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The Nature of Λ and the Mass of the Graviton: a Critical View
Gazeau J.-P., Novello M.
International Journal of Modern Physics A 26 (2011) 3697-3720 - http://hal.archives-ouvertes.fr/hal-00105287
Physique/Relativité Générale et Cosmologie Quantique
The Nature of Λ and the Mass of the Graviton: a Critical View
J.-P. Gazeau ()1, M. Novello ()2
1 :  APC - UMR 7164 - AstroParticule et Cosmologie
http://www.apc.univ-paris7.fr/
CNRS : UMR7164 – IN2P3 – Observatoire de Paris – Université Paris VII - Paris Diderot – CEA : DSM/IRFU
APC - UMR 7164, Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, case postale 7020, F-75205 Paris Cedex 13
France
2 :  CBPF - Centro Brasileiro de Pesquisas Físicas
http://www.cbpf.br
Ministério da Ciência e Tecnologia
Rua Dr. Xavier Sigaud, 150, Urca, 22290-180 Rio de Janeiro RJ
Brésil
APC - THEORIE
The existence of a non-zero cosmological constant $\Lambda$ gives rise to controversial interpretations. Is $\Lambda$ a universal constant fixing the geometry of an empty universe, as fundamental as the Planck constant or the speed of light in the vacuum? Its natural place is then on the left-hand side of the Einstein equation. Is it instead something emerging from a perturbative calculus performed on the metric $g_{\mu\nu}$ solution of the Einstein equation and to which it might be given a material status of (dark or bright) "energy"? It should then be part of the content of the right-hand side of the Einstein equations. The purpose of this paper is not to elucidate the fundamental nature of $\Lambda$, but instead we aim to present and discuss some of the arguments in favor of both interpretations of the cosmological constant. We conclude that if the fundamental of the geometry of space-time is minkowskian, then the square of the mass of the graviton is proportional to $\Lambda$; otherwise, if the fundamental state is deSitter/AdS, then the graviton is massless in the deSitterian sense.
Anglais

International Journal of Modern Physics A (Int. J. Mod. Phys. A)
Publisher World Scientific Publishing
ISSN 0217-751X (eISSN : 0217-751X)
internationale
Articles dans des revues avec comité de lecture
09/2011
26
3697-3720

Cosmological constant – graviton mass – de Sitter – Anti de Sitter – Garidi mass
PACS: 98.80.Bp, 98.80.Cq
39 pages

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TEX
Lambdasc
AdS1.eps(324.3 KB)
AdScontraction.eps(84.9 KB)
dS3.eps(374 KB)
dScontraction.eps(68.2 KB)
Lambsc.tex(83.2 KB)
Newtads.eps(489.3 KB)
Newton1.eps(444.5 KB)
PS
Lambsc.ps(2 MB)
PDF
Lambsc.pdf(887.3 KB)