1. The solutions to the vacuum field equations are called vacuum solutions. 2. Solutions of the vacuum field equations are called vacuum solutions. 3. In terms of these quantities the Einstein vacuum field equations can be put in the form 4. Regge showed that the vacuum field equations can be reformulated as a restriction on these deficit angles. 5. The term zero-point field ( ZPF ) is sometimes used when referring to a specific vacuum field . 6. However, this elimination does not mean that the vacuum field has been rendered unimportant or without physical consequences. 7. The vacuum field equations ( obtained when " T " is identically zero ) define Einstein manifolds. 8. The " vacuum field equations " are the field equations written without matter ( including sources ). 9. This phenomena can be understood, partly, in terms of the action of the vacuum field on the atom. 10. The EM fields distort the vacuum field perturbations surrounding the craft sufficiently to affect the permeability and permittivity of space.