Geometry and observables in (2+1)-gravity

Details Geometry and observables in (2+1)-gravity Geometry and observables in (2+1)-gravity

2010-01-28

arxiv.org/abs/1001.5227v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Talk given at 2nd School and Workshop on Quantum Gravity and Quantum Geometry (Corfu, September 13-20 2009); 10 pages, 13 eps

Scientific paper

We review the geometrical properties of vacuum spacetimes in (2+1)-gravity with vanishing cosmological constant. We explain how these spacetimes are characterised as quotients of their universal cover by holonomies. We explain how this description can be used to clarify the geometrical interpretation of the fundamental physical variables of the theory, holonomies and Wilson loops. In particular, we discuss the role of Wilson loop observables as the generators of the two fundamental transformations that change the geometry of (2+1)-spacetimes, grafting and earthquake. We explain how these variables can be determined from realistic measurements by an observer in the spacetime.

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