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- Brinkmann_coordinates abstract "Brinkmann coordinates (named for Hans Brinkmann) are a particular coordinate system for a spacetime belonging to the family of pp-wave metrics. In terms of these coordinates, the metric tensor can be written aswhere , the coordinate vector field dual to the covector field , is a null vector field. Indeed, geometrically speaking, it is a null geodesic congruence with vanishing optical scalars. Physically speaking, it serves as the wave vector defining the direction of propagation for the pp-wave.The coordinate vector field can be spacelike, null, or timelike at a given event in the spacetime, depending upon the sign of at that event. The coordinate vector fields are both spacelike vector fields. Each surface can be thought of as a wavefront.In discussions of exact solutions to the Einstein field equation, many authors fail to specify the intended range of the coordinate variables . Here we should taketo allow for the possibility that the pp-wave develops a null curvature singularity.".
- Brinkmann_coordinates wikiPageID "1932484".
- Brinkmann_coordinates wikiPageRevisionID "500113658".
- Brinkmann_coordinates hasPhotoCollection Brinkmann_coordinates.
- Brinkmann_coordinates subject Category:Coordinate_charts_in_general_relativity.
- Brinkmann_coordinates type Abstraction100002137.
- Brinkmann_coordinates type Chart106999802.
- Brinkmann_coordinates type Communication100033020.
- Brinkmann_coordinates type CoordinateChartsInGeneralRelativity.
- Brinkmann_coordinates type VisualCommunication106873252.
- Brinkmann_coordinates comment "Brinkmann coordinates (named for Hans Brinkmann) are a particular coordinate system for a spacetime belonging to the family of pp-wave metrics. In terms of these coordinates, the metric tensor can be written aswhere , the coordinate vector field dual to the covector field , is a null vector field. Indeed, geometrically speaking, it is a null geodesic congruence with vanishing optical scalars.".
- Brinkmann_coordinates label "Brinkmann coordinates".
- Brinkmann_coordinates sameAs m.0672t5.
- Brinkmann_coordinates sameAs Q4968435.
- Brinkmann_coordinates sameAs Q4968435.
- Brinkmann_coordinates sameAs Brinkmann_coordinates.
- Brinkmann_coordinates wasDerivedFrom Brinkmann_coordinates?oldid=500113658.
- Brinkmann_coordinates isPrimaryTopicOf Brinkmann_coordinates.