Journal
PHYSICAL REVIEW D
Volume 97, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.97.043519
Keywords
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Funding
- NWO
- Dutch Ministry of Education, Culture and Science (OCW)
- D-ITP consortium
- OCW
- STFC [ST/N000668/1]
- European Research Council (ERC) under the European Union's Horizon research and innovation programme [646702]
- Natural Sciences and Engineering Research Council of Canada
- U.S. Department of Energy [DE-FG02-13ER41958]
- STFC [ST/J005428/1] Funding Source: UKRI
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Phenomenological functions Sigma and mu, also known as G(light)/G and G(matter)/G, are commonly used to parametrize modifications of the growth of large-scale structure in alternative theories of gravity. We study the values these functions can take in Horndeski theories, i.e., the class of scalar-tensor theories with second order equations of motion. We restrict our attention to models that are in broad agreement with tests of gravity and the observed cosmic expansion history. In particular, we require the speed of gravity to be equal to the speed of light today, as required by the recent detection of gravitational waves and electromagnetic emission from a binary neutron star merger. We examine the correlations between the values of Sigma and mu analytically within the quasistatic approximation and numerically by sampling the space of allowed solutions. We confirm that the conjecture made in [L. Pogosian and A. Silvestri, Phys. Rev. D 94, 104014 (2016)], that (Sigma - 1) (mu - 1) >= 0 in viable Horndeski theories, holds very well. Along with that, we check the validity of the quasistatic approximation within different corners of Horndeski theory. Our results show that, even with the tight bound on the present-day speed of gravitational waves, there is room within Horndeski theories for nontrivial signatures of modified gravity at the level of linear perturbations.
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