László B Szabados 2008 Class. Quantum Grav. 25 095005 doi:10.1088/0264-9381/25/9/095005
László B Szabados
Show affiliationsThe Hamiltonian constraint of the coupled Einstein–Yang–Mills–Higgs system with a cosmological constant is shown to be a pure Poisson bracket of a dimensionless functional on the phase space and the volume of the three-space. One of its potential consequences, a restriction on the eigenstates of the volume operator in a class of canonical quantum gravity theories, is also pointed out.
04.60.Ds Canonical quantization
04.20.Fy Canonical formalism, Lagrangians, and variational principles
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
85A40 Cosmology (For relativistic cosmology, see 83F05)
70H45 Constrained dynamics, Dirac's theory of constraints (See also 70F20, 70F25, 70Gxx)
Issue 9 (7 May 2008)
Received 28 November 2007, in final form 11 February 2008
Published 15 April 2008
László B Szabados 2008 Class. Quantum Grav. 25 095005
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