Modified F(R) Hořava–Lifshitz gravity: a way to accelerating FRW cosmology

Classical and Quantum Gravity (Impact Factor: 3.1). 08/2010; 27(18):185021. DOI: 10.1088/0264-9381/27/18/185021
Source: arXiv

ABSTRACT We propose a general approach for the construction of modified gravity which is invariant under foliation-preserving diffeomorphisms. Special attention is paid to the formulation of a modified F(R) Hořava–Lifshitz gravity (FRHL), whose Hamiltonian structure is studied. It is demonstrated that the spatially flat FRW equations of FRHL are consistent with the constraint equations. The analysis of de Sitter solutions for several versions of FRHL indicates that the unification of the early-time inflation with the late-time acceleration is possible. It is shown that a special choice of parameters for FRHL leads to the same spatially flat FRW equations as in the case of the traditional F(R)-gravity. Finally, an essentially most general modified Hořava–Lifshitz gravity is proposed, motivated by its fully diffeomorphism-invariant counterpart, with the restriction that the action does not contain derivatives higher than the second order with respect to the time coordinate.

  • [Show abstract] [Hide abstract]
    ABSTRACT: Purpose of this paper is to study generalized quantum chromodynamics ghost dark energy (GDE) in the frame work of Horava–Lifshitz cosmology. Considering interacting and non-interacting scenario of GDE with dark matter in a spatially non-flat universe, we investigate the cosmological implications of this model in detail. We obtain equation of state parameter, deceleration parameter and the evolution of dark energy density to explain the expansion of the universe. Also, we show that the results we calculate have a good compatibility with previous work and restore it in limiting case. Further, we investigate validity of generalized second law of thermodynamics in this scenario. Finally, we find out a cosmological application of our work by evaluating a relation for the equation of state of dark energy for law redshifts.
    03/2015; 9(1). DOI:10.1007/s40094-014-0153-5
  • Source
    [Show abstract] [Hide abstract]
    ABSTRACT: In this paper, we study the new holographic dark energy model in the framework of modified f (R) Horava- Lifshitz Gravity. We apply correspondence scheme to construct model the in underlying scenario using power-law form of scale factor. To explore accelerated expansion of the universe, some well-known cosmological parameters (equation of state parameter and squared speed of sound) and cosmological planes (ωΛ–ω � Λ and statefinder) are discussed for reconstructed model. It is interesting to conclude that these parameters represent phantom behavior of the universe with stable configuration. also, the cosmological planes show compatible results with recent observations for accelerated expansion of the universe.
    Astrophysics and Space Science 09/2014; 353(1). DOI:10.1007/s10509-014-2010-z · 2.40 Impact Factor
  • [Show abstract] [Hide abstract]
    ABSTRACT: Introducing a new potential, we deduce a general Lagrangian for Dirac-Born-Infeld (DBI) inflation, in which the determinant of the induced metric naturally includes the kinetic energy and the potential energy. In particular, the potential energy and kinetic energy can convert into each other at any same order, which is in agreement with the limit of classical physics. We also present a general sound speed in the evolutions of the universe, and the exact expressions of energy-momentum tensor, pressure and density. Furthermore, from the results we obtain the new equation of states. The analytic form of the action that is consistent with data turns out to be surprisingly simple and easy to categorize. Finally, we examine properties of the dark energy and introduce a novel mechanism for realizing either quintessence or phantom dark energy dominated phases within a string theoretical context.
    Entropy 12/2012; 7(7). DOI:10.3390/e14071203 · 1.56 Impact Factor

Preview (2 Sources)

Available from