On Redshift Dependent Parameterizations of the Growth Index: Current and Future Constraints

Details On Redshift Dependent Parameterizations of the Growth Index: Current and Future Constraints On Redshift Dependent Parameterizations of the Growth Index: Current and Future Constraints

Jan 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aas...21560305d&link_type=abstract

American Astronomical Society, AAS Meeting #215, #603.05; Bulletin of the American Astronomical Society, Vol. 36, p.1126

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The topic of distinguishing between modified gravity and dark energy has gained a lot of interest in the last few years. Among other techniques, the growth index parameter has been shown to be a powerful tool to distinguish between different models of gravity. Here we describe two redshift dependent parameterizations of this parameter: An interpolation parameterization, which interpolates smoothly between a constant value at high redshifts but accounts redshift dependencies at small redshifts; and an exponential parameterization which tends to an asymptotic value for redshifts larger than a given transition redshift. These parameterizations are shown to fit theoretical growth data for ΛCDM to better than 0.004% and 0.015% respectively. We use current data and future simulated data to put constraints on parameters within these parameterizations as well as the constant growth index. We find that current data is unable to constrain any of these parameters very well, allowing both ΛCDM and DGP as acceptable fits of the data. Our simulations with future data shows that future data will be able to put tight enough constraints on parameters in the above two redshift dependent parameterizations to rule out a background model when incorrectly assumed. We find in particular that the slope parameters of these parameterizations can be particularly powerful tools to distinguish between different gravity models.

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