arXiv subjects

Luca Amendola

Publications and source records attributed to Luca Amendola.

190 records · Page 11Linked to original sources

arXiv1996

Reconstruction of the bubble nucleating potential

We calculate analytically the bubble nucleation rate in a model of first order inflation which is able to produce large scale structure. The computation includes the first-order departure from the thin-wall limit, the explicit derivation of the pre-exponential factor, and the gravitational correction. The resulting bubble spectrum is then compared with constraints from the large scale structure and the microwave background. We show that there are models which pass all the constraints and produce bubble-like perturbations of interesting size. Furthermore, we show that it is in principle possible to reconstruct completely the inflationary two-field potential from observations.

astro-ph↗

arXiv1995

Anisotropic Inflation from Extra Dimensions

Vacuum multidimensional cosmological models with internal spaces being compact $n$-dimensional Lie group manifolds are considered. Products of 3-spheres and $SU(3)$ manifold (a novelty in cosmology) are studied. It turns out that the dynamical evolution of the internal space drives an accelerated expansion of the external world (power law inflation). This generic solution (attractor in a phase space) is determined by the Lie group space without any fine tuning or arbitrary inflaton potentials. Matter in the four dimensions appears in the form of a number of scalar fields representing anisotropic scale factors for the internal space. Along the attractor solution the volume of the internal space grows logarithmically in time. This simple and natural model should be completed by mechanisms terminating the inflationary evolution and transforming the geometric scalar fields into ordinary particles.

gr-qc↗

arXiv1995

The power spectrum in a strongly inhomogeneous Universe

A crucial issue in cosmology is the determination of the fluctuation power spectrum.The standard picture of the matter clustering, the Cold Dark Matter model (and its variant), assumes that,on scales smaller than a certain ``flattening scale'' $λ_f$, the power spectrum increases with the scale, while on much larger scales it decreases so to match the tiny fluctuations observed in the microwave background. The standard picture also assumes that, once a statistically homogeneous sample is reached, the power spectrum amplitude is fixed, and any major variation should be attributed to luminosity segregation. However, the determination of $λ_f$ and of the absolute amplitude, if any, is still matter of debate. In particular, there is no consensus on whether the turnaround has been detected or not, and on the actual importance of the luminosity segregation effect. We show that, due to the finiteness of the sample the standard analysis of self-similar (fractal) distributions yields a turnaround for scales close to the survey scale, and a systematic amplitude shift with the survey scale. We point out that both features, bending and scaling, are in agreement with recent determination of the power spectrum, in particular with the CfA2 spectrum. We remark that the standard power spectrum is not a well defined statistical tool to characterize the galaxy distribution when a homogeneity scale has not been reached. In order to perform an analysis that does not imply any a priori assumption one should study the PS of the density, rather than the PS of the density contrast.

astro-ph↗

arXiv1995

Reconciling Inflation with Openness

It is already understood that the increasing observational evidence for an open Universe may be reconciled with inflation if our horizon is contained inside one single huge bubble nucleated during the inflationary phase transition. In the scenario we present here, the Universe consists of infinitely many superhorizon bubbles, like our own, the distribution of which can be made to peak at $Ω_0\approx 0.2$. Therefore, unlike the existing literature, we do not have to rely upon the anthropic principle nor upon special initial conditions.

astro-ph↗

arXiv1995

Non-Gaussian Likelihood Function

We generalize the maximum likelihood method to non-Gaussian distribution functions by means of the multivariate Edgeworth expansion. We stress the potential interest of this technique in all those cosmological problems in which the determination of a non-Gaussian signature is relevant, e.g. in the analysis of large scale structure and cosmic microwave background. A first important result is that the asymptotic confidence limits on the parameters are systematically widened when the higher order correlation functions are positive, with respect to the Gaussian case.

astro-ph↗

arXiv1995

String Cosmology and Inflation

Following a suggestion by Gasperini and Veneziano, that String Cosmology can be reconciled with Inflation and, hence, with the Standard Big Bang, we display an analytical solution which possesses four interesting properties: (1) it is non-singular; (2) it distinguishes the dynamics of the external scale factor, $a(t)$, from that of the internal one, $b(t)$; (3) it exhibits a non-monotonic behavior of $a(t)$; and (4) it stabilizes both Newton's constant and $b(t)$ (the latter to a finite, non-vanishing value). The interest of the non-monotonic evolution of $a(t)$ consists in the fact that it contains three phases of accelerated expansion, contraction and expansion before the final decelerated expansion which eventually becomes the Standard Big Bang. The total number of e-folds of the three accelerated eras can be calculated and tuned to fit the requests of observational astronomy.

astro-ph↗

arXiv1994

Non-Gaussian statistics of pencil beam surveys

We study the effect of the non-Gaussian clustering of galaxies on the statistics of pencil beam surveys. We find that the higher order moments of the galaxy distribution play an important role in the probability distribution for the power spectrum peaks. Taking into account the observed values for the kurtosis of galaxy distribution we derive the general probability distribution for the power spectrum modes in non-Gaussian models and show that the probability to obtain the 128$\hm$ periodicity found in pencil beam surveys is raised by roughly one order of magnitude. The non-Gaussianity of the galaxy distribution is however still insufficient to explain the reported peak-to-noise ratio of the periodicity, so that extra power on large scales seems required.

astro-ph↗

arXiv1993

Large-Scale Clustering in Bubble Models

We analyze the statistical properties of bubble models for the large-scale distribution of galaxies. To this aim, we realize static simulations, in which galaxies are mostly randomly arranged in the regions surrounding bubbles. As a first test, we realize simulations of the Lick map, by suitably projecting the three-dimensional simulations. In this way, we are able to safely compare the angular correlation function implied by a bubbly geometry to that of the APM sample. We find that several bubble models provide an adequate amount of large-scale correlation, which nicely fits that of APM galaxies. Further, we apply the statistics of the count-in-cell moments to the three-dimensional distribution and compare them with available observational data on variance, skewness and kurtosis. Based on our purely geometrical constructions, we find that a well defined hierarchical scaling of higher order moments up to scales $\sim 70\hm$. The overall emerging picture is that the bubbly geometry is well suited to reproduce several aspects of large-scale clustering.

astro-ph↗

arXiv1993

Inflationary Attractors and Perturbation Spectra in Generally Coupled Gravity

A generic outcome of theories with scalar-tensor coupling is the existence of inflationary attractors, either power-law or de Sitter. The fluctuations arising during this phase are Gaussian and their spectrum depends on the wavenumber $k$ according to the power-law $k^{1/(1-p)}$, where $p$ is the inflationary power-law exponent. We investigate to which extent these properties depend on the coupling function and on the potential. We find the class of models in which viable attractors exist. Within this class, we find that the cosmic expansion and the scaling of the fluctuation spectrum are independent of the coupling function. Further, the analytical solution of the Fokker-Planck equation shows that the deviations from Gaussianity are negligible.

gr-qc↗

arXiv1993

Cosmology with Nonminimal Derivative Couplings

We study a theory which generalizes the nonminimal coupling of matter to gravity by including derivative couplings. This leads to several interesting new dynamical phenomena in cosmology. In particular, the range of parameters in which inflationary attractors exist is greatly expanded. We also numerically integrate the field equations and draw the phase space of the model in second order approximation. The model introduced here may display different inflationary epochs, generating a non-scale-invariant fluctuation spectrum without the need of two or more fields. Finally, we comment on the bubble spectrum arising during a first-order phase transition occurring in our model.

gr-qc↗