6533b850fe1ef96bd12a85af

RESEARCH PRODUCT

On the relation between 2+1 Einstein gravity and Chern Simons theory

Hans-juergen Matschull

subject

PhysicsGravity (chemistry)Physics and Astronomy (miscellaneous)SpacetimeGeneral relativityChern–Simons theoryFOS: Physical sciencesGeneral Relativity and Quantum Cosmology (gr-qc)Gauge (firearms)General Relativity and Quantum CosmologyTheoretical physicssymbols.namesakeGeneral Relativity and Quantum CosmologyHigh Energy Physics::TheorySimple (abstract algebra)symbolsEinsteinRelation (history of concept)

description

A simple example is given to show that the gauge equivalence classes of physical states in Chern Simons theory are not in one-to-one correspondence with those of Einstein gravity in three spacetime dimensions. The two theories are therefore not equivalent. It is shown that including singular metrics into general relativity has more, and in fact a quite counter-intuitive, impact on the theory than one naively expects.

https://dx.doi.org/10.48550/arxiv.gr-qc/9903040