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A micro-deSitter spacetime with constant torsion: A new vacuum solution of the Poincaré gauge field theory

  • Geometrical Aspect of Gauge Theory and Gravitation
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Gauge Theory and Gravitation

Part of the book series: Lecture Notes in Physics ((LNP,volume 176))

Abstract

We study the Poincaré gauge field theory with Lagrangians of the type (curvature scalar + torsion2)/12 + curvature2/æ. Here 1 is the Planck length and æ the coupling constant of the hypothetical Lorentz gauge bosons. We find a new vacuum solution with a deSitter metric and with constant microscopic torsion ∼ √æ / ℓ and curvature ∼ ræ / ℓ2. Its curvature displays double duality properties.

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Authors and Affiliations

  1. Institute for Theoretical Physics, University of Cologne, D-5000, Cologne 41, West Germany

    Peter Baekler & Friedrich W. Hehl

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  1. Peter Baekler
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  2. Friedrich W. Hehl
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Keiji Kikkawa Noboru Nakanishi Hidekazu Nariai

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© 1983 Springer-Verlag

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Baekler, P., Hehl, F.W. (1983). A micro-deSitter spacetime with constant torsion: A new vacuum solution of the Poincaré gauge field theory. In: Kikkawa, K., Nakanishi, N., Nariai, H. (eds) Gauge Theory and Gravitation. Lecture Notes in Physics, vol 176. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11994-9_1

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  • DOI: https://doi.org/10.1007/3-540-11994-9_1

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  • Print ISBN: 978-3-540-11994-4

  • Online ISBN: 978-3-540-39470-9

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