Self-consistent wormhole solutions of semiclassical gravity. (English) Zbl 0949.83506
Summary: 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 \(\zeta\) 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.
MSC:
| 83C47 | Methods of quantum field theory in general relativity and gravitational theory |
| 81T20 | Quantum field theory on curved space or space-time backgrounds |
| 83C30 | Asymptotic procedures (radiation, news functions, \(\mathcal{H} \)-spaces, etc.) in general relativity and gravitational theory |
Keywords:
semiclassical Einstein field equations; Lorentzian wormhole; asymptotically spatially flat regionsReferences:
| [1] | L. Flamm, Phys. Z. 17 pp 48– (1916) |
| [2] | A. Einstein, Phys. Rev. 48 pp 73– (1935) · Zbl 0012.13401 · doi:10.1103/PhysRev.48.73 |
| [3] | J. A. Wheeler, Phys. Rev. 97 pp 511– (1955) · Zbl 0064.22404 · doi:10.1103/PhysRev.97.511 |
| [4] | M. S. Morris, Am. J. Phys. 56 pp 395– (1988) · Zbl 0957.83529 · doi:10.1119/1.15620 |
| [5] | M. S. Thorne, Phys. Rev. Lett. 61 pp 1446– (1988) · doi:10.1103/PhysRevLett.61.1446 |
| [6] | M. Visser, Phys. Rev. D 39 pp 3182– (1989) · doi:10.1103/PhysRevD.39.3182 |
| [7] | , Nucl. Phys. B328 pp 203– (1989) |
| [8] | M. Visser, Phys. Lett. B 242 pp 24– (1990) · doi:10.1016/0370-2693(90)91588-3 |
| [9] | , Phys. Rev. D 43 pp 402– (1991) |
| [10] | M. Visser, Phys. Rev. D 41 pp 1116– (1990) · Zbl 0983.83503 · doi:10.1103/PhysRevD.41.1116 |
| [11] | V. P. Frolov, Phys. Rev. D 42 pp 1057– (1990) · doi:10.1103/PhysRevD.42.1057 |
| [12] | D. Hochberg, Phys. Lett. B 251 pp 349– (1990) · doi:10.1016/0370-2693(90)90718-L |
| [13] | D. Hochberg, Phys. Lett. B 268 pp 377– (1991) · doi:10.1016/0370-2693(91)91593-K |
| [14] | D. Hochberg, Phys. Rev. Lett. 70 pp 2665– (1993) · Zbl 1051.83535 · doi:10.1103/PhysRevLett.70.2665 |
| [15] | D. Hochberg, Phys. Rev. D 52 pp 6846– (1995) · doi:10.1103/PhysRevD.52.6846 |
| [16] | Liao Liu, Phys. Rev. D 52 pp 4752– (1995) · doi:10.1103/PhysRevD.52.4752 |
| [17] | J. G. Cramer, Phys. Rev. D 51 pp 3117– (1995) · doi:10.1103/PhysRevD.51.3117 |
| [18] | M. Visser, in: Lorentzian Wormholes: from Einstein to Hawking (1995) |
| [19] | L. H. Ford, Phys. Rev. D 53 pp 5496– (1996) · doi:10.1103/PhysRevD.53.5496 |
| [20] | S. V. Sushkov, in: Quantum Field Theory Under the Influence of External Conditions, (1996) |
| [21] | P. R. Anderson, Phys. Rev. D 51 pp 4337– (1995) · Zbl 0966.81541 · doi:10.1103/PhysRevD.51.4337 |
| [22] | C. W. Misner, in: Gravitation (1973) |
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