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Plane Gravitational Waves and Flat Space in Loop Quantum Gravity

  • Franz Hinterleitner
  • Seth Major
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 157)

Abstract

Classically a system of arbitrary plane gravitational waves propagating in the same or opposite directions can be restricted by first-class constraints to unidirectional waves, which travel without dispersion on a flat background. The unidirectionality constraints are formulated as well-defined Loop Quantum Gravity operators, together with criteria for an anomaly-free implantation, which is crucial for the occurrence or non-occurrence of dispersion, and more generally, of local Lorentz invariance violations due to (loop) quantum effects. By a set of further first-class constraints of the same kind we construct a quantum model of a no-wave state, i.e. of empty space.

Keywords

Poisson Bracket Loop Quantum Gravity Flat Space Hamiltonian Constraint Flux Operator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Department of Theoretical Physics and AstrophysicsMasaryk UniversityBrnoCzech Republic
  2. 2.Department of PhysicsHamilton CollegeClintonUSA

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