singularity is a model of the dynamic evolution of the universe...

recognize the one in the Schwarzschild metric and eliminate its coordinate singularity. In essence, Finkelstein determined that whatever falls past the...

solution does not contain a coordinate singularity on a surface that is now named after him. In his coordinates, this singularity lies on the sphere of points...

A Van Hove singularity is a singularity (non-smooth point) in the density of states (DOS) of a crystalline solid. The wavevectors at which Van Hove singularities...

family of nested round spheres. There are several different types of coordinate chart which are adapted to this family of nested spheres; the best known...

general relativity, a white hole is a hypothetical region of spacetime and singularity that cannot be entered from the outside, although energy-matter, light...

spherical coordinates have a coordinate singularity at the horizon, we'll need to switch to a more appropriate coordinate chart. The simplest possible...