paper

Is the gravitational action additive?

arXiv:gr-qc/9403018 · doi:10.1103/PhysRevD.50.4914

Abstract

The gravitational action is not always additive in the usual sense. We provide a general prescription for the change in action that results when different portions of the boundary of a spacetime are topologically identified. We discuss possible implications for the superposition law of quantum gravity. We present a definition of `generalized additivity' which does hold for arbitrary spacetime composition.

20 pages LaTeX file, report numbers UMD-PP 94-100 and Alberta Thy 10-94

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