The behavior of the gravitational field near the initial singularity

Details The behavior of the gravitational field near the initial singularity The behavior of the gravitational field near the initial singularity

Mar 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986gregr..18..287f&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 18, March 1986, p. 287-308. FINEP-CNPq-supported research.

Mathematics

4

Cosmology, Field Theory (Physics), Gravitational Fields, Quantum Theory, Singularity (Mathematics), Canonical Forms, Coherence, Einstein Equations, Hamiltonian Functions

Scientific paper

The ultralocal representation of the canonically quantized gravitational field is used to obtain the evolution of coherent states in the immediate neighborhood of the singularity. It is shown that smearing functions play the role of classical fields since they correspond to cosmological solutions around the singularity. A special class of ultralocal coherent states is shown to contain the essential aspects of the dynamics of the system when a simple representation is chosen for the field operators of the theory. When the ultralocality condition is broken a conjecture is made about the quantum evolution of coherent states in the classical limit.

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