In general relativity, the Weyl metrics (named after the German-American mathematician Hermann Weyl)[1] are a class of static and axisymmetric solutions to Einstein's field equation. Three members in the renowned Kerr–Newman family solutions, namely the Schwarzschild, nonextremal Reissner–Nordström and extremal Reissner–Nordström metrics, can be identified as Weyl-type metrics.
^Weyl, H., "Zur Gravitationstheorie," Ann. der Physik54 (1917), 117–145.
In general relativity, the Weylmetrics (named after the German-American mathematician Hermann Weyl) are a class of static and axisymmetric solutions to...
In differential geometry, the Weyl curvature tensor, named after Hermann Weyl, is a measure of the curvature of spacetime or, more generally, a pseudo-Riemannian...
metric signature, this realization of spinors as column vectors may be irreducible or it may decompose into a pair of so-called "half-spin" or Weyl representations...
Wigner–Weyl transform, for another definition of the Weyl transform. In theoretical physics, the Weyl transformation, named after Hermann Weyl, is a local...
Weyl multipole moments discussed below. Kerr, Roy P. (1963). "Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics"...
quantum field theory, the Weyl equation is a relativistic wave equation for describing massless spin-1/2 particles called Weyl fermions. The equation is...
mature method to distort the standard Schwarzschild metric is restricted to the framework of Weylmetrics. All static axisymmetric solutions of the Einstein–Maxwell...
nonvanishing Weyl-NP scalar. As a natural and simplest extension of the Schwazschild metric, the Vaidya metric still has a lot in common with it: Both metrics are...
MathWorld. Weisstein, Eric W. "Weyl's Criterion". MathWorld. Weyl's Criterion at PlanetMath. Lecture notes by Charles Walkden with proof of Weyl's Criterion...
1928, German mathematician, philosopher and theoretical physicist Hermann Weyl proposed a wormhole hypothesis of matter in connection with mass analysis...
In differential geometry, a Weyl connection (also called a Weyl structure) is a generalization of the Levi-Civita connection that makes sense on a conformal...
A conformal anomaly, scale anomaly, trace anomaly or Weyl anomaly is an anomaly, i.e. a quantum phenomenon that breaks the conformal symmetry of the classical...
such metrics on K3, 57 parameters of which give rise to Einstein metrics which are not related by isometries or rescalings. Kähler–Einstein metrics exist...
Coxeter groups include the symmetry groups of regular polytopes, and the Weyl groups of simple Lie algebras. Examples of infinite Coxeter groups include...
In the mathematical field of differential geometry, a metric tensor (or simply metric) is an additional structure on a manifold M (such as a surface)...
combinatorial geometry, the Weyl distance function is a function that behaves in some ways like the distance function of a metric space, but instead of taking...
&-1&~~0&~~0\\1&~~0&~~0&~~0\end{pmatrix}}~.} Another common choice is the Weyl or chiral basis, in which γ k {\displaystyle \gamma ^{k}} remains the same...
In mathematics, a metric connection is a connection in a vector bundle E equipped with a bundle metric; that is, a metric for which the inner product...
families of solutions which are asymptotically flat, such as the AF Weylmetrics and their rotating generalizations, the AF Ernst vacuums (the family...
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