Abstract
A mechanism is presented for obtaining exact solutions of the Einstein equations for hypersurface-homogeneous scalar fields which unifies and generalizes recent results for inflaton fields in the spatially homogeneous case and for thick domain walls in the timelike-homogeneous case.
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References
Ellis, G. F. R., and Madsen, M. S. (1991).Class. Quant. Grav. 8, 667.
Synge, J. L. (1955).Relativity: the General Theory (North-Holland, Amsterdam).
Goetz, G. (1990).J. Math. Phys. 31, 2683.
Goetz, G., and Noetzold, D. (1989). “An Exact Solution for a Thick Domain Wall in General Relativity”, Fermilab-Pub-89/235-A.
Noetzold, D. (1990). “Scalar Field Configurations with Planar and Cylindrical Symmetry: Thick Domain Walls and Strings”, Fermilab-Pub-90/35-A.
Kramer, D., Stephani, H., MacCallum, M. A. H., and Herlt, E. (1980).Exact Solutions of Einstein's Field Equations (Cambridge University Press, Cambridge).
Uggla, C., Jantzen, R. T., and Rosquist, K. (1992). “Exact Hypersurface-Homogeneous Solutions in Cosmology and Astrophysics”, Preprint.
Misner, C. W. (1969).Phys. Rev. 186, 1319.
Taub, A. H. (1951).Ann. Math. 53, 472.
Misner, C. W., Thorne, K. S., and Wheeler, J. A. (1973).Gravitation (W. H. Freeman, San Francisco).
Jantzen, R. T., and Uggla, C. (1992).Gen. Rel. Grav. 24, 59.
Jantzen, R. T., and Rosquist, K. (1988).Phys. Rev. D 37, 3472.
Uggla, C., and Rosquist, K. (1991).Class. Quant. Grav. 7, L279.
Jantzen, R. T. (1980).Ann. Phys. (NY) 127, 302.
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Jantzen, R.T., Uggla, C. & Rosquist, K. Exact hypersurface-homogeneous scalar field models. Gen Relat Gravit 25, 409–421 (1993). https://doi.org/10.1007/BF00757121
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DOI: https://doi.org/10.1007/BF00757121