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Exact anisotropic solutions of d = 11 supergravity

Published online by Cambridge University Press:  24 October 2008

D. Lorenz-Petzold
D. Lorenz-Petzold
Affiliation:
Fakultät für Physik, Universität Konstanz, D-7750 Konstanz, Fed. Rep., Germany
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Abstract

We present the first anisotropic cosmological solutions of d = 11 supergravity. The solutions given are of Bianchi types III, V and VIh coupled with the seven-dimensional torus. The cosmological implications are briefly discussed.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 98 , Issue 1 , July 1985 , pp. 187 - 190
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

REFERENCES

[1]Alvarez, E.. Cosmological solutions of N = 1 supergravity in 11 dimensions. Phys. Rev. D 30 (1984), 1394–1396.CrossRefGoogle Scholar
[2]Castellani, L., D'Aubia, R. and Fré, P.. Seven lectures on the group-manifold approach to supergravity and the spontaneous compactification of extra dimensions. In Super-symmetry and Supergravity 1983, ed. Milewski, B. (World Scientific, 1983), 2–92.Google Scholar
[3]Castellani, L., D'Aubia, R. and Fré, P.. SU(3)× SU(2)× U(1) from D = 11 supergravity. Nuclear Phys. B 239 (1984), 610–652.CrossRefGoogle Scholar
[4]Castellani, L., Romans, L. J. and Warner, N. P.. A classification of compactifying solutions for d = 11 supergravity. Nuclear Phys. B 241 (1984), 429–462.CrossRefGoogle Scholar
[5]Castellani, L. and Romans, L. J.. N = 3 and N = 1 supersymmetry in a new class of solutions for d = 11 supergravity. Nuclear Phys. B 238 (1984), 687–701.CrossRefGoogle Scholar
[6]Chapline, G. F. and Gibbons, G. W.. Unification of elementary particle physics and cosmology in ten dimensions. Phys. Lett. B 135 (1984), 43–46.CrossRefGoogle Scholar
[7]Cremmer, E., Julia, B. and Scherk, J.. Supergravity theory in 11 dimensions. Phys. Lett. B 76 (1978), 409–412.CrossRefGoogle Scholar
[8]Cremmer, E. and Julia, B.. The SO(8) supergravity. Nuclear Phys. B 159 (1979), 141–212.CrossRefGoogle Scholar
[9]Dirac, P. A. M.. A new basis for cosmology. Proc. Roy. Soc. London Ser. A 165 (1938), 199–208.Google Scholar
[10]Dolan, B.. A new solution of d = 11 supergravity with internal isometry group SU(3)× SU(2)× U(1). Phys. Lett. B 140 (1984), 304–306.CrossRefGoogle Scholar
[11]Duff, M. J. and van Nieuwenhuizen, P.. Quantum inequivalence of different field representations. Phys. Lett. B 94 (1980), 179–182.CrossRefGoogle Scholar
[12]Duff, M. J. and Pope, C. N.. Kaluza-Klein Supergravity and the seven-sphere. In Super-symmetry and Supergravity ‘82, ed. Ferrara, S., Taylor, J. C. and van Nieuwenhuizen, P. (World Scientific, 1983).Google Scholar
[13]Englert, F.. Spontaneous compactification of eleven-dimensional supergravity. Phys. Lett. B 119 (1982), 339–342.CrossRefGoogle Scholar
[14]Freund, P. G. O.. Kaluza-Klein cosmologies. Nuclear Phys. B 209 (1982), 146–156.CrossRefGoogle Scholar
[15]Freund, P. G. O. and Rubin, M. A.. Dynamics of dimensional reduction. Phys. Lett. B 97 (1980), 233–235.CrossRefGoogle Scholar
[16]Gleiser, M., Rajpoot, S. and Taylor, J. G.. Cosmologies in ten dimensions. Phys. Lett. B 138 (1984), 377–382.CrossRefGoogle Scholar
[17]Gleiser, M., Rajpoot, S. and Taylor, J. G.. Search for higher-dimensional cosmologies. Phys. Rev. D 30 (1984), 756–759.Google Scholar
[18]Kaluza, Th.. Zum Unitätsproblem der Physik. Sitz. Ber. preuss. Akad. Berlin, Phys. Math. Kl. 1921, 966–972.Google Scholar
[19]Klein, O.. Quantentheorie und fünfdimensionale Relativitätstheorie. Z. Phys. 37 (1926), 895–906.CrossRefGoogle Scholar
[20]Kramer, D., Stephanie, H., MacCallum, M. A. H. and Herlt, E.. Exact Solutions of Einstein's Field Equations (VEB, Deutscher Verlag der Wissenschaften, 1980).Google Scholar
[21]Moorhouse, R. G. and Nixon, J.. Cosmological equations in Kaluza-Klein d = 11 super-gravity theory. Phys. Lett. B 145 (1984), 39–44.CrossRefGoogle Scholar
[22]Myung, Y. S. and Kim, Y. D.. Cosmology in D-dimensional gravity coupled to a rank-three field FMNP. Phys. Lett. B 145 (1984), 45–48.CrossRefGoogle Scholar
[23]Wainwright, J.. A spatially homogeneous cosmological model with plane-wave singularity. Phys. Lett. A 99 (1983), 301–303.CrossRefGoogle Scholar
[24]Wainwright, J.. Power law singularities in orthogonal spatially homogeneous cosmologies. Gen. Relativity Gravitation 16 (1984), 657–667.CrossRefGoogle Scholar
[25]Wainwright, J. and Anderson, P. J.. Isotropic singularities and isotropization in a class Bianchi type-VIn cosmologies. Gen. Relativity Gravitation 16 (1984), 609–624.CrossRefGoogle Scholar
[26]Witten, E.. Search for a realistic Kaluza-Klein theory. Nuclear Phys. B 186 (1981), 412–428.CrossRefGoogle Scholar