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Statefinder -- a new geometrical diagnostic of dark energy | | Varun Sahni
; Tarun Deep Saini
; A. A. Starobinsky
; Ujjaini Alam
; | | Date: |
30 Dec 2001 | | Journal: | JETP Lett. 77 (2003) 201-206; Pisma Zh.Eksp.Teor.Fiz. 77 (2003) 249-253 | | Subject: | astro-ph gr-qc hep-ph | | Abstract: | We introduce a new cosmological diagnostic pair $lbrace r,s
brace$ called Statefinder. The Statefinder is dimensionless and, like the Hubble and deceleration parameters $H(z)$ and $q(z)$, is constructed from the scale factor of the Universe and its derivatives only. The parameter $r(z)$ forms the next step in the hierarchy of geometrical cosmological parameters used to study the Universe after $H$ and $q$, while the parameter $s(z)$ is a linear combination of $q$ and $r$ chosen in such a way that it does not depend upon the dark energy density $Omega_X(z)$. The Statefinder pair $lbrace r,s
brace$ is algebraically related to the the dark energy pressure-to-energy ratio $w=p/epsilon$ and its time derivative, and sheds light on the nature of dark energy/quintessence. Its properties allow to usefully differentiate between different forms of dark energy with constant and variable $w$, including a cosmological constant ($w = -1$). The Statefinder pair can be determined to very good accuracy from a SNAP type experiment. | | Source: | arXiv, astro-ph/0201498 | | Services: | Forum | Review | PDF | Favorites | |
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