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2016

Real-time cosmography with redshift derivatives

Martins, C. J. A. P., Martinelli, M., Calabrese, E. et al.

Understand

The drift in the redshift of objects passively following the cosmological expansion has long been recognized as a key model-independent probe of cosmology.

Here, we study the cosmological relevance of measurements of time or redshift derivatives of this drift, arguing that the combination of first and second redshift derivatives is a powerful test of the $\Lambda$CDM cosmological model.
In particular, the latter can be obtained numerically from a set of measurements of the drift at different redshifts.
We show that, in the low-redshift limit, a measurement of the derivative of the drift can provide a constraint on the jerk parameter, which is $j=1$ for flat $\Lambda$CDM, while generically $j\neq1$ for other models.

Built on

A. Sandage, Astrophys. J. 136
1962
Earlier work this paper cites.
K. Lake, Astrophys. J. 247
1981
Earlier work this paper cites.
A. Loeb, Astrophys. J. 499
1998
Earlier work this paper cites.
M. Chevallier and D. Polarski, Int. J. Mod. Phys. D10
2001
Earlier work this paper cites.
V. Sahni, T. D. Saini, A. A. Starobinsky, and U. Alam, JETP Lett. 77
2003
Earlier work this paper cites.
E. V. Linder, Phys. Rev. Lett. 90
2003
Earlier work this paper cites.
M. Visser, Class. Quant. Grav. 21
2004
Earlier work this paper cites.
M. Visser, General relativity and gravitation. Proceedings, 4th Australasian Conference, ACGRG4, Melbourne, Australia, January 7-10, 2004 , Gen. Rel. Grav. 37
2005
Earlier work this paper cites.
E. J. Copeland, M. Sami, and S. Tsujikawa, Int. J. Mod. Phys. D15
2006
Earlier work this paper cites.
P.-S. Corasaniti, D. Huterer, and A. Melchiorri, Phys. Rev. D75
2007
Earlier work this paper cites.
D. Rapetti, S. W. Allen, M. A. Amin, and R. D. Blandford, Mon. Not. Roy. Astron. Soc. 375
2007
Earlier work this paper cites.