Universe acceleration in modified gravities: $F(R)$ and $F(T)$ cases

Abstract

We review recent progress on cosmological issues and theoretical properties of modified gravity theories. In particular, we explicitly explore the conformal transformation, the Starobinsky inflation, and a unified scenario of inflation and late time acceleration in $F(R)$ gravity and $F(T)$ gravity (extended teleparallel gravity). Furthermore, we examine neutron stars and the hyperon problem in $F(R)$ gravity. Moreover, for loop quantum cosmology (LQC), the natures of finite-time future singularities in $F(T)$ gravity are presented. In addition, we investigate $F(T)$ gravity theories from the Kaluza-Klein (KK) and Randall-Sundrum (RS) theories.

14 pages, no figure, contribution to KMI International Symposium 2013 on "Quest for the Origin of Particles and the Universe", 11-13 Dec. 2013, KMI, Nagoya University

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Cited by in corpus (18)

• Causes of Irregular Energy Density in $f(R,T)$ Gravity
• The Influence of Modification of Gravity on the Dynamics of Radiating Spherical Fluids
• Anisotropic Compact Stars in $f(G)$ Gravity
• Bouncing cosmology with future singularity from modified gravity
• Constraining $f(R)$ gravity by the Large Scale Structure
• Pilgrim Dark Energy in $f(T,T_G)$ cosmology
• New Modified Mimetic Gravity
• Tolman-Oppenheimer-Volkoff equations in non-local $f(R)$ gravity
• Matter Conditions for Regular Black Holes in $\mathbf{f}(\mathbf{T})$ Gravity
• Tolman-Oppenheimer-Volkoff Equations in Modified Gauss-Bonnet Gravity
• Deformed Matter Bounce with Dark Energy Epoch
• Energy Conditions in Higher Derivative $f(R,\square R,T)$ Gravity
• Late-time cosmological evolution of a general class of f(R, T) gravity with minimal curvature-matter coupling
• Variational Problem and Bigravity Nature of Modified Teleparallel Theories
• Can Holographic dark energy increase the mass of the wormhole?
• Cosmological Issues in $F(T)$ Gravity Theory
• Inflationary universe in a conformally-invariant two scalar-field theory with an $R^2$ term
• Inflationary universe in fluid description