期刊
PHYSICAL REVIEW D
卷 91, 期 12, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.91.124031
关键词
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资金
- Royal Commission for the Exhibition of 1851
I prove that general relativity admits no asymptotically well-behaved static spherically symmetric traversable wormholes supported by classical scalar fields and nonexotic matter. The theorem holds for all values of the scalar field curvature coupling parameter xi, even though fields with xi > 0 are capable of violating the average null energy condition. Good asymptotic behavior (the effective Newton's constant being positive and finite at both ends of the wormhole) can only be achieved by introducing additional exotic matter, which must itself violate the null energy condition over some region of nonzero volume. These results are insensitive to the number of scalar fields, the form of their potentials, and the coupling between the fields and the additional matter.
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