Admissible coordinate systems for static, spherically symmetric stellar models

Details Admissible coordinate systems for static, spherically symmetric stellar models Admissible coordinate systems for static, spherically symmetric stellar models

Dec 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977gregr...8..963o&link_type=abstract

General Relativity and Gravitation, vol. 8, Dec. 1977, p. 963-973.

Astronomy and Astrophysics

Astronomy

3

Astronomical Coordinates, Space-Time Functions, Stellar Models, Stellar Structure, Coordinate Transformations, Normal Density Functions, Spheroids, Symmetry

Scientific paper

For static, spherically symmetric stellar models it is shown that imposing the condition that the determinant of the metrical coefficients takes on its flat space-time value everywhere is sufficient to ensure that the coordinates are admissible in the sense of Lichnerowicz. The general method of solution is illustrated by integrating the equations for a star of constant, uniform density.

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