Non-singular modified gravity: the unification of the inflation, dark energy and dark mater

Abstract

Using the fluid representation, we formulate the conditions for the appearance of all four types finite-time future singularity in modified gravity in accelerating FRW universe. It stressed that number of standard quintessence/phantom DE theories (including scalar, fluid, DBI ones, etc) brings the accelerating cosmology to future singularity precisely in the same way as singular modified gravity DE. The viable non-singular modified gravity unifying the early-time inflation with late-time acceleration is considered. It is shown that adding such non-singular theory to another realistic singular modified gravity which has the accelerating solution with future singularity may cure the singularity of resulting combined model. This universal scenario may be naturally applied to standard singular DE models as well as to inflationary theories with initial singularity. This suggests the additional fundamental reasoning for modification of General Relativity.

Conference Proceedings, LaTeX 6 pags

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Cited by in corpus (18)

• 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
• Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion
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• A Viable model for modified gravity
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• Gravitational Collapse of an Inhomogeneous Fluid in Rastall Theory
• A cyclic cosmological model based on the f(ρ) modified theory of gravity