Triangulation lines in stationary space-times with axial symmetry

Details Triangulation lines in stationary space-times with axial symmetry Triangulation lines in stationary space-times with axial symmetry

Sep 1983

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983ap%26ss..95...79c&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 95, no. 1, Sept. 1983, p. 79-85.

Astronomy and Astrophysics

Astrophysics

3

Astrometry, Celestial Reference Systems, Light Transmission, Relativity, Triangulation, Astronomical Coordinates, Coordinate Transformations, Extraterrestrial Radiation, Invariance, Space-Time Functions

Scientific paper

It is shown how a simple property of straight lines in flat space allows us to define 'triangulation lines' in any space with axial symmetry. This definition is invariant under coordinate transformation provided the symmetry group is used to define the angular coordinate. Triangulation lines possess many of the properties of straight lines in Euclidean geometry; in particular, the sum of the angles of a triangle whose sides are triangulation lines is equal to pi. Their geometrical properties make these lines especially suitable as reference lines with respect to which the bending of any curve - e.g., a photon track in a stationary, axisymmetric space-time, can be measured.

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