Abstract
A 2+1 version of a rotating perfect fluid spacetime of Gödel type is examined to see whether it has a Finkelstein-Misner kink. It is shown, by three different methods, that the kink number is one.
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REFERENCES
Finkelstein, D., and Misner, C. W. (1959). Ann. Phys. (NY ) 6, 230.
Gibbons, G. W., and Hawking, S. W. (1992). Phys. Rev. Lett. 69, 1719.
Finkelstein, D., and McCollum, G. (1975). J. Math. Phys. 16, 2250.
Finkelstein, D. (1993). In Directions in General Relativity, Proceedings of the 1993 International Symposium in Maryland, Volume 1: Papers in honor of C. W. Misner, B. L. Hu, M. P. Ryan Jr., and C. V. Vishveshwara, eds. (Cambridge University Press, Cambridge), pp. 99–103.
Dunn, K. A., Harriott, T. A., and Williams, J. G. (1996). J. Math. Phys. 37, 5637.
González-Díaz, P. F. (1997). Int. J. Mod. Phys. D 6, 57.
Kramer, D., Stephani, H., Herlt, E., and MacCallum, M. (1980). Exact Solutions of Einstein' Field Equations (Cambridge University Press, Cambridge).
Gödel, K. (1949). Rev. Mod. Phys. 21, 447, reprinted in (2000). Gen. Rel. Grav. 32, 1409.
Gödel, K. (1952). In Proceedings of the International Congress of Mathematicians, Volume 1, (Harvard University, Cambridge, Massachusetts, 30 August-6 September 1950), L. M. Graves, E. Hille, P. A. Smith and O. Zariski, eds. (American Mathematical Society, Providence, RI), pp. 175-181; Reprinted (2000) in Gen. Rel. Grav. 32, 1419.
Ellis, G. F. R. (2000). Gen. Rel. Grav. 32, 1399.
Novello, M., and Rebouças, M. J. (1979). Phys. Rev. D 19, 2850.
Rebouças, M. J., and Tiomno, J. (1983). Phys. Rev. D 28, 1251.
Calvão, M. O., Soares, I. D., and Tiomno, J. (1990). Gen. Rel. Grav. 22, 683.
Lubo, M., Rooman, M., and Spindel, Ph. (1999). Phys. Rev. D 59, 044012.
Choquet-Bruhat, Y., De Witt-Morette, C., and Dillard-Bleick, M. (1977). Analysis, Manifolds and Physics (North-Holland, Amsterdam).
Felsager, B. (1981). Geometry, Particles and Fields (Odense University Press, Odense, Denmark).
Skyrme, T. H. R. (1961). Proc. Roy. Soc. London A 260, 127.
Lake, K. (1987). In Fifth Brazilian School of Cosmology and Gravitation (Centro Brasileiro de Pesquisas Fisicas, Rio de Janeiro, 20-31 July 1987), M. Novello, ed. (World Scientific, Singapore).
Alty, L. J. (1995). J. Math. Phys. 36, 3094.
Williams, J. G., and Zvengrowski, P. (1997). In Proceedings of the 6th Canadian Conference on General Relativity and Relativistic Astrophysics, University of New Brunswick: Fields Institute Communications, Volume 15, S. P. Braham, J. D. Gegenberg and R. J. McKellar, eds. (American Mathematical Society, Providence, RI).
Belavin, A. A., and Polyakov, A. M. (1975). Sov. Phys. JETP Lett. 22, 245.
Patani, A., Schlindwein, M., and Shafi, Q. (1976). J. Phys. A 9, 1513.
Birkhoff, G., and MacLane, S. (1965). A Survey of Modern Algebra (Macmillan, New York).
Steenrod, N. (1951). The Topology of Fibre Bundles (Princeton University Press, Princeton, NJ).
Williams, J. G., and Zvengrowski, P. (1992). J. Math. Phys. 33, 256.
Williams, J. G. (1998). WITP /BU Preprint, to appear in Proceedings of the 7th Canadian Conference on General Relativity and Relativistic Astrophysics, University of Calgary, D. Hobill, ed. (University of Calgary Press, Calgary, Canada).
Chamblin, A., and Penrose, R. (1992). Twistor Newsletter 34, 13.
Carneiro, S. (2000). Phys. Rev. D 61, 083506.
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Harriott, T.A., Williams, J.G. Gödel Kink Spacetime. General Relativity and Gravitation 33, 1753–1765 (2001). https://doi.org/10.1023/A:1013075117403
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DOI: https://doi.org/10.1023/A:1013075117403