Topology and classical geometry in (2 + 1) gravity

Details Topology and classical geometry in (2 + 1) gravity Topology and classical geometry in (2 + 1) gravity

Mar 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996cqgra..13..433f&link_type=abstract

Classical and Quantum Gravity, Volume 13, Issue 3, pp. 433-460 (1996).

Computer Science

10

Scientific paper

The structure of the spacetime geometry in (2 + 1) gravity is described by means of a foliation in which the space-like surfaces admit a tessellation made of polygons. The dynamics of the system is determined by a set of 't Hooft's rules which specify the time evolution of the tessellation. We illustrate how the non-trivial topology of the universe can be described by means of 't Hooft's formalism. The classical geometry of a universe with the spatial topology of a torus is considered and the relation between 't Hooft's transitions and modular transformations is discussed. The universal covering of spacetime is constructed. The non-trivial topology of an expanding universe gives origin to a redshift effect; we compute the value of the corresponding `Hubble's constant'. Simple examples of tessellations for universes with the spatial topology of a surface with higher genus are presented.

Affiliated with

Also associated with

No associations

Rating

Topology and classical geometry in (2 + 1) gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Topology and classical geometry in (2 + 1) gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topology and classical geometry in (2 + 1) gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1645772