# Gravitational shock waves and vacuum fluctuations

@article{Hortasu1998GravitationalSW, title={Gravitational shock waves and vacuum fluctuations}, author={M. Hortaçsu and K. Ulker}, journal={Classical and Quantum Gravity}, year={1998}, volume={15}, pages={1415-1420} }

We show that the vacuum expectation value of the stress-energy tensor of a scalar particle on the background of a spherical gravitational shock wave does not give a finite expression in second-order perturbation theory, in contrast to the case seen for the impulsive wave. No infrared divergences appear at this order. This result shows that there is a qualitative difference between the shock and impulsive wave solutions which is not exhibited in first order.

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