Density perturbation and cosmological evolution in the presence of magnetic field in $f(R)$ gravity models

Abstract

In this paper, we have investigated the density perturbations and cosmological evolution in the FLRW universe in presence of a cosmic magnetic field, which may be assumed to mimic primordial magnetic fields. Such magnetic fields have sufficient strength to influence galaxy formation and cluster dynamics, thereby leaving an imprint on the CMB anisotropies. We have considered the FLRW universe as a representative of the isotropic cosmological model in the 1+3 covariant formalism for $f(R)$ gravity. The propagation equations have been determined and analyzed, where we have assumed that the magnetic field is aligned uniformly along the $x$-direction, resulting in a diagonal shear tensor. Subsequently,the density perturbation evolution equations have been studied and the results have been interpreted. We have also indicated how these results change in the general relativistic case and briefly mentioned the expected change in higher-order gravity theories.

arXiv comment12 pages, accepted for publication in AHEP

References in corpus (63)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• f(R) theories
• Extended Theories of Gravity
• Cosmological Constant - the Weight of the Vacuum
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Curvature Quintessence
• Magnetic Fields in the Early Universe
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• The Large Scale Structure of f(R) Gravity
• Modified gravity models of dark energy
• Dynamics of scalar perturbations in f(R,T) gravity
• Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models
• Theory of cosmological perturbations in an anisotropic universe
• Cosmology with inhomogeneous magnetic fields
• The Nature of Primordial Fluctuations from Anisotropic Inflation
• The evolution of density perturbations in f(R) gravity
• Inflationary perturbations in anisotropic backgrounds and their imprint on the CMB
• General Relativistic 1+3 Orthonormal Frame Approach Revisited
• Progress on Cosmological Magnetic Fields
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• Magnetized cosmological perturbations
• The Dipole Magnetic Field and Spin-down Evolutions of The High Braking Index Pulsar PSR J1640-4631
• Shear dynamics in Bianchi I cosmologies with R^n-gravity
• Density Perturbations,Gravity Waves and the Cosmic Microwave Background
• Evolution of LMXBs under Different Magnetic Braking Prescriptions
• Dynamical systems analysis of anisotropic cosmologies in $R^n$-gravity
• On the formation of PSR J1640+2224: a neutron star born massive?
• Anisotropic cosmological solutions in $R+R^2$ gravity
• Analytic solution for matter density perturbations in a class of viable cosmological f(R) models
• Solutions for f(R) gravity coupled with electromagnetic field
• Cosmological Electromagnetic Fields due to Gravitational Wave Perturbations
• Kinematics and Dynamics of $f(R)$ Theories of Gravity
• Scalar perturbations in $f(T)$ gravity using the $1+3$ covariant approach
• The Scattering of Dirac Spinors in Rotating Spheroids
• Constraining Primordial Magnetic Fields with Future Cosmic Shear Surveys
• Density growth in Kantowski-Sachs cosmologies with cosmological constant
• Magnetic Brane-worlds
• Primordial Magnetic Fields from Dark Energy
• Linear growth of matter density perturbations in f(R,G) theories
• $f(R)$ gravity: scalar perturbations in the late Universe
• Partially locally rotationally symmetric perfect fluid cosmologies
• Cosmological perturbations in $F(R)$ gravity
• Cosmological perturbations in $k$-essence model
• Cosmological dynamics of magnetic Bianchi I in viable $f(R)$ models of gravity
• Perturbation Growth in Anisotropic Cosmologies
• Linear perturbations of an anisotropic Bianchi I model with a uniform magnetic field
• Covariant gauge invariant theory of Scalar Perturbations in $f(R)$-gravity: a brief review
• Qualitative Properties of Magnetic Fields in Scalar Field Cosmology
• Small-scale CMB anisotropies induced by the primordial magnetic fields
• Linear perturbations in a universe with a cosmological constant
• The reconstruction of dark energy with Ridge Regression Approach