ar X iv : g r - qc / 9 50 10 05 v 1 9 J an 1 99 5 Gravitational Constraints which Generate a

نویسنده

  • Joseph D. Romano
چکیده

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. PACS number(s): 0460, 0420 1. Commuting variables based on dust By coupling geometry to dust, Brown and Kuchař[1] found simple quadratic combinations G(x) := (H(x)) − g(x)H a (x)H b (x) (1) of the gravitational super-Hamiltonian H(x) and supermomentum H a (x) which have strongly vanishing Poisson brackets among themselves: {G(x), G(x)} = 0 . (2) This allowed them to replace the constraint system H(x) = 0 = H a (x) (3)

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تاریخ انتشار 1995