Extending the rigidity of general relativity
arXiv:1608.08236 · doi:10.1063/1.4967951
Abstract
We give the most general conditions to date which lead to uniqueness of the general relativistic Hamiltonian. Namely, we show that all spatially covariant generalizations of the scalar constraint which extend the standard one while remaining quadratic in the momenta are second class. Unlike previous investigations along these lines, we do not require a specific Poisson bracket algebra, and the quadratic dependence on the momenta is completely general, with an arbitrary local operator as the kinetic term.
25 pages, references added, version published in J. Math. Phys
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- General Covariance from the Quantum Renormalization Group
- Extending general covariance: Moyal-type noncommutative manifolds
- Local(ish) gravity theories in conformal superspace