Noncovariance of the dressed-metric approach in loop quantum cosmology
Martin Bojowald
Abstract
The dressed-metric approach is shown to violate general covariance by demonstrating that it cannot have an off-shell completion in which the correct infinitesimal relations of space-time hypersurface deformations are realized. The main underlying reason---a separation of background degrees of freedom and modes of inhomogeneity that is incompatible with covariance---is shared with other approaches such as hybrid loop quantum cosmology.
Topics & Concepts
Loop quantum cosmologyMetric (unit)InfinitesimalCosmologyHypersurfaceCovarianceQuantum cosmologyDegrees of freedom (physics and chemistry)Theoretical physicsLoop quantum gravityPhysicsQuantumLoop (graph theory)Classical mechanicsQuantum gravityMathematicsQuantum mechanicsPure mathematicsMathematical analysisEngineeringCombinatoricsStatisticsOperations managementNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical PhysicsCosmology and Gravitation Theories