In general relativity, the Weyl–Lewis–Papapetrou coordinates are used in solutions to the vacuum region surrounding an axisymmetric distribution of mass–energy...

known for the Mathisson–Papapetrou–Dixon equations, the Majumdar–Papapetrou solution, and the Weyl−Lewis−Papapetrou coordinates of gravity theory. He worked...

transform Weyl transformation Weyl vector of a compact Lie group Weyl–Brauer matrices Weyl−Lewis−Papapetrou coordinates Weyl–Schouten theorem Weyl–von Neumann...

metric, Isotropic coordinates, Lemaître–Tolman metric, Peres metric, Rindler coordinates, Weyl–Lewis–Papapetrou coordinates, Gödel metric. Some of...

In physics, specifically general relativity, the Mathisson–Papapetrou–Dixon equations describe the motion of a massive spinning body moving in a gravitational...

corresponding to Newtonian gravitational potential) which appears the Weyl–Papapetrou chart for the Ernst family of all stationary axisymmetric vacuum solutions...

symmetric. Rewriting the metric in spherical coordinates reduces four coordinates to three coordinates. The radial coordinate is written as a product...

Schwarzschild coordinates Kruskal–Szekeres coordinates Eddington–Finkelstein coordinates Gullstrand–Painlevé coordinates Lemaître coordinates (Schwarzschild...

{\displaystyle M\geq {\sqrt {Q^{2}+P^{2}}},} with equality for the Majumdar–Papapetrou extremal black hole solutions. An initial data set consists of a Riemannian...

radiation, and a massless spinor exhibiting axial symmetry. In the Weyl-Lewis-Papapetrou spacetime, there exists a complete set of exact solutions for both...

Lemaître coordinates are a particular set of coordinates for the Schwarzschild metric—a spherically symmetric solution to the Einstein field equations...

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

within the event horizon.: 25–36  Alternatively, using a set of infalling coordinates in general relativity, one can conceptualize the event horizon as the...

1928, German mathematician, philosopher and theoretical physicist Hermann Weyl proposed a wormhole hypothesis of matter in connection with mass analysis...

upon what coordinates or coordinate conditions are selected. Two forms are given below: Boyer–Lindquist coordinates, and Kerr–Schild coordinates. The gravitational...

Tensor index notation and Einstein summation notation). If Cartesian coordinates in SI units are used, then the components of the position four-vector...

of the propagation of radiation in curved spacetime. The Weyl scalars, derived from the Weyl tensor, are often used. In particular, it can be shown that...

1921 by Hans Reissner, Hermann Weyl, Gunnar Nordström and George Barker Jeffery independently. In spherical coordinates ⁠ ( t , r , θ , φ ) {\displaystyle...

account the cosmological constant Λ {\displaystyle \Lambda } . In those coordinates the local clocks and rulers are at constant r {\displaystyle {\rm {r}}}...

longitudinal–longitudinal, transverse–longitudinal, and transverse–transverse by Hermann Weyl. However, the nature of Einstein's approximations led many (including Einstein...

of concepts such as vectors, tensors, pseudotensors and curvilinear coordinates. For an introduction based on the example of particles following circular...

universe Introduction to the mathematics of general relativity Normal coordinates Systolic geometry Riemann–Cartan geometry in Einstein–Cartan theory (motivation)...

d y , d z {\displaystyle dx,dy,dz} are small increments in the three coordinates x , y , z {\displaystyle x,y,z} of the clock's position, − G M i r i...

event can be labeled by four numbers: a time coordinate and three space coordinates; thus spacetime is a four-dimensional space. The mathematical term for...

from the event horizon. For an observer outside using Schwarzschild coordinates, infalling particles take an infinite time to reach the black hole horizon...

Stockum dust Weyl−Lewis−Papapetrou Hartle–Thorne Scientists Einstein Lorentz Hilbert Poincaré Schwarzschild de Sitter Reissner Nordström Weyl Eddington Friedmann...

makes space locally Minkowskian (that is, in suitable locally inertial coordinates, the metric is Minkowskian, and its first partial derivatives and the...

surface can be described by two coordinates: the geographic latitude and longitude. Unlike the Cartesian coordinates of the plane, coordinate differences...

particle. The Christoffel symbols are functions of the four spacetime coordinates and so are independent of the velocity or acceleration or other characteristics...

space any point can be specified by n real numbers. These are called the coordinates of the point. An n-dimensional differentiable manifold is a generalisation...