About: Gaussian polar coordinates

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In the theory of Lorentzian manifolds, spherically symmetric spacetimes admit a family of nested round spheres. In each of these spheres, every point can be carried to any other by an appropriate rotation about the center of symmetry.

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rdfs:label	Gaussian polar coordinates (en)
rdfs:comment	In the theory of Lorentzian manifolds, spherically symmetric spacetimes admit a family of nested round spheres. In each of these spheres, every point can be carried to any other by an appropriate rotation about the center of symmetry. (en)
dct:subject	Lorentzian manifolds Coordinate charts in general relativity
Wikipage page ID	2934261 (xsd:integer)
Wikipage revision ID	1099200679 (xsd:integer)
Link from a Wikipage to another Wikipage	Function (mathematics) Angle Lorentzian manifold Static spacetime Line element Frame fields in general relativity Isotropic coordinates Lorentzian manifolds Coordinate charts in general relativity Sphere Static spherically symmetric perfect fluid Spherically symmetric spacetime Schwarzschild coordinates Spacetime metric
sameAs	Gaussian polar coordinates Gaussian polar coordinates Gaussian polar coordinates Gaussian polar coordinates
dbp:wikiPageUsesTemplate	dbt:Relativity-stub dbt:Unreferenced_stub dbt:Math-physics-stub
auto	yes (en)
date	December 2009 (en)
has abstract	In the theory of Lorentzian manifolds, spherically symmetric spacetimes admit a family of nested round spheres. In each of these spheres, every point can be carried to any other by an appropriate rotation about the center of symmetry. There are several different types of coordinate chart which are adapted to this family of nested spheres, each introducing a different kind of distortion. The best known alternative is the Schwarzschild chart, which correctly represents distances within each sphere, but (in general) distorts radial distances and angles. Another popular choice is the isotropic chart, which correctly represents angles (but in general distorts both radial and transverse distances). A third choice is the Gaussian polar chart, which correctly represents radial distances, but distorts transverse distances and angles. There are other possible charts; the article on spherically symmetric spacetime describes a coordinate system with intuitively appealing features for studying infalling matter. In all cases, the nested geometric spheres are represented by coordinate spheres, so we can say that their roundness is correctly represented. (en)
prov:wasDerivedFrom	wikipedia-en:Gaussian_polar_coordinates?oldid=1099200679&ns=0
page length (characters) of wiki page	2638 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Gaussian_polar_coordinates
is Link from a Wikipage to another Wikipage of	Index of physics articles (G) Coordinate system Spherically symmetric spacetime Schwarzschild coordinates
is foaf:primaryTopic of	wikipedia-en:Gaussian_polar_coordinates

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