Astronomy and Astrophysics – Astrophysics
Scientific paper
Aug 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992ap%26ss.194..197g&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 194, no. 2, p. 197-205.
Astronomy and Astrophysics
Astrophysics
11
Astronomical Models, Einstein Equations, Galactic Structure, Gravitational Fields, Spiral Galaxies, Celestial Geodesy, Polar Coordinates, Universe
Scientific paper
The present analysis demonstrates with supporting empirical data that the flat rotation curves of spiral galaxies can be interpreted in terms of Einstein's cosmological constant. A galaxy model is employed that describes a centrally symmetic mass distribution with a constant mass density up to the boundary. The motion of a test particle within the model is analyzed to obtain the tangential velocity of the particle that leads to nearly flat rotation curves. A value is derived for the cosmological constant that leads to a small maximum age for the universe, and comparisons with empirical data show that a cosmological function can replace the cosmological constant. By assuming a negative cosmological constant in Einstein's field equations of gravitation the flatness of the rotation curves of spiral galaxies can be explained, although the theoretical age of the universe is thereby reduced.
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