The Statefinder hierarchy: An extended null diagnostic for concordance cosmology

Details The Statefinder hierarchy: An extended null diagnostic for concordance cosmology The Statefinder hierarchy: An extended null diagnostic for concordance cosmology

2011-01-18

arxiv.org/abs/1101.3436v1

Phys.Rev.D83:043501,2011

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

6 pages, 6 figures; to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.83.043501

We show how higher derivatives of the expansion factor can be developed into a null diagnostic for concordance cosmology (LCDM). It is well known that the Statefinder -- the third derivative of the expansion factor written in dimensionless form, a^{(3)}/aH^3, equals unity for LCDM. We generalize this result to higher derivatives of the expansion factor and demonstrate that the hierarchy, a^{(n)}/aH^n, can be converted to a form that stays pegged at unity in concordance cosmology. This remarkable property of the Statefinder hierarchy enables it to be used as an extended null diagnostic for the cosmological constant. The Statefinder hierarchy combined with the growth rate of matter perturbations defines a composite null diagnostic which can distinguish evolving dark energy from LCDM.

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