172 research outputs found

    Conformal Couplings in Induced Gravity

    Get PDF
    It is found that the induced gravity with conformal couplings requires the conformal invariance in both classical and quantum levels for consistency. This is also true for the induced gravity with an extended conformal coupling interacting with torsion.Comment: 10 pages, Revtex3.0, to appear in General Relativity and Gravitatio

    Open Inflationary Universes in the Induced Gravity Theory

    Full text link
    The induced gravity theory is a variant of Jordan--Brans--Dicke theory where the `dilaton' field possesses a potential. It has the unusual feature that in the presence of a false vacuum there is a {\em stable} static solution with the dilaton field displaced from the minimum of its potential, giving perfect de Sitter expansion. We demonstrate how this solution can be used to implement the open inflationary universe scenario. The necessary second phase of inflation after false vacuum decay by bubble nucleation is driven by the dilaton rolling from the static point to the minimum of its potential. Because the static solution is stable whilst the false vacuum persists, the required evolution occurs for a wide range of initial conditions. As the exterior of the bubble is perfect de Sitter space, there is no problem with fields rolling outside the bubble, as in one of the related models considered by Linde and Mezhlumian, and the expansion rates before and after tunnelling may be similar which prevents problematic high-amplitude super-curvature modes from being generated. Once normalized to the microwave background anisotropies seen by the COBE satellite, the viable models form a one-parameter family for each possible Ω0\Omega_0.Comment: 7 pages RevTeX file with three figures incorporated (uses RevTeX and epsf). Also available by e-mailing ARL, or by WWW at http://star-www.maps.susx.ac.uk/papers/early_papers.htm

    Galactic periodicity and the oscillating G model

    Get PDF
    We consider the model involving the oscillation of the effective gravitational constant that has been put forward in an attempt to reconcile the observed periodicity in the galaxy number distribution with the standard cosmological models. This model involves a highly nonlinear dynamics which we analyze numerically. We carry out a detailed study of the bound that nucleosynthesis imposes on this model. The analysis shows that for any assumed value for Ω\Omega (the total energy density) one can fix the value of Ωbar\Omega_{\rm bar} (the baryonic energy density) in such a way as to accommodate the observational constraints coming from the 4He^4{\rm He} primordial abundance. In particular, if we impose the inflationary value Ω=1\Omega=1 the resulting baryonic energy density turns out to be Ωbar0.021\Omega_{\rm bar}\sim 0.021. This result lies in the very narrow range 0.016Ωbar0.0260.016 \leq \Omega_{\rm bar} \leq 0.026 allowed by the observed values of the primordial abundances of the other light elements. The remaining fraction of Ω\Omega corresponds to dark matter represented by a scalar field.Comment: Latex file 29 pages with no figures. Please contact M.Salgado for figures. A more careful study of the model appears in gr-qc/960603

    Symmetric vacuum scalar--tensor cosmology

    Get PDF
    The existence of point symmetries in the cosmological field equations of generalized vacuum scalar--tensor theories is considered within the context of the spatially homogeneous cosmologies. It is found that such symmetries only occur in the Brans--Dicke theory when the dilaton field self--interacts. Moreover, the interaction potential of the dilaton must take the form of a cosmological constant. For the spatially flat, isotropic model, it is shown how this point symmetry may be employed to generate a discrete scale factor duality in the Brans--Dicke action.Comment: 10 pages, latex, To appear in Class. Quantum Gra

    Scaling solutions in general non-minimal coupling theories

    Get PDF
    A class of generalized non-minimal coupling theories is investigated, in search of scaling attractors able to provide an accelerated expansion at the present time. Solutions are found in the strong coupling regime and when the coupling function and the potential verify a simple relation. In such cases, which include power law and exponential functions, the dynamics is independent of the exact form of the coupling and the potential. The constraint from the time variability of GG, however, limits the fraction of energy in the scalar field to less than 4% of the total energy density, and excludes accelerated solutions at the present.Comment: 10 pages, 3 figures, accepted for publication in Phys. Rev.

    Classical Euclidean wormhole solutions in Palatini f(R~)f(\tilde{R}) cosmology

    Full text link
    We study the classical Euclidean wormholes in the context of extended theories of gravity. With no loss of generality, we use the dynamical equivalence between f(R~)f(\tilde{R}) gravity and scalar-tensor theories to construct a point-like Lagrangian in the flat FRW space time. We first show the dynamical equivalence between Palatini f(R~)f(\tilde{R}) gravity and the Brans-Dicke theory with self-interacting potential, and then show the dynamical equivalence between the Brans-Dicke theory with self-interacting potential and the minimally coupled O'Hanlon theory. We show the existence of new Euclidean wormhole solutions for this O'Hanlon theory and, for an special case, find out the corresponding form of f(R~)f(\tilde{R}) having wormhole solution. For small values of the Ricci scalar, this f(R~)f(\tilde{R}) is in agreement with the wormhole solution obtained for higher order gravity theory R~+ϵR~2,ϵ<0\tilde{R}+\epsilon \tilde{R}^2,\epsilon<0.Comment: 11 page

    Constraints in the Context of Induced-gravity Inflation

    Full text link
    Constraints on the required flatness of the scalar potential V(ϕ)V(\phi) for a cousin-model to extended inflation are studied. It is shown that, unlike earlier results, Induced-gravity Inflation can lead to successful inflation with a very simple lagrangian and λ106\lambda \sim 10^{-6}, rather than 101510^{-15} as previously reported. A second order phase transition further enables this model to escape the \lq big bubble' problem of extended inflation, while retaining the latter's motivations based on the low-energy effective lagrangians of supergravity, superstring, and Kaluza-Klein theories.Comment: 19 pp; 3 figures (not included -- available from author). Plain LaTeX. In press in Physical Review

    Phase Transition in Conformally Induced Gravity with Torsion

    Get PDF
    We have considered the quantum behavior of a conformally induced gravity in the minimal Riemann-Cartan space. The regularized one-loop effective potential considering the quantum fluctuations of the dilaton and the torsion fields in the Coleman-Weinberg sector gives a sensible phase transition for an inflationary phase in De Sitter space. For this effective potential, we have analyzed the semi-classical equation of motion of the dilaton field in the slow-rolling regime.Comment: 7pages, no figur
    corecore