Modified gravity as an alternative for Lambda-CDM cosmology

Abstract

The reconstruction scheme is developed for modified $f(R)$ gravity with realistic matter (dark matter, baryons, radiation). Two versions of such theory are constructed: the first one describes the sequence of radiation and matter domination, decceleration-acceleration transition and acceleration era and the second one is reconstructed from exact Lambda-CDM cosmology. The asymptotic behaviour of first model at late times coincides with the theory containing positive and negative powers of curvature while second model approaches to General Relativity without singularity at zero curvature.

LaTeX file, 9pages, no figure, prepared for Special Issue IRGAC 2006, Barcelona

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• Cosmological reconstruction of realistic modified F(R) gravities
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
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• Cosmological Constraints on f(R) Acceleration Models
• A viability criterion for modified gravity with an extra force
• Crossing of the phantom divide in modified gravity
• Holographic modified gravity
• f(R)-Brane
• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Can f(R) Modified Gravity Theories Mimic a LCDM Cosmology?
• Some aspects of generalized modified gravity models
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• The Cauchy problem of f(R) gravity
• The relation between F(R) gravity and Einstein-conformally invariant Maxwell source
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• Boundary Term in Metric f(R) Gravity: Field Equations in the Metric Formalism
• Geodesic Motion in Schwarzschild Spacetime Surrounded by Quintessence
• Anisotropic cosmological solutions in $R+R^2$ gravity
• FRW Cosmology in $f(Q,T)$ Gravity
• Phantom phase power-law solution in $f(G)$ gravity
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