Crossing of Phantom Divide in $F(R)$ Gravity

Abstract

An explicit model of $F(R)$ gravity with realizing a crossing of the phantom divide is reconstructed. In particular, it is shown that the Big Rip singularity may appear in the reconstructed model of $F(R)$ gravity. Such a Big Rip singularity could be avoided by adding $R^2$ term or non-singular viable $F(R)$ theory to the model because phantom behavior becomes transient.

9 pages, 1 figure, to be published in the proceedings of the International Workshop on Dark Matter, Dark Energy and Matter-antimatter Asymmetry in Special Issue of Modern Physics Letters A, Department of Physics, National Tsing Hua University, Hsinchu, Taiwan, 20th - 21st November, 2009

References in corpus (29)

• 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
• Dynamics of dark energy
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• The Cosmological Constant and Dark Energy
• f(R) Theories Of Gravity
• Cosmological Constant - the Weight of the Vacuum
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Modified gravity and its reconstruction from the universe expansion history
• Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday
• Phantom crossing, equation-of-state singularities, and local gravity constraints in f(R) models
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Crossing of the phantom divide in modified gravity
• Thermodynamics in $F(R)$ gravity with phantom crossing
• Dark energy, inflation and dark matter from modified F(R) gravity
• The dark side of gravity: Modified theories of gravity
• Constraints on a variable dark energy model with recent observations
• Can F(R)-gravity be a viable model: the universal unification scenario for inflation, dark energy and dark matter
• Non-singular modified gravity: the unification of the inflation, dark energy and dark mater
• Oscillating phantom in $F(R)$ gravity
• Behavior of $F(R)$ gravity around a crossing of the phantom divide

Cited by in corpus (15)

• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Dark Energy
• Cosmological evolution in exponential gravity
• Large Scale Structure Constraints for a Class of f(R) Theories of Gravity
• Theoretical and observational constraints of viable f(R) theories of gravity
• FRW Cosmology in $f(Q,T)$ Gravity
• Generic feature of future crossing of phantom divide in viable $f(R)$ gravity models
• An Exponential F(R) Dark Energy Model
• Cylindrically Symmetric Solutions in $f(R,T)$ Gravity
• Bianchi Type $I$ Cosmology in $f(R,T)$ Gravity
• Cosmological evolution, future singularities, Little Rip and Pseudo-Rip in viable f(R) theories and their scalar-tensor counterpart
• Gravitational Dust Collapse in $f(R)$ Gravity
• Exploring Plane Symmetric Solutions in $f(R)$ Gravity
• Parametrizing the transition to the phantom epoch with Supernovae Ia and Standard Rulers
• Cosmological Issues in $F(T)$ Gravity Theory