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arXiv · 1811.08986

Reconstructing modified gravity with holographic vacuum energy density

L. N. Granda
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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 $\Lambda$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.

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L. N. Granda. 2018-11-22. Reconstructing modified gravity with holographic vacuum energy density. https://doi.org/10.1142/s0218271819500524

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