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.

12 pages, accepted for publication in AHEP

References in corpus (20)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• f(R,T) gravity
• 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
• 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
• Density perturbations in f(R) gravity theories in metric and Palatini formalisms
• The Dipole Magnetic Field and Spin-down Evolutions of The High Braking Index Pulsar PSR J1640-4631
• Evolution of LMXBs under Different Magnetic Braking Prescriptions
• Dynamical systems analysis of anisotropic cosmologies in $R^n$-gravity
• The Scattering of Dirac Spinors in Rotating Spheroids
• Linear growth of matter density perturbations in f(R,G) theories
• Cosmological dynamics of magnetic Bianchi I in viable $f(R)$ models of gravity