Zero-Energy Theorem for Scale-Invariant Gravity

David G. Boulware, Gary T. Horowitz, and Andrew Strominger
Phys. Rev. Lett. 50, 1726 – Published 30 May 1983
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Abstract

The general scale-invariant Lagrangian, 14d4x(g)12[αcμνλσcμνλσ+βR2], with αβ>~0, is considered. Although this theory admits linearized solutions with negative energy, it is shown that all exact solutions representing isolated systems have precisely zero energy. This result also holds in the presence of arbitrary matter. It can be understood as resulting from a confinement of energy. The implications of this result for quantum gravity are discussed.

  • Received 21 March 1983

DOI:https://doi.org/10.1103/PhysRevLett.50.1726

©1983 American Physical Society

Authors & Affiliations

David G. Boulware

  • Physics Department, University of Washington, Seattle, Washington 98195

Gary T. Horowitz and Andrew Strominger

  • The Institute for Advanced Study, Princeton, New Jersey 08540

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Issue

Vol. 50, Iss. 22 — 30 May 1983

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