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

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.

9 pages. arXiv admin note: text overlap with arXiv:1201.1469, arXiv:1101.5333

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Cited by in corpus (5)

• Einstein-aether theory in Weyl integrable geometry
• Inhomogeneous spacetimes in Weyl integrable geometry with matter source
• Integrability and Cosmological Solutions in Einstein-aether-Weyl theory
• Painlevé analysis for the cosmological field equations in Weyl Integrable Spacetime
• Dark energy from a geometrical gauge scalar-tensor theory of gravity