Nordström gravity coupled to point particles in (1+1) dimensions

Nordström gravity coupled to point particles in (1þ 1) dimensions

A.D. Boozer Department of Physics, California Institute of Technology, Pasadena, California 91125, USA (Received 26 October 2009; published 18 March 2010) We consider a (1þ 1)-dimensional model of general relativity that is based on a geometric theory of gravity due to Nordström. We show that the theory is formally equivalent to scalar field theory in flat spacetime, and we exploit this equival...

Noncommutative gravity in three dimensions coupled to point-like sources

Noncommutative gravity in three dimensions with no cosmological constant is reviewed. We find a solution which describes the presence of a torsional source. 1 What does ‘noncommutative’ mean? Please see [1] for a review of noncommutative field theory, if you want to study more. Consider noncommutative coordinates, for example [x, y ] = i θ , (1) where θ is a real constant. Then the ‘uncertainty...

Cylinder Coupled to Point Particles

We study a model of quantum Yang–Mills theory with a finite number of gauge invariant degrees of freedom. The gauge field has only a finite number of degrees of freedom since we assume that space–time is a two dimensional cylinder. We couple the gauge field to matter, modeled by either one or two nonrelativistic point particles. These problems can be solved without any gauge fixing, by generali...

Some approaches to 2 + 1 - dimensional gravity coupled to point - particles

Noncommutative gravity in three dimensions coupled to spinning sources

Noncommutative gravity in three dimensions with vanishing cosmological constant is examined. We find a solution which describes a spacetime in the presence of a torsional source. We estimate the phase shift for each partial wave of a scalar field in the spacetime by the Born approximation. PACS number(s): 04.60.Kz, 11.10.Kk, 11.80.Et, 11.80.Fv Typeset using REVTEX Email address: [email protected]...