Duality linking standard and tachyon scalar field cosmologies

In this work we investigate the duality linking standard and tachyon scalar field homogeneous and isotropic cosmologies in N + 1 dimensions. We determine the transformation between standard and tachyon scalar fields and between their associated potentials, corresponding to the same background evolution. We show that, in general, the duality is broken at a perturbative level, when deviations from a homogeneous and isotropic background are taken into account. However, we find that for slow-rolling fields the duality is still preserved at a linear level. We illustrate our results with specific examples of cosmological relevance, where the correspondence between scalar and tachyon scalar field models can be calculated explicitly.

Inflationary expectations during Germany's great slump

Was the German slump inevitable? This paper argues that -despite thespeed and depth of Germany's deflation in the early 1930s - fear ofinflation is evident in the bond, foreign exchange, and commodity marketsat certain critical junctures of the Great Depression. Therefore, policyoptions were more limited than many subsequent critics of Brüning'spolicies have been prepared to admit. Using a rational expectationsframework, we find strong evidence from the bondmarket to suggest fearof inflation. Futures prices also reveal that market participants werebetting on price increases. These findings are discussed in the contextof reparations and related to the need for a regime shift to overcomethe crisis.

Reheating in inflationary cosmologies: Geometric coupling of the "inflaton" to quantum fields

We propose a simple geometrical prescription for coupling a test quantum scalar field to an "inflaton" (classical scalar field) in the presence of gravity. When the inflaton stems from the compactification of a Kaluza-Klein theory, the prescription leaves no arbitrariness and amounts to a dimensional reduction of the Klein-Gordon equation. We discuss the possible relevance of this coupling to "reheating" in inflationary cosmologies.

Quantized fields and gravitational particle creation in f (R) expanding universes

The problem of cosmological particle creation for a spatially flat, homogeneous and isotropic universes is discussed in the context of f (R) theories of gravity. Different from cosmological models based on general relativity theory, it is found that a conformal invariant metric does not forbid the creation of massless particles during the early stages (radiation era) of the universe. (C) 2010 Elsevier B.V. All rights reserved.

Predictions from an anisotropic inflationary era

This paper investigates the predictions of an inflationary phase starting from a homogeneous and anisotropic universe of the Bianchi I type. After discussing the evolution of the background spacetime, focusing on the number of e-folds and the isotropization, we solve the perturbation equations and predict the power spectra of the curvature perturbations and gravity waves at the end of inflation. The main features of the early anisotropic phase is (1) a dependence of the spectra on the direction of the modes, (2) a coupling between curvature perturbations and gravity waves and (3) the fact that the two gravity wave polarizations do not share the same spectrum on large scales. All these effects are significant only on large scales and die out on small scales where isotropy is recovered. They depend on a characteristic scale that can, but a priori must not, be tuned to some observable scale. To fix the initial conditions, we propose a procedure that generalizes the one standardly used in inflation but that takes into account the fact that the WKB regime is violated at early times when the shear dominates. We stress that there exist modes that do not satisfy the WKB condition during the shear-dominated regime and for which the amplitude at the end of inflation depends on unknown initial conditions. On such scales, inflation loses its predictability. This study paves the way for the determination of the cosmological signature of a primordial shear, whatever the Bianchi I spacetime. It thus stresses the importance of the WKB regime to draw inflationary predictions and demonstrates that, when the number of e-folds is large enough, the predictions converge toward those of inflation in a Friedmann-Lemaitre spacetime but that they are less robust in the case of an inflationary era with a small number of e-folds.

Inflationary bias and state owned financial institutions

This article explains why the existence of state owned financial institutions makes it more difficult for a country to balance its budget. We show that states can use their financiaI institutions to transfer their deficits to the federal govemment. As a result, there is a bias towards Iarge deficits and high inflation rates. Our model also predicts that state owned financiaI institutions should underperform the market, mainly because they concentrate their portfolios on non-performing loans to their own shareholders, that is, the states. Brazil and Argentina are two countries with a history of high inflation that confirm our predictions .

Inflationary financing of public investment and economic growth

a theoretical model is constructed in order to explain particular historical experiences in which inflation acceleration apparently helped to spur a period of economic growth. Government financed expenditures affect positively the productivity growth in this model so that the distortionary effect of inflation tax is compensated by the productive effect of public expenditures. We show that for some interval of money creation rates there is an equilibrium where money is valued and where steady state physical capital grows with inflation. It is also shown that zero inflation and growth maximization are never the optimal policies.

Optimal-state-dependent rules, credibility, and inflationary inertia

This paper examines the output losses caused by disinflation and the role of credibility in a model where pricing mIes are optimal and individual prices are rigid. Individual nominal rigidity is modeled as resulting from menu costs. The interaction between optimal pricing mIes and credibility is essential in determining the inflationary inertia. A continued period of high inflation generates an asymmetric distribution of price deviations, with more prices that are substantially lower than their desired leveIs than prices that are substantially higher than the optimal ones. When disinflation is not credible, inflationary inertia is engendered by this asymmetry: idiosyncratic shocks trigger more upward than downward adjustments. A perfect1y credible disinflation causes an immediate change of pricing rules which, by rendering the price deviation distribution less asymmetric, practically annihilates inflationary inertia. An implication of our model is that stabilization may be sucessful even when credibility is low, provided that it is preceded by a mechanism of price alignment. We also develop an analytical framework for analyzing imperfect credibility cases.

Casimir energy density in closed hyperbolic universes

The original Casimir effect results from the difference in the vacuum energies of the electromagnetic field, between that in a region of space with boundary conditions and that in the same region without boundary conditions. In this paper we develop the theory of a similar situation, involving a scalar field in spacetimes with closed spatial sections of negative curvature.

What do very nearly flat detectable cosmic topologies Rook like?

Recent studies of the delectability of the cosmic topology of nearly flat universes have often concentrated on the range of values of Omega(0) given by current observations. Here we study the consequences of taking a range of bounds satisfying \Omega(0) - 1\ much less than 1, which include those expected from future observations such as the Planck mission, as well as those predicted by inflationary models. We show that in this limit, a generic detectable non-flat manifold is locally indistinguishable from either a cylindrical (R-2 X S) or toroidal (R x T-2) manifold, irrespective of its global shape, with the former being more likely. Importantly, this is compatible with some recent indications of the alignment of the quadrupole and octupole moments, based on the analysis of the first year WMAP data. It also implies that in this limit an observer would not be able to distinguish topologically whether the universe is spherical, hyperbolic or flat. By severely restricting the expected topological signatures of detectable isometries, our results provide an effective theoretical framework for interpreting cosmological observations, and can be used to confine the parameter spaces which realistic search strategies, such as the 'circles in the sky' method, need to concentrate on.