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arXiv · 1503.04186

(2+1)-Dimensional Gravity in Weyl Integrable Spacetime

J. E. Madriz Aguilar·C. Romero·J. B. Fonseca-Neto·T. S. Almeida·J. B. Formiga
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Abstract

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.

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J. E. Madriz Aguilar, C. Romero, J. B. Fonseca-Neto, T. S. Almeida, J. B. Formiga. 2015-03-13. (2+1)-Dimensional Gravity in Weyl Integrable Spacetime. https://doi.org/10.1088/0264-9381/32/21/215003

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