We consider a (1+1)-dimensional model of general relativity that is based on a geometric theory of gravity due to Nordström. We show that the model can be reinterpreted as a scalar field theory in flat spacetime in which the scalar field couples to the trace of the total energy-momentum tensor, and we use the flat-spacetime interpretation to formulate the initial value problem for the model. We illustrate our results by using computer simulations of the model to obtain several example solutions.
|Physical Review D - Particles, Fields, Gravitation and Cosmology
|Published - Jul 19 2011
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)