Reconstructing the Distortion Function for Nonlocal Cosmology

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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17 pages, 1 figure, dedicated to Stanley Deser on the occasion of his 78th birthday, revised version for publication in JCAP

Scientific paper

10.1088/1475-7516/2009/08/023

We consider the cosmology of modified gravity models in which Newton's constant is distorted by a function of the inverse d'Alembertian acting on the Ricci scalar. We derive a technique for choosing the distortion function so as to fit an arbitrary expansion history. This technique is applied numerically to the case of LambdaCDM cosmology, and the result agrees well with a simple hyperbolic tangent.

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