(2+1)-dimensional gravity in Weyl integrable spacetime. (7th October 2015)

• Record Type: Journal Article
• Authors: Aguilar, J E Madriz; Romero, C; Fonseca Neto, J B; Almeida, T S; Formiga, J B
• Is Part Of: Classical and quantum gravity. Volume 32:Number 21(2015:Nov.)
• Publication Date: 2015-10-07
• Subjects: lower dimensional gravity -- Weyl geometry -- alternative theories of gravity; 04.20.Jb -- 11.10.kk -- 98.80.Cq; Quantum gravity -- Periodicals; Gravitation -- Periodicals; Relativity (Physics) -- Periodicals; Space and time -- Periodicals; Periodicals; 521.1
• DOI: 10.1088/0264-9381/32/21/215003
• Languages: English
• ISSNs: 0264-9381

Abstract

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 ω 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.