About: Fermi coordinates

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Fermi coordinates Goto Sponge NotDistinct Permalink

An Entity of Type : yago:Structure105726345, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/c/2DuAecMh5Q

In the mathematical theory of Riemannian geometry, there are two uses of the term Fermi coordinates.In one use they are local coordinates that are adapted to a geodesic. In a second, more general one, they are local coordinates that are adapted to any world line, even not geodesical. Take a future-directed timelike curve , being the proper time along in the spacetime . Assume that is the initial point of . Fermi coordinates adapted to are constructed this way. Consider an orthonormal basis of with parallel to .

Attributes	Values
rdf:type	yago:WikicatCoordinateSystemsInDifferentialGeometry yago:Abstraction100002137 yago:Arrangement105726596 yago:Cognition100023271 yago:CoordinateSystem105728024 yago:PsychologicalFeature100023100 yago:Structure105726345
rdfs:label	Fermi coordinates (en)
rdfs:comment	In the mathematical theory of Riemannian geometry, there are two uses of the term Fermi coordinates.In one use they are local coordinates that are adapted to a geodesic. In a second, more general one, they are local coordinates that are adapted to any world line, even not geodesical. Take a future-directed timelike curve , being the proper time along in the spacetime . Assume that is the initial point of . Fermi coordinates adapted to are constructed this way. Consider an orthonormal basis of with parallel to . (en)
dct:subject	Coordinate systems in differential geometry Riemannian geometry
Wikipage page ID	9632448 (xsd:integer)
Wikipage revision ID	1064849466 (xsd:integer)
Link from a Wikipage to another Wikipage	Proper reference frame (flat spacetime) World line Mathematics Christoffel symbols Enrico Fermi Geodesic Curvature Coordinate systems in differential geometry Riemannian geometry Isothermal coordinates Fermi-Walker transport Riemannian geometry Fermi–Walker transport Christoffel symbol Geodesic normal coordinates
sameAs	Fermi coordinates Fermi coordinates Fermi coordinates Fermi coordinates
dbp:wikiPageUsesTemplate	dbt:Reflist dbt:Short_description
has abstract	In the mathematical theory of Riemannian geometry, there are two uses of the term Fermi coordinates.In one use they are local coordinates that are adapted to a geodesic. In a second, more general one, they are local coordinates that are adapted to any world line, even not geodesical. Take a future-directed timelike curve , being the proper time along in the spacetime . Assume that is the initial point of . Fermi coordinates adapted to are constructed this way. Consider an orthonormal basis of with parallel to . Transport the basis along making use of Fermi-Walker's transport. The basis at each point is still orthonormal with parallel to and is non-rotated (in a precise sense related to the decomposition of Lorentz transformations into pure transformations and rotations) with respect to the initial basis, this is the physical meaning of Fermi-Walker's transport. Finally construct a coordinate system in an open tube , a neighbourhood of , emitting all spacelike geodesics through with initial tangent vector , for every . A point has coordinates where is the only vector whose associated geodesic reaches for the value of its parameter and is the only time along for that this geodesic reaching exists. If itself is a geodesic, then Fermi-Walker's transport becomes the standard parallel transport and Fermi's coordinates become standard Riemannian coordinates adapted to . In this case, using these coordinates in a neighbourhood of , we have , all Christoffel symbols vanish exactly on . This property is not valid for Fermi's coordinates however when is not a geodesic.Such coordinates are called Fermi coordinates and are named after the Italian physicist Enrico Fermi. The above properties are only valid on the geodesic. The Fermi-Coordinates adapted to a null geodesic is provided by Mattias Blau, Denis Frank, and Sebastian Weiss. Notice that, if all Christoffel symbols vanish near , then the manifold is flat near . (en)
prov:wasDerivedFrom	wikipedia-en:Fermi_coordinates?oldid=1064849466&ns=0
page length (characters) of wiki page	4328 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Fermi_coordinates
is Link from a Wikipage to another Wikipage of	Proper reference frame (flat spacetime) List of contributors to general relativity Rindler coordinates Normal coordinates Enrico Fermi Acceleration (special relativity) List of things named after Enrico Fermi Born rigidity Fermi's coordinates Fermi normal coordinates
is Wikipage redirect of	Fermi's coordinates Fermi normal coordinates
is foaf:primaryTopic of	wikipedia-en:Fermi_coordinates

Faceted Search & Find service v1.17_git147 as of Sep 06 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3332 as of Dec 5 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 68 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2025 OpenLink Software