Nonexistence theorems for asymptotically Euclidean Einstein-matter solutions

Gerard Jungman and Robert M. Wald
Phys. Rev. D 40, 2615 – Published 15 October 1989
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Abstract

Some nonexistence results are established for "Euclidean wormholes," i.e., solutions of the Euclidean version of the Einstein-matter-field equations describing four-dimensional geometries with asymptotically Euclidean regions and matter fields satisfying appropriate falloff conditions in these regions. Our main result shows that no such solutions exist if the matter fields are conformally invariant. We also point out that in many nonconformally invariant cases [such as a scalar field with potential V(φ) satisfying φdVdφ>0] the matter-field equations alone suffice to rule out the possibility of solutions.

  • Received 24 April 1989

DOI:https://doi.org/10.1103/PhysRevD.40.2615

©1989 American Physical Society

Authors & Affiliations

Gerard Jungman and Robert M. Wald

  • Enrico Fermi Institute and Department of Physics, University of Chicago, Chicago, Illinois 60637

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Issue

Vol. 40, Iss. 8 — 15 October 1989

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