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The perturbative approach to structure formation has recently received a lot of attention in the literature. In such setups the final predictions for observables like the power spectrum is often derived under additional approximations such…

Cosmology and Nongalactic Astrophysics · Physics 2016-12-14 Matteo Fasiello , Zvonimir Vlah

We study the evolution of linear perturbations in a Lema\^itre-Tolman-Bondi (LTB) void model with realistic cosmological initial conditions. Linear perturbation theory in LTB models is substantially more complicated than in standard…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-23 Sven Meyer , Matthias Redlich , Matthias Bartelmann

We give a pedagogical review of a covariant and fully non-perturbative approach to study nonlinear perturbations in cosmology. In the first part, devoted to cosmological fluids, we define a nonlinear extension of the uniform-density…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-18 David Langlois , Filippo Vernizzi

Recently a modified version of Rastall theory of gravity has been introduced in which a varying coupling parameter could act as dark energy (DE) and thus, it can be held responsible for the current accelerated expansion of the Universe.…

General Physics · Physics 2020-11-20 A. H. Ziaie , H. Moradpour , H. Shabani

In this work we investigate the evolution of matter density perturbations for quintessence models with a self-interaction potential that is a combination of exponentials. One of the models is based on the Einstein theory of gravity, while…

Astrophysics · Physics 2009-06-23 Tame Gonzalez , Rolando Cardenas , Israel Quiros , Yoelsy Leyva

In this article, our goal is to investigate the cosmological dynamics and structure formation in a modified cosmological framework inspired by a generalized mass-to-horizon entropy relation and consistent with the Clausius relation.…

General Relativity and Quantum Cosmology · Physics 2026-04-20 Subhra Mondal , Amitava Choudhuri

We study the cosmological perturbations in teleparallel dark energy models in which there is a dynamical scalar field with a non-minimal coupling to gravity. We find that the propagating degrees of freedom are the same as in quintessence…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-12 Chao-Qiang Geng , Yi-Peng Wu

In this brief note we present a set of equations describing the evolution of perturbed scalar fields in a cosmological spacetime with multiple scalar fields. We take into account of the simultaneously excited full metric perturbations in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 J. Hwang

In this letter we review the separate universe approach for cosmological perturbations and point out that it is essentially the lowest order approximation to a gradient expansion. Using this approach, one can study the nonlinear evolution…

Astrophysics · Physics 2009-11-10 G. I. Rigopoulos , E. P. S. Shellard

We study how the presence of a background magnetic field, of intensity compatible with current observation constraints, affects the linear evolution of cosmological density perturbations at scales below the Hubble radius. The magnetic field…

Cosmology and Nongalactic Astrophysics · Physics 2012-11-22 Massimiliano Lattanzi , Nakia Carlevaro , Giovanni Montani

We present a systematic treatment of the linear theory of scalar gravitational perturbations in the synchronous gauge and the conformal Newtonian (or longitudinal) gauge. We first derive the transformation law relating the two gauges. We…

Astrophysics · Physics 2009-10-22 Chung-Pei Ma , Edmund Bertschinger

In the context of $f(R)$ theories of gravity, we study the evolution of scalar cosmological perturbations in the metric formalism. Using a completely general procedure, we find the exact fourth-order differential equation for the matter…

Astrophysics · Physics 2008-11-26 A. de la Cruz-Dombriz , A. Dobado , A. L. Maroto

Structure formation models with a cosmological constant are successful in explaining large-scale structure data, but are threatened by the magnitude-redshift relation for Type Ia supernovae. This has led to discussion of models where the…

Astrophysics · Physics 2009-12-30 Pedro T P Viana , Andrew R Liddle

We construct a theory of gravity in which a propagating massive vector field arises from a quadratic curvature invariant. The Einstein-Cartan formulation and a partial suppression of torsion ensure the absence of ghost and strong-coupling…

High Energy Physics - Theory · Physics 2024-01-18 Will Barker , Sebastian Zell

We consider the evolution of perturbed cosmological spacetime with multiple scalar fields in Einstein gravity. A complete set of scalar-type perturbation equations is presented in a gauge-ready form, and we derived the closed set of…

Astrophysics · Physics 2009-10-31 J. Hwang , H. Noh

We derive a generalized equation for the evolution of tensor perturbations in a cosmological background, taking into account higher-curvature contributions and a tree-level coupling to the dilaton in the string frame. The equation is…

General Relativity and Quantum Cosmology · Physics 2009-10-30 M. Gasperini

The inability of primordial baryonic density fluctuations, as observed in the cosmic microwave background (CMB), to grow into the present day astronomical structures is well established, under Newtonian and Einsteinian gravity. It is hence…

Cosmology and Nongalactic Astrophysics · Physics 2013-07-03 X. Hernandez , M. A. Jimenez

We present the leading order non-linear density and velocity power spectra in the complete form; previous studies have omitted the vector- and tensor-type perturbations simultaneously excited by the scalar-type perturbation in nonlinear…

Cosmology and Nongalactic Astrophysics · Physics 2016-04-22 Jai-chan Hwang , Donghui Jeong , Hyerim Noh

Some models within the framework of Gauss-Bonnet gravities are considered in the presence of a non-minimally coupled scalar field. By imposing a particular constraint on the scalar field coupling, an extension of the called…

General Relativity and Quantum Cosmology · Physics 2022-07-19 Sergei D. Odintsov , Diego Saez-Chillon Gomez , German S. Sharov

We investigate an interacting quintessence dark energy - dark matter scenario and its impact on structure formation by analyzing the evolution of scalar perturbations. The interaction is introduced by incorporating a non-zero source term…

General Relativity and Quantum Cosmology · Physics 2025-02-06 Anirban Chatterjee , Abhijit Bandyopadhyay , Debasish Majumdar
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