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Using techniques from loop quantum gravity, the standard theory of cosmological perturbations was recently generalized to encompass the Planck era. We now apply this framework to explore pre-inflationary dynamics. The framework enables us…

广义相对论与量子宇宙学 · 物理学 2015-03-12 Ivan Agullo , Abhay Ashtekar , William Nelson

In this work, we studied the slow-roll approximation of cosmic inflation within the context of $f(R,T)$ gravity, where $R$ is the scalar curvature, and $T$ is the trace of the energy-momentum tensor. By choosing a minimal coupling between…

广义相对论与量子宇宙学 · 物理学 2021-01-12 Mauricio Gamonal

Kaniadakis entropy is a one-parameter deformation of the classical Boltzmann-Gibbs-Shannon entropy, arising from a self-consistent relativistic statistical theory. Assuming a Kaniadakis-type generalization of the entropy associated with the…

广义相对论与量子宇宙学 · 物理学 2023-11-09 Gaetano Lambiase , Giuseppe Gaetano Luciano , Ahmad Sheykhi

The full set of cosmological observables coming from linear scalar and tensor perturbations of loop quantum cosmology is computed in the presence of inverse-volume corrections. Background inflationary solutions are found at linear order in…

广义相对论与量子宇宙学 · 物理学 2011-03-28 Martin Bojowald , Gianluca Calcagni

Attempts to apply quantum collapse theories to Cosmology and cosmic inflation are reviewed. These attempts are motivated by the fact that the theory of cosmological perturbations of quantum-mechanical origin suffers from the single outcome…

量子物理 · 物理学 2021-04-14 Jerome Martin , Vincent Vennin

We derive general analytic formulae for the power spectrum and spectral index of the curvature perturbation produced during inflation driven by a multi-component inflaton field, up to the second order in the slow-roll approximation. We do…

天体物理学 · 物理学 2009-10-28 Takahiro T. Nakamura , Ewan D. Stewart

We first derive the primordial power spectra, spectral indices and runnings of both scalar and tensor perturbations of a flat inflationary universe to the second-order approximations of the slow-roll parameters, in the framework of loop…

广义相对论与量子宇宙学 · 物理学 2016-03-25 Tao Zhu , Anzhong Wang , Klaus Kirsten , Gerald Cleaver , Qin Sheng , Qiang Wu

We solve a general equation describing the lowest order corrections arising from quantum gravitational effects to the spectrum of cosmological fluctuations. The spectra of scalar and tensor perturbations are calculated to first order in the…

广义相对论与量子宇宙学 · 物理学 2015-06-19 Alexander Y. Kamenshchik , Alessandro Tronconi , Giovanni Venturi

In the framework of gravitational models obtained from the Geometric Inflation's proposal, where an infinite tower of curvature scalars are included into the action, we compute the slow-roll parameters by the Hubble slow-roll approach. We…

广义相对论与量子宇宙学 · 物理学 2020-09-02 Gustavo Arciniega , Luisa Jaime , Gabriella Piccinelli

We investigate how various inflationary and bouncing cosmologies can be realized by imperfect fluids with a generalized equation of state, in the context of both classical and loop quantum cosmology. With regards to the inflationary…

广义相对论与量子宇宙学 · 物理学 2017-09-06 V. K. Oikonomou

We propose a general inverse formula for extracting inflationary parameters from the observed power spectrum of cosmological perturbations. Under the general slow-roll scheme, which helps to probe the properties of inflation in a model…

天体物理学 · 物理学 2009-11-10 Minu Joy , Ewan D. Stewart , Jinn-Ouk Gong , Hyun-Chul Lee

We present a new approximation scheme that allows us to increase the accuracy of analytical predictions of the power spectra of inflationary perturbations for two specific classes of inflationary models. Among these models are chaotic…

天体物理学 · 物理学 2015-06-24 C. A. Terrero-Escalante , D. J. Schwarz , A. A. Garcia

We argue that the discrepancy between the Planck mass scale and the observed value of the cosmological constant can be largely attenuated if those quantities are understood as a result of effective, and thus scale-dependent, couplings. We…

广义相对论与量子宇宙学 · 物理学 2020-01-15 Felipe Canales , Benjamin Koch , Cristobal Laporte , Angel Rincon

The inflationary paradigm enjoys a very wide acceptance in the cosmological community, due in large part to the fact that it is said to "naturally account" for a nearly scale independent power primordial spectrum of fluctuations which is in…

广义相对论与量子宇宙学 · 物理学 2011-03-28 Gabriel Leon , Daniel Sudarsky

In this paper we consider realistic model of inflation embedded in the framework of loop quantum cosmology. Phase of inflation is preceded here by the phase of a quantum bounce. We show how parameters of inflation depend on the initial…

广义相对论与量子宇宙学 · 物理学 2010-04-06 Jakub Mielczarek

Cosmological inflation predicts that the scalar spectral index "runs" with scale. Constraints on the values of the spectral runnings, $\alpha_s\equiv \textrm{d} n_s/\textrm{d}\ln k$ and $\beta_s\equiv \textrm{d}\alpha_s/\textrm{d}\ln k$,…

宇宙学与河外天体物理 · 物理学 2018-08-08 Xiaolei Li , Noah Weaverdyck , Saroj Adhikari , Dragan Huterer , Jessica Muir , Hao-Yi Wu

In the context of f(R) theories of gravity, we study the cosmological evolution of scalar perturbations by using a completely general procedure. We find that the exact fourth-order differential equation for the matter density perturbations…

天体物理学 · 物理学 2015-05-13 A. de la Cruz-Dombriz , A. Dobado , A. L. Maroto

Scalar field with non-minimal coupling to curvature scalar is studied in Robertson-Walker background. The infrared limit of two point function, and, in turn, of the energy-momentum tensor of scalar field have been considered in the power…

广义相对论与量子宇宙学 · 物理学 2020-07-16 Amit Kundu , Prasenjit Paul

We present the analytic forms for the spectra of the cosmological perturbations from an initially anisotropic universe for the high momentum modes in the context of WKB approximations, as the continuation of the work [29]. We consider the…

广义相对论与量子宇宙学 · 物理学 2011-03-28 Hyeong-Chan Kim , Masato Minamitsuji

The possibility that quantum geometry effects may alleviate the apparent tensions existing at large angular scales in the observations of the Cosmic Microwave Background explains the increasing interest in considering primordial…

广义相对论与量子宇宙学 · 物理学 2024-07-26 Guillermo A. Mena Marugán , Antonio Vicente-Becerril , Jesús Yébana Carrilero