Is the gravitational action additive?

Dieter Brill and Geoff Hayward
Phys. Rev. D 50, 4914 – Published 15 October 1994
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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.

  • Received 8 March 1994

DOI:https://doi.org/10.1103/PhysRevD.50.4914

©1994 American Physical Society

Authors & Affiliations

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

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Vol. 50, Iss. 8 — 15 October 1994

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