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2016

Diagnostic of Horndeski Theories

Perenon, Louis, Marinoni, Christian, Piazza, Federico

Understand

We study the effects of Horndeski models of dark energy on the observables of the large-scale structure in the late time universe.

A novel classification into {\it Late dark energy}, {\it Early dark energy} and {\it Early modified gravity} scenarios is proposed, according to whether such models predict deviations from the standard paradigm persistent at early time in the matter domination epoch.
We discuss the physical imprints left by each specific class of models on the effective Newton constant $\mu$, the gravitational slip parameter $\eta$, the light deflection parameter $\Sigma$ and the growth function $f\sigma_8$ and demonstrate that a convenient way to dress a complete portrait of the viability of the Horndeski accelerating mechanism is via two, redshift-dependent, diagnostics: the $\mu(z)-\Sigma(z)$ and the $f\sigma_8(z)-\Sigma(z)$ planes.
If future, model-independent, measurements point to either $\Sigma-1<0$ at redshift zero or $\mu-1<0$ with $\Sigma-1>0$ at high redshifts or $\mu-1>0$ with $\Sigma-1<0$ at high redshifts, Horndeski theories are effectively ruled out.

Built on

J. Gleyzes, D. Langlois, F. Piazza, and F. Vernizzi,
Original
1952
Earlier work this paper cites.
S. Tsujikawa,
Original
1961
Earlier work this paper cites.
C. Deffayet, S. Deser, and G. Esposito-Farese,
Original
1967
Earlier work this paper cites.
G. W. Horndeski,
1974
Earlier work this paper cites.
C. Wetterich,
1988
Earlier work this paper cites.
B. Ratra and P. J. E. Peebles,
1988
Earlier work this paper cites.
R. R. Caldwell, R. Dave, and P. J. Steinhardt,
1998
Earlier work this paper cites.
A. Hebecker and C. Wetterich,
2001
Earlier work this paper cites.
M. Doran, J.-M. Schwindt, and C. Wetterich,
2001
Earlier work this paper cites.
R. Bean, S. H. Hansen, and A. Melchiorri,
2001
Earlier work this paper cites.
C. Wetterich,
2002
Earlier work this paper cites.
C. Wetterich,
2004
Earlier work this paper cites.
M. Doran and G. Robbers,
2006
Earlier work this paper cites.
A. Adams, N. Arkani-Hamed, S. Dubovsky, A. Nicolis, and R. Rattazzi,
2006
Earlier work this paper cites.
P. Creminelli, G. D’Amico, J. Norena, and F. Vernizzi,
Original
2009
Earlier work this paper cites.
L. Pogosian, A. Silvestri, K. Koyama, and G.-B. Zhao,
Original
2010
Earlier work this paper cites.
Y.-S. Song, L. Hollenstein, G. Caldera-Cabral, and K. Koyama,
Original
2010
Earlier work this paper cites.
Y.-S. Song, G.-B. Zhao, D. Bacon, K. Koyama, R. C. Nichol, and L. Pogosian,
Original
2011
Earlier work this paper cites.
E. Calabrese, D. Huterer, E. V. Linder, A. Melchiorri, and L. Pagano,
2011
Earlier work this paper cites.
J.-P. Uzan,
Original
2011
Earlier work this paper cites.