Nonexistence Theorems for Asymptotically Euclidean Einstein Matter Solutions
Apr, 198911 pages
Published in:
- Phys.Rev.D 40 (1989) 2615
Report number:
- EFI-89-21
Citations per year
Abstract: (APS)
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.- Einstein equation: solution
- coupling: matter
- field theory: Euclidean
- field theory: scalar
- invariance: conformal
- wormhole
- instanton
- EFFECT: WORMHOLE
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