Testing gravity against the early time integrated Sachs-Wolfe effect

By Pengjie Zhang. 2005

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A generic prediction of general relativity is that the cosmological linear density growth factor D is scale independent. But in general, modified gravities do not preserve this signature. A scale dependent D can cause time variation in gravitational potential at high redshifts and provides a new cosmological test of gravity, through early time integrated Sachs-Wolfe (ISW) effect-large scale structure (LSS) cross correlation. We demonstrate the power of this test for a class of f(R) gravity, with the form f(R) = {lambda}{sub 1}H{sub 0}{sup 2} exp(-R/{lambda}{sub 2}H{sub 0}{sup 2}). Such f(R) gravity, even with degenerate expansion history to {Lambda}CDM, can produce detectable ISW effect at z {approx}> 3 and l {approx}> 20. Null-detection of such effect would constrain {lambda}{sub 2} to be {lambda}{sub 2} > 1000 at > 95% confidence level. On the other hand, robust detection of ISW-LSS cross correlation at high z will severely challenge general relativity.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/8e1e80484d0fdb3ce2e4c90237d6ca06f7ca80db

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Citations in the corpus

f(R) Theories (2010, background): “Since the law of gravity gets modified on large distances in f (R) models, this leaves several interesting observational signatures such as the modification to the spectra of galaxy clustering [146, 74, 548, 526, 251, 597, 493], CMB [627, 548, 382, 549], and weak lensing [595, 528].”
Modified Gravity and Cosmology (2011, unknown): “(339)-(346) allows one to write [1299, 1219, 1226]”