Quantum effects on the singularity of the Gowdy cosmology

Mathematics

Scientific paper

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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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