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Gravitation on a Homogeneous Domain

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Abstract

Among all plastic deformations of the gravitational Lorentz vacuum [1] a particular role is being played by conformal deformations. These are conveniently described by using the homogeneous space for the conformal group SU(2, 2)/S(U(2) × U(2)) and its Shilov boundary - the compactified Minkowski space M͂ [2]. In this paper we review the geometrical structure involved in such a description. In particular we demonstrate that coherent states on the homogeneous Kähler domain give rise to Einstein-like plastic conformal deformations when extended to M͂.

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Authors and Affiliations

  1. Center CAIROS, Institut de Mathématiques de Toulouse, Université Paul Sabatier, 118 Routé de Narbonne, 31062, Toulouse Cedex 9, France

    Arkadiusz Jadczyk

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  1. Arkadiusz Jadczyk
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Correspondence to Arkadiusz Jadczyk.

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Jadczyk, A. Gravitation on a Homogeneous Domain. Adv. Appl. Clifford Algebras 22, 1069–1080 (2012). https://doi.org/10.1007/s00006-012-0334-8

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  • DOI: https://doi.org/10.1007/s00006-012-0334-8

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