Abstract
We investigate the Oppenheimer-Snyder space-time with a positive cosmological constant A. The interior of the dust sphere is described by the closed Friedmann-Robertson-Walker space-time while the exterior is the Schwarzschild-de Sitter space-time. Due to the cosmological constant A, when the gravitational massM o of the dust sphere is very large, there is no collapsing solution with the de Sitter-like asymptotic region which expands exponentially in the expanding universe frame. This fact suggests that the very large initial inhomogeneity does not necessarily lead to the failure of the cosmic no hair conjecture.
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References
Guth, A. H. (1981).Phys. Rev. D 23, 347; Sato, K. (1981).Mon. Not. R. Astr. Soc. 195, 467; Albrecht, A., and Steinhardt, P. J. (1982).Phys. Rev. Lett. 48, 1220; Linde, A. D. (1982).Phys. Lett. 108B, 389.
Gibbons, G. W., and Hawking, S. W. (1977).Phys. Rev. D 15, 2738; Hawking, S. W. and Moss, I. G. (1982). Phys. Lett.110B, 35; Maeda, K. (1990). InProceedings of the V Marcel Grossman Meeting, Perth, D. G. Blair, M. J. Buckingham, R. Ruffini, eds. (World Scientific, Singapore).
Carter, B. (1970).Commun. Math. Phys. 17, 1067;id., (1973). InBlack Holes C. DeWitt, B. S. DeWitt, eds. (Gordon and Breach, New York).
Sato, K., Sasaki, M., Kodama, H., and Maeda, K. (1981).Prog. Theor. Phys. 65 1443; Maeda, K., Sato, K., Sasaki, M., and Kodama, H. (1982).Phys. Lett. 108B, 98; Sato, K. (1987). InThe Large Scale Structure of the Universe (Proc. I. A. U. Symposium No. 130) (unpublished).
Kurki-Suonio, H., Centrella, J., Matzner, R. A., and Wilson, J. R. (1987).Phys. Rev. D 35, 435.
Holcomb, K. A., Park, S. J., and Vishniac, E. T. (1989).Phys. Rev. D 39, 1058.
Goldwirth, D. S., and Piran, T. (1989).Phys. Rev. D 40, 3269;id. (1990).Phys. Rev. Lett. 64, 2852.
Garfinkle, D., and Vuille, C. (1991).Gen. Rel. Grav. 23, 471.
Smarr, L., and York, J. W. (1978).Phys. Rev. D 17, 2529; Eardley, D. M., and Smarr, L. (1979).Phys. Rev. D 19, 2239.
Nakao, K., Maeda, K., Nakamura, T., and K. Oohara, K. (1991).Phys. Rev. D 44, 1326.
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Nakao, Ki. The Oppenheimer-Snyder space-time with a cosmological constant. Gen Relat Gravit 24, 1069–1081 (1992). https://doi.org/10.1007/BF00756947
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DOI: https://doi.org/10.1007/BF00756947