2015/03/13 by J. E. Madriz Aguilar, C. Romero, J. B. Fonseca-Neto +2
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1088/0264-9381/32/21/215003
9 pages. arXiv admin note: text overlap with arXiv:1201.1469, arXiv:1101.5333
arxiv created 2015/03/13 · arxiv updated 2015/10/21
We investigate (2+1)-dimensional gravity in a Weyl integrable spacetime (WIST). We show that, unlike general relativity, this scalar-tensor theory has a Newtonian limit for any dimension and that in three dimensions the congruence of world lines of particles of a pressureless fluid has a non-vanishing geodesic deviation. We present and discuss a class of static vacuum solutions generated by a circularly symmetric matter distribution that for certain values of the parameter w corresponds to a space-time with a naked singularity at the center of the matter distribution. We interpret all these results as being a direct consequence of the space-time geometry.