Gravitational Constraints which Generate a Lie Algebra

Abstract

The coupling of gravity to dust helps to discover simple quadratic combinations of the gravitational super-Hamiltonian and supermomentum whose Poisson brackets strongly vanish. This leads to a new form of vacuum constraints which generate a true Lie algebra. We show that the coupling of gravity to a massless scalar field leads to yet another set of constraints with the same property, albeit not as simple as that based on the coupling to dust.

10 pages, latex file, no figures

References in corpus (1)

• Dust as a Standard of Space and Time in Canonical Quantum Gravity

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