https://en.formulasearchengine.com/api.php?action=feedcontributions&feedformat=atom&user=213.57.41.123formulasearchengine - User contributions [en]2026-05-31T05:05:08ZUser contributionsMediaWiki 1.43.0-wmf.28https://en.formulasearchengine.com/index.php?title=Chromatic_circle&diff=8465Chromatic circle2013-10-12T11:41:33Z<p>213.57.41.123: </p>
<hr />
<div>{{Unreferenced|date=March 2009}}<br />
In [[general relativity]], a '''gravitational plane wave''' is a special class of a vacuum [[pp-wave spacetime]], and may be defined in terms of [[Brinkmann coordinates]] by<br />
<br />
<math>ds^2=[a(u)(x^2-y^2)+2b(u)xy]du^2+2dudv+dx^2+dy^2</math><br />
<br />
Here, <math>a(u), b(u)</math> can be any [[smooth function]]s; they control the [[waveform]] of the two possible [[Polarization (waves)|polarization]] modes of [[gravitational radiation]]. In this context, these two modes are usually called the '''plus mode''' and '''cross mode''', respectively.<br />
<br />
==See also==<br />
<br />
*[[vacuum solution (general relativity)]]<br />
<br />
[[Category:Exact solutions in general relativity]]</div>213.57.41.123