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Vacuum polarization around stars: nonlocal approximation
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We compute the vacuum polarization associated with quantum massless fields around stars with spherical symmetry. The nonlocal contribution to the vacuum polarization is dominant in the weak field limit, and induces quantum corrections to the exterior metric that depend on the inner structure of the star. It also violates the null energy conditions. We argue that similar results also hold in the low energy limit of quantum gravity. Previous calculations of the vacuum polarization in spherically symmetric spacetimes, based on local approximations, are not adequate for newtonian stars.
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Cited by 2 Pith papers
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On Modelling the Surfaces of Celestial Bodies in Quantum Gravity
A modified Tolman VII density profile with sufficient differentiability produces regular quantum corrections to stellar exteriors when computed with the Vilkovisky-DeWitt effective action.
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Nonlocal effective action and particle creation in $D$ dimensions
The vacuum-persistence probability for a quantum field in a weak gravitational background is computed to second order in curvatures in D dimensions; conformal fields in conformally flat spacetimes do not create partic...
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