Reconstructing modified gravity with holographic vacuum energy density
arXiv:1811.08986 · doi:10.1142/S0218271819500524
Abstract
A reconstruction of modified gravity is proposed by establishing a correspondence between the effective density of the modified gravity and the holographic density. The non-homogeneous term in the modified Friedmann equation, generated by the vacuum (holographic) energy density, lead to reconstructed models that contain explicitly, as part of the solution, the Einstein-Hilbert term. It was shown that the CDM-type cosmic histories allow the general relativity Lagrangian with cosmological constant as a particular reconstructed solution. The Starobinsky term appears in some reconstructed solutions, and an approximate reconstruction of the Chaplygin gas cosmology was performed in terms of elementary functions of curvature.
24 pages, to appear in IJMPD
References in corpus (31)
- Dynamics of dark energy
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
- Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
- Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
- Disappearing cosmological constant in f(R) gravity
- Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
- Class of viable modified gravities describing inflation and the onset of accelerated expansion
- Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
- Conditions for the cosmological viability of f(R) dark energy models
- Are f(R) dark energy models cosmologically viable ?
- A Holographic Dark Energy Model from Ricci Scalar Curvature
- Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
- Infrared cut-off proposal for the Holographic density
- Future of the universe in modified gravitational theories: Approaching to the finite-time future singularity
- Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
- The Cosmology of f(R) Gravity in the Metric Variational Approach
- f(R) Gravity and Chameleon Theories
- Limit to General Relativity in f(R) theories of gravity
- New infrared cut-off for the holographic scalar fields models of dark energy
- Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
- Modified gravity models of dark energy
- Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion
- A f(R) gravity without cosmological constant
- Spherical symmetry in -gravity
- Newton law corrections and instabilities in gravity with the effective cosmological constant epoch
- Viability of f(R) Theories with Additional Powers of Curvature
- Modified gravity as an alternative for Lambda-CDM cosmology
- Further Exact Cosmological Solutions to Higher-Order Gravity Theories
- Power-law cosmic expansion in f(R) gravity models
- Crossing of the w=-1 barrier in viscous modified gravity