Magnetized strange quark matter in $f(R,T)$ gravity with bilinear and special form of time varying deceleration parameter

Abstract

In this paper, we have studied homogeneous and anisotropic, locally rotationally symmetric (LRS) Bianchi type-I universe model with magnetized strange quark matter (MSQM) distribution and cosmological constant $\Lambda$ in $f(R,T)$ gravity. The exact solutions of the field equations are obtained under bilinear and special form of time varying deceleration parameter (DP). Firstly we have considered two specific form of bilinear DP with a single parameter of the form: $q=\frac{\alpha (1-t)}{1+t}$ and $q=-\frac{\alpha t}{1+t}$, which leads to a function with constant or linear nature with respect to the choice of constant $\alpha$. Second one is the special form of the DP as $q=-1+\frac{\beta }{1+a^{\beta }}$. From obtained results, we could say that in the early universe the magnetic flux has more effects and it gradually reducing its effects in later. For $t\to \infty$, we get $p\to -B_c$ and $\rho \to B_c$. So the strange quark matter along with magnetic epoch gives an idea of accelerated expansion of the universe as per the observations of the type Ia Supernovae.

arXiv comment11 pages, 24 figures, to appear in New Astronomy

References in corpus (38)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• Measurements of the Cosmological Parameters Omega and Lambda from the First 7 Supernovae at z >= 0.35
• NJL-model analysis of dense quark matter
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Measuring the Baryon Acoustic Oscillation scale using the SDSS and 2dFGRS
• Supernova Limits on the Cosmic Equation of State
• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• The WiggleZ Dark Energy Survey: Improved Distance Measurements to z = 1 with Reconstruction of the Baryonic Acoustic Feature
• Stellar equilibrium configurations of compact stars in $f(R,T)$ gravity
• Interacting quark matter equation of state for compact stars
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• Cosmology with inhomogeneous magnetic fields
• Compact stars in $f(R,T)$ gravity
• Quark Matter in Strong Magnetic Field
• Anisotropic Hydrodynamics, Bulk Viscosities and R-Modes of Strange Quark Stars with Strong Magnetic Fields
• Restricting quark matter models by gravitational wave observation
• A Gauge-invariant Analysis of Magnetic Fields in General Relativistic Cosmology
• Cosmological viable Mimetic $f(R)$ and $f(R,T)$ theories via Noether symmetry
• Anisotropic cosmological models in $f(R,T)$ gravity with variable deceleration parameter
• Magnetized strange quark matter and magnetized strange quark stars
• Generalized second law of thermodynamics in f(R,T) theory of gravity
• A transition from a decelerated to an accelerated phase of the universe expansion from the simplest non-trivial polynomial function of T in the f(R,T) formalism
• Magnetized strange quark model with Big Rip singularity in $f(R,T)$ gravity
• Quark magnetar in three-flavor Nambu--Jona-Lasinio model with vector interaction and magnetized gluon potential
• Anisotropic pressure in strange quark matter under the presence of a strong magnetic field
• Magnetized strange quark matter in a quasiparticle description
• Viscous Generalized Chaplygin Gas Interacting with f(R,T) gravity
• Magnetized quark matter with a magnetic-field dependent coupling
• Quark stars and quantum-magnetically induced collapse

Cited by in corpus (8)

• $f(Q,T)$ gravity
• Palatini formulation of $f(R,T)$ gravity theory, and its cosmological implications
• Dark energy models from a parametrization of $H$: A comprehensive analysis and observational constraints
• FLRW cosmological models with quark and strange quark matters in f(R,T) gravity
• An exponential shape function for wormholes in modified gravity
• Compatibility between the scalar field models of tachyon, $k$-essence and quintessence in $f(R,T)$ gravity
• Mixed fluid cosmological model in $f(R,T)$ gravity
• Accelerating Kaluza-Klein Universe in Modified Theory of Gravitation