On Projective Gravity and the vanishing of the Cosmological Constant

dc.creatorGasparakis, C.
dc.date1993-12-29
dc.date1993-12-29
dc.date.accessioned2026-07-07T09:01:26Z
dc.date.available2026-07-07T09:01:26Z
dc.descriptionWe generalize Einstein's Lagrangian in a non-polynomial (in R) way. The usual Lagrangian (linear in R) is the zero $α'$ limit of our theory, where $α'$ is a parameter that is interpreted as the inverse cosmological costant before the Planck time. The theory space of this lagrangian admits a ${\bf Z_{2}}$ modular group, namely $R \leftrightarrow 1/R$. Independence of the modular invariant expectation values from the number of `Big Bangs' enforces a quantization condition for the cosmological constant. At the semiclassical approximation we obtain $Λ=0$, and a vacuum equation which is equivalent to inflation cosmology. D=4 and D=1 universes are obtained as unique (and topologically separated by the D=2 semiclassical barrier) integer dimension solutions. They correspond to the first excited level and the ground state respectively of our projective gravity.
dc.description17 pages, 3 figures (not included), ITP-SB-93-81
dc.identifierhttps://arxiv.org/abs/hep-th/9312203
dc.identifierhttp://arxiv.org/abs/hep-th/9312203
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/148321
dc.subjectHigh Energy Physics - Theory
dc.titleOn Projective Gravity and the vanishing of the Cosmological Constant
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