Gravitational constraints that generate a Lie algebra

Karel V. Kuchař, Joseph D. Romano

Research output: Contribution to journalArticlepeer-review

23 Scopus citations


The coupling of gravity to dust helps one 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.

Original languageEnglish
Pages (from-to)5579-5582
Number of pages4
JournalPhysical Review D
Issue number10
StatePublished - 1995


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