Is the gravitational action additive?

Dieter Brill; Geoff Hayward

Is the gravitational action additive?

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arxiv gr-qc/9403018 v2 pith:ZP4GS7UP submitted 1994-03-09 gr-qc

Dieter Brill , Geoff Hayward This is my paper · ORCID

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keywords actionadditivegravitationalspacetimeadditivityalwaysarbitraryboundary

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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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Lorentzian angles and trigonometry including lightlike vectors
gr-qc 2019-08 conditional novelty 7.0 of 10

The paper constructs additive Lorentzian angles for null vectors and proves a simplicial Lorentzian Gauss-Bonnet theorem.

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