Nonexistence theorems for asymptotically Euclidean Einstein-matter solutions

Details Nonexistence theorems for asymptotically Euclidean Einstein-matter solutions Nonexistence theorems for asymptotically Euclidean Einstein-matter solutions

Oct 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..40.2615j&link_type=abstract

Physical Review D (Particles and Fields), Volume 40, Issue 8, 15 October 1989, pp.2615-2619

Physics

5

Scientific paper

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 φ dV/dφ>0] the matter-field equations alone suffice to rule out the possibility of solutions.

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