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Phys. Rev. Lett. 78, 2050–2053 (1997)

Self-Consistent Wormhole Solutions of Semiclassical Gravity

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David Hochberg1, Arkadiy Popov2, and Sergey V. Sushkov2
1Laboratorio de Astrofísica Espacial y Física Fundamental, Apartado 50727, 28080 Madrid, Spain
2Department of Mathematics, Kazan State Pedagogical University, Mezhlauk st., 1, Kazan 420021, Russia

Received 4 November 1996; published in the issue dated 17 March 1997

We present the first results of a self-consistent solution of the semiclassical Einstein field equations corresponding to a Lorentzian wormhole coupled to a quantum scalar field. The specific solution presented here represents a wormhole connecting two asymptotically spatially flat regions. In general, the diameter of the wormhole throat, in units of the Planck length, can be arbitrarily large, depending on the values of the scalar coupling ξ and the boundary values for the shape and redshift functions. In all cases we have considered, there is a fine structure in the form of Planck-scale oscillations or ripples superimposed on the solutions.

© 1997 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.78.2050
DOI:
10.1103/PhysRevLett.78.2050
PACS:
04.25.Dm, 04.20.Gz, 04.60.-m