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The question of mass in (anti-) de Sitter spacetimes

J.-P. Gazeau 1 M. Novello
APC (UMR_7164) - AstroParticule et Cosmologie, Institut für theoretische Physik
Abstract : The possible existence of a non-zero cosmological constant Λ gives rise to controversial interpretations. By Λ we here understand some sort of bare cosmological constant, and not the observed one that should contain modifications coming from the classical or the quantum fluctuations of matter fields. Is Λ a universal constant fixing the geometry of an empty universe, as fundamental as the Planck constant or the speed of light in the vacuum? Is it instead something emerging from a perturbative calculus performed on the metric solution of the Einstein equation and to which it might be given a material status of (dark or bright) 'energy'? Since a physical quantity like mass originates in a Minkowskian conservation law, we proceed to a group theoretical interpretation of this relation in terms of the two possible Λ-deformations of the Poincaré group, namely the de Sitter and anti de Sitter groups. We use the so-called Garidi mass in order to make clear the asymptotic relations between Minkowskian masses m and their possible dS/AdS counterparts.
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Submitted on : Tuesday, September 2, 2008 - 3:19:39 PM
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J.-P. Gazeau, M. Novello. The question of mass in (anti-) de Sitter spacetimes. Journal of Physics A: Mathematical and Theoretical, IOP Publishing, 2008, 41, pp.304008. ⟨10.1088/1751-8113/41/30/304008⟩. ⟨in2p3-00316061⟩



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