Cosmological Perturbations in Early and Late Cosmology-in Honor of Professor Maurizio Gasperini on the Occasion of His 70th Birthday

A special issue of Universe (ISSN 2218-1997). This special issue belongs to the section "Cosmology".

Deadline for manuscript submissions: closed (30 November 2022) | Viewed by 5670

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Dipartimento di Fisica, Università di Bari and Istituto Nazionale di Fisica Nucleare, Sezione di Bari, Via G. Amendola 173, 70126 Bari, Italy
Interests: general relativity and theoretical cosmology; dark energy; CMB; cosmological perturbation theory

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Guest Editor
1. Dipartimento di Fisica, Università di Pisa, Largo B. Pontecorvo 3, 56127 Pisa, Italy
2. Istituto Nazionale di Fisica Nucleare, Sezione di Pisa, Largo B. Pontecorvo 3, 56127 Pisa, Italy
Interests: theoretical cosmology; cosmological perturbation theory; inflation; CMB lensing; relativistic cosmology; dark energy

Special Issue Information

Dear Colleagues,

The study of cosmological perturbations, their origin, and dynamical evolution is one of the most powerful tools that we have to investigate the past history of our Universe, starting from its very primordial epoch to the later formation of large-scale structures. The classical and quantum basis of cosmological perturbation theory were presented by a number of pioneer researchers during the last century, first with Newtonian gravity, then with general relativity, and finally, the development of the inflationary scenario in the eighties. This theory has resulted in the development of countless and very important achievements, such as the explanation of the observed anisotropies in the cosmic microwave background, the prediction of a stochastic background of primordial gravitational radiation, and the generation of seeds for the production of primordial magnetic fields and possibly primordial black holes. When discussing the Universe in present times, it is necessary to take perturbations into account in order to extract the values of fundamental cosmological parameters, such as those that are related to dark energy and dark matter, that can be gained from these observations.

The aim of this Special Issue is twofold: (i) to provide a review of the main results and the present status of this field of research, a review that should be useful as a high-level introduction to this branch of modern cosmology, and (ii) to stimulate the discussion of open problems and possible future developments, also in view of forthcoming, high-precision, and observational data. Contributors are thus invited to present, apart from their past achievements on cosmological perturbations, suggestions of possible new avenues for improving our understanding of early and late-stage cosmological dynamics and for comparing the predictions of the standard cosmological model to those of alternative scenarios.

Prof. Dr. Luigi Tedesco
Prof. Dr. Giovanni Marozzi
Guest Editors

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Keywords

  • cosmological perturbation theory
  • inflation
  • CMB anisotropies
  • structure formation
  • relic gravitational waves
  • detection of primordial GW backgrounds
  • primordial black holes
  • cosmological backreaction
  • light–cone perturbations
  • luminosity distance
  • bouncing cosmology
  • cosmological averaging prescriptions
  • quantum cosmology
  • string cosmology
  • trans-planckian censorship conjecture

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Published Papers (3 papers)

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Research

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31 pages, 498 KiB  
Article
A Scale-Dependent Distance Functional between Past Light Cones in Cosmology
by Mauro Carfora and Francesca Familiari
Universe 2023, 9(1), 25; https://doi.org/10.3390/universe9010025 - 30 Dec 2022
Cited by 2 | Viewed by 1474
Abstract
We discuss a rigorous procedure for quantifying the difference between our past light cone and the past light cone of the fiducial Friedmann–Lemaitre–Robertson–Walker spacetime, modeling the large-scale descriptions of cosmological data in the standard ΛCDM scenario. This result is made possible by [...] Read more.
We discuss a rigorous procedure for quantifying the difference between our past light cone and the past light cone of the fiducial Friedmann–Lemaitre–Robertson–Walker spacetime, modeling the large-scale descriptions of cosmological data in the standard ΛCDM scenario. This result is made possible by exploiting the scale-dependent distance functional between past light cones recently introduced by us. We express this harmonic map-type functional in terms of the physical quantities that characterize the actual measurements along our past light cone, namely the area distance and the lensing distortion, also addressing the very delicate problem of the presence of light cone caustics. This analysis works beautifully and seems to remove several of the difficulties encountered in comparing the actual geometry of our past light cone with the geometry of the fiducial FLRW light cone of choice. We also discuss how, from the point of view of the FLRW geometry, this distance functional may be interpreted as a scale-dependent effective field, the pre-homogeneity field, which may be of relevance in selecting the FLRW model that best fits the observational data. Full article

Review

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24 pages, 2264 KiB  
Review
On General-Relativistic Lagrangian Perturbation Theory and Its Non-Perturbative Generalization
by Thomas Buchert, Ismael Delgado Gaspar and Jan Jakub Ostrowski
Universe 2022, 8(11), 583; https://doi.org/10.3390/universe8110583 - 4 Nov 2022
Cited by 5 | Viewed by 1972
Abstract
The Newtonian Lagrangian perturbation theory is a widely used framework to study structure formation in cosmology in the nonlinear regime. We review a general-relativistic formulation of such a perturbation approach, emphasizing results on an already developed extensive formalism including among other aspects: the [...] Read more.
The Newtonian Lagrangian perturbation theory is a widely used framework to study structure formation in cosmology in the nonlinear regime. We review a general-relativistic formulation of such a perturbation approach, emphasizing results on an already developed extensive formalism including among other aspects: the non-perturbative modeling of Ricci and Weyl curvatures, gravitational waves, and pressure-supported fluids. We discuss subcases of exact solutions related to Szekeres Class II and, as an exact average model, Ricci-flat LTB models. The latter forms the basis of a generalization that we then propose in terms of a scheme that goes beyond the relativistic Lagrangian perturbation theory on a global homogeneous-isotropic background cosmology. This new approximation does not involve a homogeneous reference background and it contains Szekeres class I (and thus general LTB models) as exact subcases. Most importantly, this new approximation allows for the interaction of structure with an evolving “background cosmology”, conceived as a spatial average model, and thus includes cosmological backreaction. Full article
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16 pages, 455 KiB  
Review
Cosmological Perturbations in Bouncing Cosmologies and the Case of the Pre-Big Bang Scenario
by Valerio Bozza
Universe 2022, 8(7), 379; https://doi.org/10.3390/universe8070379 - 13 Jul 2022
Cited by 2 | Viewed by 1450
Abstract
Pre-Big Bang cosmology inspired generations of cosmologists in attempts to cure the initial Big Bang singularity using a fundamental length scale as proposed by string theory. The existence of a phase of collapse/inflation with increasing curvature followed by a cosmic bounce has been [...] Read more.
Pre-Big Bang cosmology inspired generations of cosmologists in attempts to cure the initial Big Bang singularity using a fundamental length scale as proposed by string theory. The existence of a phase of collapse/inflation with increasing curvature followed by a cosmic bounce has been proposed as an alternative to standard inflation in the solution of the horizon and curvature problems. However, the generation of a nearly scale-invariant spectrum of perturbations is not an automatic prediction of such scenarios. In this paper, I review some general statements about the evolution of perturbations in bouncing cosmologies and some historically significant attempts to reconcile the predicted spectra with the observations. Bouncing cosmologies and, in particular, the pre-Big Bang scenario stand as viable, although more complicated, alternatives to inflation that may still help solve current theoretical and observational tensions. Full article
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