Galactic Metrics View Full Text


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Article Info

DATE

2004-11

AUTHORS

Mark D. Roberts

ABSTRACT

The paths of stars in galaxies have circular velocity independent of their distance from the centre of the galaxy. Newtonian mechanics with a logarithmic potential has such paths. In relativity these paths can be taken to be geodesics and this requirement places a restricting equation on the spacetime metric. This equation has a non-unique spherically symmetric solution that in the Newtonian limit has a logarithmic potential. It also can be solved in terms of a conformal factor. In particular it has solutions which are conformal to the vacuum-Einstein solutions and such spacetimes are solutions to the vacuum-Bach equations. Therefore it is suggested that the Bach equations describe dynamics on galactic length scales. More... »

PAGES

2423-2431

Identifiers

URI

http://scigraph.springernature.com/pub.10.1023/b:gerg.0000046830.85831.4a

DOI

http://dx.doi.org/10.1023/b:gerg.0000046830.85831.4a

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1005653576


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