Abstract
Time-dependent wormhole solutions are found which evolve in a cosmological background. Solutions are presented both for GR and Brans-Dicke field equations. Conditions are derived for the supporting matter to be non-exotic. The traceless energy-momentum tensor needed to support the geometry is in the form of an anisotropic fluid. Far from the wormhole, the equation of state rapidly approaches that of an isotropic perfect fluid with p = 1/3 ρ. For the BD wormholes we obtain ρ = 0everywhere, except for the π = const. limit, in which case the GR results are reproduced.
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Riazi, N., Nasre Esfahani, B. Time-dependent wormholes in an expanding universedominated by traceless matter. Astrophysics and Space Science 271, 237–243 (2000). https://doi.org/10.1023/A:1002434423671
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DOI: https://doi.org/10.1023/A:1002434423671