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Exclusion of Static Solutions in Gravity-Matter Coupling

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Field Theory, Quantization and Statistical Physics

Part of the book series: Mathematical Physics and Applied Mathematics ((MPAM,volume 6))

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Abstract

Coupled Einstein-matter systems of various spins are shown to possess no static non-singular solutions. In particular, this is demonstrated for spin 1/2 with or without torsion by iterating the Dirac operator, and partial results are given for supergravity.

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References

  1. Lichnerowicz, A., Theories Relativistes de la Gravitation, Masson, Paris, 1955.

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  2. Thiry, Y., J. Math. Pure Appl. 30, 275 (1951).

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  3. Deser, S., Phys. Lett . 64B, 463 ( 1976 ). Coleman, S., 1975 Erice Lectures.

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  6. Freedman, D. Z., van Nieuwenhuizen, P., and Ferrara, S., Phys. Rev. D13, 3214 (1976).

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  7. Deser, S., Zumino, B., Phys. Lett. 62B, 335 (1976).

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  8. The second-order Rarita-Schwinger equation has also been derived by S. Christensen and M. Duff and by S. Hawking and C. Pope (to be published).

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Authors

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E. Tirapegui

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© 1981 D. Reidel Publishing Company

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Deser, S. (1981). Exclusion of Static Solutions in Gravity-Matter Coupling. In: Tirapegui, E. (eds) Field Theory, Quantization and Statistical Physics. Mathematical Physics and Applied Mathematics, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8368-7_4

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  • DOI: https://doi.org/10.1007/978-94-009-8368-7_4

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-8370-0

  • Online ISBN: 978-94-009-8368-7

  • eBook Packages: Springer Book Archive

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