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Published August 15, 1975 | Published
Journal Article Open

Gravitational energy-momentum on nonmaximal surfaces

Deser, S. ORCID icon

Abstract

Gravitational Cauchy data defined iteratively from an input set which is of pure linearized gauge form representing a nonflat hypersurface appear to possess tachyonic energy-momentum P^μ. We show that such systems do behave correctly: P^μ is positive timelike, and vanishing of the energy implies flat space. Although the P^μ begin at quartic order in the inputs, it is possible to exhibit explicitly the helicity-2 character of the gravitational excitations on which both the energy and the flatness conditions depend.

Additional Information

© 1975 American Physical Society. (Received 18 February 1975) It is a pleasure to acknowledge particularly valuable discussions with T. Regge, C. Teitelboim, and R. Wald, whose insistence that the apparent paradoxes be solved without leaving the usual framework was salutary. The troublesome and therefore interesting initial data which caused this investigation were first posed by N. Ó. Murchadha. Work supported in part by the National Science Foundation.

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Published - PhysRevD.12.943.pdf

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August 19, 2023
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October 18, 2023