Quantum effects on the singularity of the Gowdy cosmology

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Abstract
Quantum effects on the initial singularity of the Gowdy T3*R cosmology are studied. This is done by calculating the expectation values of the curvature invariant operator Rmu nu alpha beta Rmu nu alpha beta 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.