Mathematics
Scientific paper
Nov 1987
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cqgra...4.1587h&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 4, Nov. 1, 1987, p. 1587-1591.
Mathematics
21
Astronomical Models, Cosmology, Quantum Mechanics, Singularity (Mathematics), Space-Time Functions, Canonical Forms, Curvature, Eigenvectors, Einstein Equations, Hamiltonian Functions
Scientific paper
Quantum effects on the initial singularity of the Gowdy T(-cubed) x R cosmology are studied. This is done by calculating the expectation values of the curvature invariant operator in suitable quantum states. It is found that eigenstates of 'particle' number do not introduce inhomogeneities into the model whereas linear combinations of these states such as the coherent states do. It is also found that the classical singularity persists.
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