In general relativity, an exact solution is a (typically closed form) solution of the Einstein field equations whose derivation does not invoke simplifying...
25 KB (3,329 words) - 04:46, 13 January 2025
in a Lorentzian manifold is a region in which the Einstein tensor vanishes. Vacuum solutions are a special case of the more general exact solutions in...
6 KB (841 words) - 01:45, 16 January 2025
The two-body problem in general relativity (or relativistic two-body problem) is the determination of the motion and gravitational field of two bodies...
48 KB (6,744 words) - 15:20, 13 May 2025
In general relativity, a dust solution is a fluid solution, a type of exact solution of the Einstein field equation, in which the gravitational field...
6 KB (812 words) - 14:37, 8 February 2024
Kerr metric (redirect from Kerr solution)
is an exact solution of the Einstein field equations of general relativity; these equations are highly non-linear, which makes exact solutions very difficult...
53 KB (6,963 words) - 22:11, 27 February 2025
Non-exact solutions in general relativity are solutions of Albert Einstein's field equations of general relativity which hold only approximately. These...
2 KB (197 words) - 02:26, 5 October 2016
Schwarzschild metric (redirect from Schwarzschild Solution)
In Einstein's theory of general relativity, the Schwarzschild metric (also known as the Schwarzschild solution) is an exact solution to the Einstein field...
39 KB (5,197 words) - 20:32, 24 March 2025
Gravitational plane wave (category Exact solutions in general relativity)
"non-flat solutions of Albert Einstein’s empty spacetime field equation". They are a special class of a vacuum pp-wave spacetime. In general relativity, the...
2 KB (304 words) - 04:18, 30 December 2024
Pp-wave spacetime (category Exact solutions in general relativity)
In general relativity, the pp-wave spacetimes, or pp-waves for short, are an important family of exact solutions of Einstein's field equation. The term...
23 KB (3,411 words) - 19:15, 18 April 2025
In general relativity, an electrovacuum solution (electrovacuum) is an exact solution of the Einstein field equation in which the only nongravitational...
13 KB (1,982 words) - 12:13, 7 April 2025
Alcubierre drive (category Exact solutions in general relativity)
bubbles/fields into the in-universe science.[citation needed] EmDrive Exact solutions in general relativity (for more on the sense in which the Alcubierre...
45 KB (5,556 words) - 06:19, 12 March 2025
In general relativity, a fluid solution is an exact solution of the Einstein field equation in which the gravitational field is produced entirely by the...
11 KB (2,174 words) - 20:14, 25 October 2024
Minkowski space (redirect from Geometry of special relativity)
theories of special relativity and general relativity and is the most common mathematical structure by which special relativity is formalized. While...
78 KB (10,458 words) - 04:13, 13 April 2025
Anti-de Sitter space (category Exact solutions in general relativity)
space (zero), and anti-de Sitter space (negative). As such, they are exact solutions of the Einstein field equations for an empty universe with a positive...
30 KB (4,829 words) - 06:47, 2 May 2025
Kerr–Newman metric (redirect from Kerr-Newman solution)
Kerr–Newman solution is a special case of more general exact solutions of the Einstein–Maxwell equations with non-zero cosmological constant. In December...
31 KB (4,780 words) - 18:53, 13 May 2025
Friedmann–Lemaître–Robertson–Walker metric (category Exact solutions in general relativity)
specifically to the equations of general relativity, which were always assumed by Friedmann and Lemaître). This solution, often called the Robertson–Walker...
26 KB (3,625 words) - 09:48, 14 May 2025
Static universe (category Exact solutions in general relativity)
his preferred cosmology during 1917, in his paper Cosmological Considerations in the General Theory of Relativity. After the discovery of the redshift-distance...
9 KB (1,087 words) - 13:02, 9 September 2024
Reissner–Nordström metric (redirect from Reissner-Nordström solution)
Introduction to General Relativity. New York: McGraw-Hill Book Company. pp. 395–401. ISBN 978-0-07-000420-7. Wald, Robert M. (1984). General Relativity. Chicago:...
19 KB (3,497 words) - 15:50, 15 December 2024
Gödel metric (redirect from Gödel solution)
Dust solution, an article about dust solutions in general relativity. Gödel, Kurt (1949-07-01). "An Example of a New Type of Cosmological Solutions of Einstein's...
25 KB (3,872 words) - 16:04, 30 April 2025
be one of the simplest and most useful solutions to the Einstein field equations.[citation needed] Working in a coordinate chart with coordinates ( r...
17 KB (3,716 words) - 14:05, 11 May 2025
In general relativity, a frame field (also called a tetrad or vierbein) is a set of four pointwise-orthonormal vector fields, one timelike and three spacelike...
27 KB (5,003 words) - 05:45, 31 March 2025
Kasner metric (category Exact solutions in general relativity)
American mathematician Edward Kasner in 1921) is an exact solution to Albert Einstein's theory of general relativity. It describes an anisotropic universe...
5 KB (769 words) - 01:11, 3 September 2024
Static spherically symmetric perfect fluid (category Exact solutions in general relativity)
list here a few milestones in the history of exact ssspf solutions in general relativity: 1916: Schwarzschild fluid solution, 1939: The relativistic equation...
8 KB (923 words) - 16:10, 23 November 2024
Aichelburg–Sexl ultraboost (category Exact solutions in general relativity)
In general relativity, the Aichelburg–Sexl ultraboost is an exact solution which models the spacetime of an observer moving towards or away from a spherically...
3 KB (427 words) - 15:14, 25 November 2022
Higher-dimensional Einstein gravity (category Exact solutions in general relativity)
Einstein's gravitational theory, that is, general relativity. This attempt at generalisation has been strongly influenced in recent decades by string theory. At...
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spacetime can be interpreted as an exact solution of Einstein's field equation, in which the only mass–energy present in the spacetime is due to some kind...
5 KB (752 words) - 07:29, 8 April 2025
Raychaudhuri equation (category General relativity)
and for the study of exact solutions in general relativity, but has independent interest, since it offers a simple and general validation of our intuitive...
12 KB (1,775 words) - 23:59, 7 May 2025
Interior Schwarzschild metric (redirect from Interior Schwarzschild solution)
In Einstein's theory of general relativity, the interior Schwarzschild metric (also interior Schwarzschild solution or Schwarzschild fluid solution) is...
12 KB (1,931 words) - 12:04, 6 February 2025
Petrov classification (category Exact solutions in general relativity)
Physics portal Classification of electromagnetic fields Exact solutions in general relativity Segre classification Peeling theorem Plebanski tensor Goldberg–Sachs...
17 KB (2,699 words) - 02:03, 25 May 2024
In general relativity, a lambdavacuum solution is an exact solution to the Einstein field equation in which the only term in the stress–energy tensor is...
6 KB (927 words) - 22:16, 9 February 2025