| Name
|
d
|
Killing vectors
|
Discovered
|
Original paper |
| Aichelburg-Schein timehole
|
$4$ |
1 ($\partial_\phi$) |
1996 |
|
| Aichelburg–Sexl ultraboost
|
$4$ |
|
1971 |
|
| Alcubierre warp drive
|
$4$ |
|
1994 |
|
| Anti de Sitter
|
$n$ |
Max. |
1917 |
|
| Bertotti-Robinson
|
$4$ |
$4$ |
1917 |
|
| Bianchi universe
|
$4$ |
$3$ ($\partial_x$, $\partial_y$, $\partial_z$) |
1951 |
|
| Bonnor beam
|
$4$ |
|
1969 |
|
| BTZ black hole
|
$3$ |
$2$ ($\partial_t$, $\partial_\theta$) |
1992 |
|
| Carter spacetime
|
$3$ |
|
1971 |
|
| Clifton-Pohl torus
|
$2$ |
|
1962 |
|
| Curzon solution
|
$4$ |
2 ($\partial \varphi$, $\partial t$) |
1925 |
|
| de Sitter
|
$n$ |
Max. |
1917 |
|
| de Sitter–Schwarzschild
|
$4$ |
$3$ ($\partial_t$, $\partial_\theta$, $\partial_\varphi$) |
1950 |
|
| Deutsch-Politzer
|
$2$ |
$0$ |
1991 |
|
| Einstein static universe
|
$4$ |
$7$ |
1917 |
|
| Einstein–de Sitter universe
|
$4$ |
|
1932 |
|
| Ellis-Bronnikov drainhole
|
$n$ |
$3$ ($\partial_t$, $\partial_\theta$, $\partial_\varphi$) |
1973 |
|
| FLRW
|
$n$ |
Isotropic, Homogeneous |
1922 |
|
| Friedman-Einstein universe
|
$4$ |
|
1931 |
|
| Gödel dust
|
$4$ |
$5$ |
1949 |
|
| Kerr
|
$4$ |
$2$ ($t$, $\theta$) |
1963 |
|
| Kerr-Newman
|
$4$ |
$2$ |
1965 |
|
| Kerr-Schild
|
$4$ |
|
1965 |
|
| Kim-Lee wormhole
|
$4$ |
|
2001 |
|
| Krasnikov tube
|
$n$ |
Varies |
1995 |
|
| Malament-Hogarth
|
$n$ |
$0$ |
1992 |
|
| Milne
|
$4$ |
|
1935 |
|
| Minkowski
|
$n$ |
Max. |
1909 |
|
| Misner space
|
$2$ |
Max. |
1967 |
|
| Mixmaster universe
|
$4$ |
$0$ |
1969 |
|
| Monochromatic electromagnetic plane wave
|
$4$ |
$6$ ($\partial_v$, $\partial_x$, $\partial_y$, ...) |
1973 |
|
| Morris-Thorne wormhole
|
$4$ |
$3$ |
1987 |
|
| Oppenheimer-Snyder collapse
|
$4$ |
$2$ |
1939 |
|
| Ozsváth–Schücking
|
$4$ |
$1$ |
1962 |
|
| pp-wave
|
$4$ |
$3$ ($\partial_x$, $\partial_y$, $\partial_v$) |
1924 |
|
| Reissner-Nordström
|
$4$ |
$3$ ($\partial_t$, $\partial_\theta$, $\partial_\varphi$) |
1916 |
|
| Schwarzschild
|
$4$ |
$3$ ($\partial_t$, $\partial_\theta$, $\partial_\varphi$) |
1916 |
|
| Spherically symmetric
|
$4$ |
$2$ |
1934 |
|
| Static
|
$n$ |
$1$ ($\partial_t$) |
1917 |
|
| Teo wormhole
|
$4$ |
$2$ ($\partial_t$, $\partial_\varphi$) |
1998 |
|
| Thunderbolt
|
$n$ |
|
1978 |
|
| Timelike cylinder
|
$n$ |
Max. |
1928 |
|
| Trousers
|
$2$ |
$0$ |
1985 |
|
| Type I Bianchi universe
|
$4$ |
$3$ |
1951 |
|
| Ultrastatic
|
$n$ |
$1$ ($\partial_t$) |
1977 |
|
| Vaidya
|
$4$ |
$2$ |
1943 |
|
| van Stockum dust
|
$4$ |
$3$ ($\partial_t$, $\partial_\theta$, $\partial_z$) |
1924 |
|
| Weyl waves
|
$4$ |
|
2015 |
|
| Weyl-Bach
|
$4$ |
$2$ |
1922 |
|