3,485 research outputs found
Quantum cosmological Friedman models with a massive Yang-Mills field
We prove the existence of a spectral resolution of the Wheeler-DeWitt
equation when the matter field is provided by a massive Yang-Mills field. The
resolution is achieved by first solving the free eigenvalue problem for the
gravitational field and then the constrained eigenvalue problem for the
Yang-Mills field. In the latter case the mass of the Yang-Mills field assumes
the role of the eigenvalue.Comment: 16 pages, v3: typos corrected, final version, to appear in CQ
Intrinsic time gravity and the Lichnerowicz-York equation
We investigate the effect on the Hamiltonian structure of general relativity
of choosing an intrinsic time to fix the time slicing. 3-covariance with
momentum constraint is maintained, but the Hamiltonian constraint is replaced
by a dynamical equation for the trace of the momentum. This reveals a very
simple structure with a local reduced Hamiltonian. The theory is easily
generalised; in particular, the square of the Cotton-York tensor density can be
added as an extra part of the potential while at the same time maintaining the
classic 2 + 2 degrees of freedom. Initial data construction is simple in the
extended theory; we get a generalised Lichnerowicz-York equation with nice
existence and uniqueness properties. Adding standard matter fields is quite
straightforward.Comment: 4 page
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