Gravitational Constraints which Generate a Lie Algebra

Details Gravitational Constraints which Generate a Lie Algebra Gravitational Constraints which Generate a Lie Algebra

1995-01-09

arxiv.org/abs/gr-qc/9501005v1

Phys.Rev. D51 (1995) 5579-5582

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, latex file, no figures

Scientific paper

10.1103/PhysRevD.51.5579

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.

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