Anisotropic Fluid and Bianchi Type III Model in f(R) Gravity

Abstract

This paper is devoted to study the Bianchi type III model in the presence of anisotropic fluid in f(R) gravity. Exponential and power-law volumetric expansions are used to obtain exact solutions of the field equations. We discuss the physical behavior of the solutions and anisotropy behavior of the fluid, the expansion parameter and the model in future evolution of the universe.

18 pages, accepted for publication in Phys. Lett. B

References in corpus (62)

• 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
• Dynamics of dark energy
• The Cosmological Constant and Dark Energy
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Cosmological Constant - the Weight of the Vacuum
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• The Case for a Positive Cosmological Lambda-term
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Cosmological Results from High-z Supernovae
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Curvature Quintessence
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Angular Power Spectrum
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Can modified gravity explain accelerated cosmic expansion?
• Asymmetries in the CMB anisotropy field
• 1/R gravity and Scalar-Tensor Gravity
• The significance of the largest scale CMB fluctuations in WMAP
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Cosmological Dynamics of Phantom Field
• Is there Supernova Evidence for Dark Energy Metamorphosis ?
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• f(R) Gravity and scalar-tensor theory
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Dark Energy Anisotropic Stress and Large Scale Structure Formation
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday
• Modified gravity with arbitrary coupling between matter and geometry
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• Evidence of vorticity and shear at large angular scales in the WMAP data: a violation of cosmological isotropy?
• Modified non-local-F(R) gravity as the key for the inflation and dark energy
• Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models
• The dS/CFT Correspondence and the Big Smash
• Cosmological implications of the MAXIMA-I high resolution Cosmic Microwave Background anisotropy measurement
• Matter instability in modified gravity
• A Singularity Problem with f(R) Dark Energy
• Latest Supernova data in the framework of Generalized Chaplygin Gas model
• Cosmic Microwave Background Quadrupole and Ellipsoidal Universe
• Bianchi type III models with anisotropic dark energy
• Ellipsoidal Universe Can Solve The CMB Quadrupole Problem
• Static spherically symmetric perfect fluid solutions in $f(R)$ theories of gravity
• Cylindrical solutions in metric f(R) gravity
• The nearly Newtonian regime in Non-Linear Theories of Gravity
• Anisotropic Cosmological Constant and the CMB Quadrupole Anomaly
• Exact Solutions of Bianchi Types $I$ and $V$ Spacetimes in $f(R)$ Theory of Gravity
• On the non-minimal gravitational coupling to matter
• On the Newtonian Limit in Gravity Models with Inverse Powers of R
• Unification of inflation and cosmic acceleration in the Palatini formalism
• Curvature scalar instability in f(R) gravity
• Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters
• Bianchi Type VII_h Models and the WMAP 3-year Data
• A note on constant curvature solutions in cylindrically symmetric metric $f(R)$ Gravity
• Plane Symmetric Solutions in f(R) Gravity
• Fast and Efficient Template Fitting of Deterministic Anisotropic Cosmological Models Applied to WMAP Data
• Latest supernovae constraints on f(R) cosmologies
• Effects of Electromagnetic Field on the Dynamics of Bianchi type $V{I}_0$ Universe with Anisotropic Dark Energy
• Spherically symmetric vacuum solutions of modified gravity theory in higher dimensions
• Energy Distribution in f(R) Gravity
• Implications of non-analytical f(R) gravity at Solar-System scales

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• Non-vacuum Solutions of Bianchi Type VI_0 Universe in f(R) Gravity
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• Late time Acceleration and Role of Skewness in Anisotropic models
• Higher Dimensional Inhomogeneous Perfect Fluid Collapse in \emph{f(R)} Gravity
• Energy Conditions in Higher Derivative $f(R,\square R,T)$ Gravity
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