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We present an explicit averaging formula in lowest order. Besides anarbitrary smearing function it contains two integrals of this function. This isnecessary in order to achieve covariance. There is no need to solve anyequations. In three dimensions the same averaging formula yields a covariantaveraging of the Einstein tensor and thus of the field equations. We alsopresent a simple extension to static perturbations in four dimensions. Variousfurther extensions of the formalism appear possible.

Lowest order covariant averaging of a perturbed metric and of the Einstein tensor