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The challenging issue of determining the correct $f(R)$ among several possibilities is here revised by means of numerical reconstructions of the modified Friedmann equations around the redshift interval $z\in[0,1]$. Frequently, a severe…

宇宙学与河外天体物理 · 物理学 2015-06-24 Liberato Pizza

We propose, and constrain with the latest observational data, three model-independent parametrizations of the cosmic deceleration parameter $q(z)$. They are well behaved and stay finite at all redshifts. We construct them by fixing the…

广义相对论与量子宇宙学 · 物理学 2012-10-16 Sergio del Campo , Ivan Duran , Ramon Herrera , Diego Pavon

In this paper, linear first order expansion of deceleration parameter $q(z)=q_0+q_1(1-a)$ ($M_1$), constant jerk $j=j_0$ ($M_2$) and third order expansion of luminosity distance ($M_3$) are confronted with cosmic observations: SCP 307 SN…

宇宙学与河外天体物理 · 物理学 2009-07-24 Lixin Xu , Wenbo Li , Jianbo Lu

We propose a strategy to infer the transition redshift $z_{da}$, which characterizes the passage through the universe decelerated to accelerated phases, in the framework $f(R)$ gravities. To this end, we numerically reconstruct $f(z)$, i.e.…

宇宙学与河外天体物理 · 物理学 2014-11-11 Salvatore Capozziello , Orlando Luongo

We reexamine the kink-like parameterization of the deceleration parameter to derive constraints on the transition redshift from cosmic deceleration to acceleration. This is achieved using observational Hubble data, Type Ia Supernovae…

宇宙学与河外天体物理 · 物理学 2024-04-30 Simran Arora , P. K. Sahoo

We propose two model independent methods to obtain constraints on the transition and equivalence redshifts $z_{tr}$, $z_{eq}$. In particular, we consider $z_{tr}$ as the onset of cosmic acceleration, whereas $z_{eq}$ the redshift at which…

宇宙学与河外天体物理 · 物理学 2021-11-17 Salvatore Capozziello , Peter K. S. Dunsby , Orlando Luongo

We propose a model-independent formalism to numerically solve the modified Friedmann equations in the framework of $f(T)$ teleparallel cosmology. Our strategy is to expand the Hubble parameter around the redshift $z=0$ up to a given order…

广义相对论与量子宇宙学 · 物理学 2017-11-01 Salvatore Capozziello , Rocco D'Agostino , Orlando Luongo

Cosmological redshift z grows as the Universe expands and is conventionally viewed as a third form of redshift, beyond the more traditional Doppler and gravitational effects seen in other applications of general relativity. In this paper,…

宇宙学与河外天体物理 · 物理学 2018-09-26 Fulvio Melia

A natural extension of the standard cosmological model are models that include curvature as a free parameter. In this work we study in detail the observational constraints on the non-flat $\Lambda CDM$ model using the two main geometric…

宇宙学与河外天体物理 · 物理学 2020-01-15 Velasquez-Toribio , A. M , Magnago , A. dos R

We investigate the linear growth function for the large scale structures of the universe considering modified Chaplygin gas as dark energy. Taking into account observational growth data for a given range of redshift from the Wiggle-Z…

宇宙学与河外天体物理 · 物理学 2015-06-16 B. C. Paul , P. Thakur

The number of galaxies with measured redshifts > 1 is at present rapidly increasing, allowing for measurements of their correlation function. The correlations function is measured in redshift space, as a function of angular separation and…

天体物理学 · 物理学 2009-10-31 Vibhat Nair

This paper aims to put constraints on the transition redshift $z_t$, which determines the onset of cosmic acceleration, in cosmological-model independent frameworks. In order to perform our analyses, we consider a flat universe and {assume}…

宇宙学与河外天体物理 · 物理学 2018-05-31 J. F. Jesus , R. F. L. Holanda , S. H. Pereira

Inspired by an exponential $f(R)$ gravity model studied in the literature, in this work we introduce a new and viable $f(Q)$ gravity model, which can be represented as a perturbation of $\Lambda$CDM. Typically, within the realm of $f(Q)$…

宇宙学与河外天体物理 · 物理学 2024-01-31 A. Oliveros , Mario A. Acero

We investigate late-time cosmology in the context of modified $f(Q,L_m)$ gravity, considering a non-linear model$ f(Q,L_m) = \alpha Q + \beta L_m^n + \lambda$ where, $\alpha$, $\beta$, $\lambda$, and $n$ are some free parameters. The…

广义相对论与量子宇宙学 · 物理学 2026-01-16 Rajdeep Mazumdar , Kalyan Malakar , Kalyan Bhuyan

We study cosmological evolution in a flat FLRW spacetime in the context of modified STEGR gravity or $f(Q)$, using an exponential two-parameter model which represents a smooth perturbative expansion around the $\Lambda$CDM model. The…

广义相对论与量子宇宙学 · 物理学 2025-04-15 Ivan R. Vasquez , A. Oliveros

The growth index $\gamma$ is a powerful trigger for detecting deviations from $\Lambda$CDM. However, its value is often determined by considering an asymptotic constant value that works for all redshift, or else following a chosen…

宇宙学与河外天体物理 · 物理学 2026-01-26 Ziad Sakr , Jinglan Zheng

This paper aims to put constraints on the transition redshift $z_t$, which determines the onset of cosmic acceleration, in cosmological-model independent frameworks. In order to do that, we use the non-parametric Gaussian Process method…

宇宙学与河外天体物理 · 物理学 2020-05-20 J. F. Jesus , R. Valentim , A. A. Escobal , S. H. Pereira

The nature of dark energy may be probed by the derivative $Q=\left.dq(z)/dz\right|_0$ at redshift $z=0$ of the deceleration parameter $q(z)$. It is probably static if $Q<1$ or dynamic if $Q>2.5$, supporting $\Lambda$CDM or, respectively,…

星系天体物理 · 物理学 2016-06-15 Maurice H. P. M. van Putten

The transition redshift (deceleration/acceleration) is discussed by expanding the deceleration parameter to first order around its present value. A detailed study is carried out by considering two different parameterizations: $q=q_0 + q_1z$…

天体物理学 · 物理学 2011-02-11 J. V. Cunha , J. A. S. Lima

In this methodological note we discuss several topics related to interpretation of some basic cosmological principles. We demonstrate that one of the key points is the usage of synchronous reference frames. The Friedmann-Robertson-Walker…

广义相对论与量子宇宙学 · 物理学 2015-11-20 A. V. Toporensky , S. B. Popov