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Phys. Rev. D 48, 5684–5687 (1993)

New topology for spatial infinity?

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Peter G. Bergmann
Department of Physics, Syracuse University, Syracuse, New York 13244-1130 and Department of Physics, New York University, New York, New York 10003

Gerrit J. Smith
Department of Philosophy, Fordham University, Bronx, New York 10458

Received 15 July 1993; published in the issue dated 15 December 1993

For spatial infinity we introduce the topology of a projective Lorentz sphere. This topology is indicated by the reduced variety of physically admissible solutions of both the electromagnetic and the gravitational field equations. In this topology past and future are fused, so that the notions of cause and effect lose their intuitive meanings.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.48.5684
DOI:
10.1103/PhysRevD.48.5684
PACS:
04.20.Cv, 04.60.+n