In general relativity, an exact solution is a (typically closed form) solution of the Einstein field equations whose derivation does not invoke simplifying...

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...

Non-exact solutions in general relativity are solutions of Albert Einstein's field equations of general relativity which hold only approximately. These...

assumption beyond those of standard general relativity to prevent time travel. Some exact solutions in general relativity such as Alcubierre drive present...

In general relativity, an electrovacuum solution (electrovacuum) is an exact solution of the Einstein field equation in which the only nongravitational...

In Einstein's theory of general relativity, the Schwarzschild metric (also known as the Schwarzschild solution) is an exact solution to the Einstein field...

Solutions of the Einstein field equations are metrics of spacetimes that result from solving the Einstein field equations (EFE) of general relativity...

is an exact solution of the Einstein field equations of general relativity; these equations are highly non-linear, which makes exact solutions very difficult...

to general relativity are physical theories that attempt to describe the phenomenon of gravitation in competition with Einstein's theory of general relativity...

theory of general relativity required the adaptation of existing theories of physical, electromagnetic, and quantum effects to account for non-Euclidean...

his preferred cosmology during 1917, in his paper Cosmological Considerations in the General Theory of Relativity. After the discovery of the redshift-distance...

The two-body problem in general relativity (or relativistic two-body problem) is the determination of the motion and gravitational field of two bodies...

The Schwarzschild solution describes spacetime under the influence of a massive, non-rotating, spherically symmetric object. It is considered by some to...

General relativity is a theory of gravitation that was developed by Albert Einstein between 1907 and 1915, with contributions by many others after 1915...

In general relativity, the monochromatic electromagnetic plane wave spacetime is the analog of the monochromatic plane waves known from Maxwell's theory...

In the general theory of relativity, the Einstein field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution...

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...

Einstein's gravitational theory, that is, general relativity. This attempt at generalisation has been strongly influenced in recent decades by string theory. At...

vacuum solution (general relativity) "Gravitational waves in general relativity III. Exact plane waves". Proceedings of the Royal Society of London. Series...

In physics, the special theory of relativity, or special relativity for short, is a scientific theory of the relationship between space and time. In Albert...

In general relativity, a geodesic generalizes the notion of a "straight line" to curved spacetime. Importantly, the world line of a particle free from...

In general relativity, the metric tensor (in this context often abbreviated to simply the metric) is the fundamental object of study. The metric captures...

In general relativity, the Vaidya metric describes the non-empty external spacetime of a spherically symmetric and nonrotating star which is either emitting...

In Einstein's theory of general relativity, the interior Schwarzschild metric (also interior Schwarzschild solution or Schwarzschild fluid solution) is...

A de Sitter universe is a cosmological solution to the Einstein field equations of general relativity, named after Willem de Sitter. It models the universe...

motion is the motion of an object with constant proper acceleration in special relativity. It is called hyperbolic motion because the equation describing...

another rotating dust solution with (true) cylindrical symmetry, Dust solution, an article about dust solutions in general relativity. Gödel, Kurt (1949-07-01)...

Kerr–Newman solution is a special case of more general exact solutions of the Einstein–Maxwell equations with non-zero cosmological constant. In December...

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...

Albert Einstein's theory of general relativity, various mathematical structures and techniques are utilized. The main tools used in this geometrical theory...