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Phys. Rev. D 50, 4914–4919 (1994)

Is the gravitational action additive?

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Dieter Brill
Department of Physics, University of Maryland, College Park, Maryland 20742

Geoff Hayward
Institute of Theoretical Physics, 412 Avadh Bhatia Physics Laboratory, University of Alberta, Edmonton, Alberta, Canada T6G 2J1

Received 8 March 1994; published in the issue dated 15 October 1994

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.

© 1994 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.50.4914
DOI:
10.1103/PhysRevD.50.4914
PACS:
04.20.Cv, 04.60.-m