Static spherically symmetric solution in a KaluzaKlein type of metric
Abstract
A static spherically symmetric solution in vacuum is obtained in the fivedimensional variable gravity theory proposed recently by Wesson (1983, 1985). This solution generalizes an earlier 5D Schwarzschildlike solution obtained by Wesson. The solution is asymptotically flat, and various aspects of the model as regards the geodesic motion of a test particle, shape and stability of orbits, and red shift are also investigated, and a comparison made with the analogous cases of the 4D Schwarzschild metric. It is observed that there are significant differences between the two cases. The solution is also astrophysically important in the sense that it may represent the exterior gravitational field of any starlike object.
 Publication:

Astronomy and Astrophysics
 Pub Date:
 April 1990
 Bibcode:
 1990A&A...230....1C
 Keywords:

 Gravitation Theory;
 Relativistic Theory;
 SpaceTime Functions;
 Dimensions;
 Gravitational Fields;
 Schwarzschild Metric;
 Astrophysics