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

recovers the previous notion. Geodesics are of particular importance in general relativity. Timelike geodesics in general relativity describe the motion of free...

The mathematics of general relativity is complicated. In Newton's theories of motion, an object's length and the rate at which time passes remain constant...

General relativity, also known as the general theory of relativity, and as Einstein's theory of gravity, is the geometric theory of gravitation published...

General relativity is a theory of gravitation developed by Albert Einstein between 1907 and 1915. The theory of general relativity says that the observed...

Tests of general relativity serve to establish observational evidence for the theory of general relativity. The first three tests, proposed by Albert...

and special relativity, or interpreted as the curvature of spacetime and the motion of matter along the geodesics in general relativity. When quantum...

for general relativity, including the motivation for the geodesic equation and the Einstein field equation, can be obtained from special relativity by...

modified by general relativity are described below. Classical mechanics and special relativity are lumped together here because special relativity is in many...

General relativity does not offer a single definition of the term mass, but offers several different definitions that are applicable under different circumstances...

in general relativity that attempt to answer the question of when gravitation produces singularities. The Penrose singularity theorem is a theorem in...

concepts of general relativity can be outlined outside the relativistic domain. In particular, the idea that mass–energy generates curvature in space and...

the geodesic equations is a procedure used in mathematics, particularly Riemannian geometry, and in physics, particularly in general relativity, that...

In general relativity, if two objects are set in motion along two initially parallel trajectories, the presence of a tidal gravitational force will cause...

In general relativity, Schwarzschild geodesics describe the motion of test particles in the gravitational field of a central fixed mass M , {\textstyle...

in the framework of special relativity, the Maxwell equations have the same form in all inertial frames of reference. In the framework of general relativity...

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

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

The theory of relativity usually encompasses two interrelated physics theories by Albert Einstein: special relativity and general relativity, proposed and...

is not geodesically complete. This can be seen by tracing outward-moving radial null geodesics backwards in time. The outward-moving geodesics correspond...

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...

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, a congruence (more properly, a congruence of curves) is the set of integral curves of a (nowhere vanishing) vector field in a four-dimensional...

mathematical tools for general relativity), Allvar Gullstrand (Gullstrand–Painlevé coordinates) Yusuke Hagihara (Schwarzschild geodesics), Mustafa Halilsoy...

preserving property, the most important of which in general relativity include the following: preserving geodesics of the spacetime preserving the metric tensor...

In general relativity, curvature invariants are a set of scalars formed from the Riemann, Weyl and Ricci tensors — which represent curvature, hence the...

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...

(1922) using the general theory of relativity, can also be derived using only Newtonian mechanics. Milne's alternative to general relativity theory based...

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...

parameters Formation and evolution of the Solar System Geodesic (in mathematics) Geodesics in general relativity Geodesy History of Earth History of geodesy Inner...