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arXiv · 1105.3814

Gravitation on a Homogeneous Domain

Arkadiusz Jadczyk
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Abstract

Among all plastic deformations of the gravitational Lorentz vacuum \cite{wr1} 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)x U(2)) and its Shilov boundary - the compactified Minkowski space \tilde{M} [1]. In this paper we review the geometrical structure involved in such a description. In particular we demonstrate that coherent states on the homogeneous Kae}hler domain give rise to Einstein-like plastic conformal deformations when extended to \tilde{M} [2].

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Arkadiusz Jadczyk. 2011-05-27. Gravitation on a Homogeneous Domain. https://doi.org/10.1007/s00006-012-0334-8

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