General Relativity and Gravitation

, Volume 23, Issue 6, pp 661–669 | Cite as

The loop space representation of 2+1 gravity: Physical observables, variational principles, and the issue of time

  • Chetan Nayak
Research Articles


We consider the loop space representation of Rovelli and Smolin as the starting point for the analysis of quantum gravity in 2+1 dimensions. To do so, we introduce observables directly within this representation and consider the problem of its Lagrangian formulation. The implications of this framework for the issue of time are discussed and the extension of these results to 3+1 gravity is also considered.


Variational Principle Quantum Gravity Differential Geometry Space Representation Lagrangian Formulation 
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Copyright information

© Plenum Publishing Corporation 1991

Authors and Affiliations

  • Chetan Nayak
    • 1
  1. 1.Department of PhysicsHarvard UniversityCambridgeUSA

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