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Equivalence principle on cosmological backgrounds in scalar–tensor theories

Alberte, Lasma·2019·Classical and Quantum Gravity
DOI 10.1088/1361-6382/ab41e5
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Abstract

We study the extent up to which the equivalence principle is obeyed in models of modified gravity and dark energy involving a single scalar degree of freedom. We focus on the effective field theories of dark energy describing the late time acceleration in the presence of ordinary matter species. In their covariant form these coincide with the Horndeski theories on a cosmological background with a slowly varying Hubble rate and a time-dependent scalar field. We show that in the case of an exactly de Sitter universe both the weak and strong equivalence principles hold. This occurs due to the combination of the shift symmetry of the scalar and the time translational invariance of de Sitter space. When generalized to Friedmann–Robertson–Walker cosmologies (FRW) we show that the weak equivalence principle is obeyed for test particles and extended objects in the quasi-static subhorizon limit. We do this by studying the field created by an extended object moving in an FRW background as well as its equation of motion in an external gravitational field. We also estimate the corrections to the geodesic equation of the extended object due to the approximations made.

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Metadata

Authors
Alberte, L.
Venue
Classical and Quantum Gravity
Publisher
IOP Publishing
Published
2019-10-15
Volume
36
Issue
22
Pages
225001
ISSN
  • 0264-9381
  • 1361-6382
DOI
10.1088/1361-6382/ab41e5
Cited by
1
References
3
Licence
Funders
  • H2020 European Research Council (724659 MassiveCosmo ERC-2016-COG)
  • FP7 Ideas: European Research Council (ADG 339140)

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Alberte, L. (2019). Equivalence principle on cosmological backgrounds in scalar–tensor theories. Classical and Quantum Gravity. https://doi.org/10.1088/1361-6382/ab41e5

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