11,894 research outputs found

    Expanding universes in the conformal frame of f(R)f(R) gravity

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    The late time evolution of Friedmann-Robertson-Walker (FRW) models with a perfect fluid matter source is studied in the conformal frame of f(R)f(R) gravity. We assume that the corresponding scalar field, nonminimally coupled to matter, has an arbitrary non-negative potential function V(ϕ)V(\phi) . We prove that equilibria corresponding to non-negative local minima for VV are asymptotically stable. We investigate all cases where one of the matter components eventually dominates. The results are valid for a large class of non-negative potentials without any particular assumptions about the behavior of the potential at infinity. In particular for a nondegenerate minimum of the potential with zero critical value we show that if γ\gamma , the parameter of the equation of state is larger than one, then there is a transfer of energy from the fluid to the scalar field and the later eventually dominates.Comment: Talk given in "The Invisible Universe", June 29 - July 3, 2009, Pari

    Late time evolution of negatively curved FLRW models

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    We study the late time evolution of negatively curved Friedmann--Le\-ma\^{\i}tre--Robert\-son--Walker (FLRW) models with a perfect fluid matter source and a scalar field nonminimally coupled to matter. Since, under mild assumptions on the potential VV, it is already known that equilibria corresponding to non-negative local minima for VV are asymptotically stable, we classify all cases where one of the energy components eventually dominates. In particular for nondegenerate minima with zero critical value, we rigorously prove that if γ\gamma, the parameter of the equation of state is larger than 2/32/3, then there is a transfer of energy from the fluid and the scalar field to the energy density of the scalar curvature. Thus, the scalar curvature, if present, has a dominant effect on the late evolution of the universe and eventually dominates over both the perfect fluid and the scalar field. The analysis in complemented with the case where VV is exponential and therefore the scalar field diverges to infinity.Comment: accepted version for publicatio

    What We Owe Our Children, They Their Children,...

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    Egalitarian theorists, since Rawls, have in the main advocated equalizing some objective measure of individual well-being, such as primary goods, functioning, or resources, rather than subjective welfare. This discussion, however, has assumed, implicitly, a static environment. By analyzing a society that survives for many generations, we demonstrate that equality of opportunity for some objective condition is incompatible with human development over time. We argue that this incompatibility can be resolved by equalizing opportunities for welfare. Thus, 'subjectivism' seems necessary if we are to hope for a society which can both equalize opportunities and support the development of human capacity over time.Justice, development, dynamic programming, optimal taxation

    Superselection Theory for Subsystems

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    An inclusion of observable nets satisfying duality induces an inclusion of canonical field nets. Any Bose net intermediate between the observable net and the field net and satisfying duality is the fixed-point net of the field net under a compact group. This compact group is its canonical gauge group if the occurrence of sectors with infinite statistics can be ruled out for the observable net and its vacuum Hilbert space is separable.Comment: 28 pages, LaTe

    On the Role of NAO Driven Interannual Variability in Rainfall Seasonality on Water Resources and Hydrologic Design in a Typical Mediterranean Basin

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    In the last several decades, extended dry periods have affected the Mediterranean area with dramatic impacts on water resources. Climate models are predicting further warming, with negative effects on water availability. The authors analyze the hydroclimatic tendencies of a typical Mediterranean basin, the Flumendosa basin located in Sardinia, an island in the center of the Mediterranean Sea, where in the last 30 years a sequence of dry periods has seriously impacted the water management system. Interestingly, in the historic record the annual runoff reductions have been more pronounced than the annual precipitation reductions. This paper performs an analysis that links this runoff decrease to changes in the total annual precipitation and its seasonal structure. The seasonality is a key determinant of the surface runoff process, as it reflects the degree to which rainfall is concentrated during the winter. The observed reductions in winter precipitation are shown here to be well correlated (Pearson correlation coefficient of −0.5) with the North Atlantic Oscillation (NAO) index. Considering the predictability of the winter NAO, there is by extension an opportunity to predict future winter precipitation and runoff tendencies. The recent hydroclimatic trends are shown to impact hydrologic design criteria for water resources planning. The authors demonstrate that there is a dangerous increase of the drought severity viewed from the perspective of water resources planning
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