Is the gravitational action additive?

Details Is the gravitational action additive? Is the gravitational action additive?

1994-03-09

arxiv.org/abs/gr-qc/9403018v2

Phys.Rev. D50 (1994) 4914-4919

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.50.4914

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.

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