Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 32, Issue 21, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/32/21/215003
Keywords
lower dimensional gravity; Weyl geometry; alternative theories of gravity
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Funding
- Conacyt Mexico
- CNPq-CLAF
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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 n >= 3 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. corresponds to a spacetime with a naked singularity at the center of the matter distribution. We interpret all these results as being a direct consequence of the spacetime geometry.
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