In general relativity, the Weyl metrics (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...

body is given by the Kerr–Newman metric. The metric was discovered between 1916 and 1921 by Hans Reissner, Hermann Weyl, Gunnar Nordström and George Barker...

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...

theoretical physics, the Weyl transformation, named after German mathematician Hermann Weyl, is a local rescaling of the metric tensor: g a b → e − 2 ω...

Weyl equation is a relativistic wave equation for describing massless spin-1/2 particles which have an inherent handedness, or chirality, called Weyl...

mature method to distort the standard Schwarzschild metric is restricted to the framework of Weyl metrics. All static axisymmetric solutions of the Einstein–Maxwell...

Weyl multipole moments discussed below. Kerr, Roy P. (1963). "Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics"...

MathWorld. Weisstein, Eric W. "Weyl's Criterion". MathWorld. Weyl's Criterion at PlanetMath. Lecture notes by Charles Walkden with proof of Weyl's Criterion...

Einstein and Hermann Weyl. Specifically, if M {\displaystyle M} is a manifold with a conformal metric [ g ] {\displaystyle [g]} , then a Weyl connection is by...

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...

metrics describe the spacetime geometry of a wormhole and serve as theoretical models for time travel. An example of a (traversable) wormhole metric is...

any flat metric is Ricci-flat. The study of flat metrics is usually considered as a topic unto itself. As such, the study of Ricci-flat metrics is only...

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...

families of solutions which are asymptotically flat, such as the AF Weyl metrics and their rotating generalizations, the AF Ernst vacuums (the family...

coordinates, Lemaître–Tolman metric, Peres metric, Rindler coordinates, Weyl–Lewis–Papapetrou coordinates, Gödel metric. Some of them are without the...

the signature of the metric is (1, n−1) (equivalently, (n−1, 1); see Sign convention). Such metrics are called Lorentzian metrics. They are named after...

Weyl group Weyl integral Weyl integration formula Weyl law Weyl metrics Weyl module Weyl notation Weyl quantization Weyl relations Weyl scalar Weyl semimetal...

general relativity Stress–energy tensor Metric tensor (general relativity) Relativistic angular momentum Weyl metrics Weyl, Hermann (1917). "Zur Gravitationstheorie"...

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...

Conformastatic disk-haloes in Einstein-Maxwell gravity. Physical Review D 87 (2013): 044010. arXiv:1211.4941[gr-qc] Weyl metrics Reissner–Nordström metric...

&-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...

Coxeter groups include the symmetry groups of regular polytopes, and the Weyl groups of simple Lie algebras. Examples of infinite Coxeter groups include...

the entire manifold, and many special metrics such as constant scalar curvature metrics and Kähler–Einstein metrics are constructed intrinsically using...

The Friedmann–Lemaître–Robertson–Walker metric (FLRW; /ˈfriːdmən ləˈmɛtrə ... /) is a metric that describes a homogeneous, isotropic, expanding (or otherwise...

In relativistic cosmology, Weyl's postulate stipulates that in the Friedmann model of the universe (a fluid cosmological model), the wordlines of fluid...

tensor, the Ricci tensor, and the scalar curvature, the Weyl tensor of a pseudo-Riemannian metric g of dimension n is given by W i j k l = R i j k l − R...

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...

equivalence class of such metrics is known as a conformal metric or conformal class. Thus, a conformal metric may be regarded as a metric that is only defined...

metric to be conformally flat; instead, the corresponding necessary and sufficient condition in these higher dimensions is the vanishing of the Weyl tensor...