Late-times asymptotic equation of state for a class of nonlocal theories of gravity

We investigate the behavior of the asymptotic late-times effective equation of state for a class of nonlocal theories of gravity. These theories modify the Einstein-Hilbert Lagrangian introducing terms containing negative powers of the d’Alembert operator acting on the Ricci scalar. We find that imp...

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Hauptverfasser: Giani, Leonardo (VerfasserIn) , Piattella, Oliver F. (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 4 December 2019
In: Physical review
Year: 2019, Jahrgang: 100, Heft: 12
ISSN:2470-0029
DOI:10.1103/PhysRevD.100.123508
Online-Zugang:Verlag, Volltext: https://doi.org/10.1103/PhysRevD.100.123508
Verlag, Volltext: https://link.aps.org/doi/10.1103/PhysRevD.100.123508
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Verfasserangaben:Leonardo Giani and Oliver F. Piattella

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520 |a We investigate the behavior of the asymptotic late-times effective equation of state for a class of nonlocal theories of gravity. These theories modify the Einstein-Hilbert Lagrangian introducing terms containing negative powers of the d’Alembert operator acting on the Ricci scalar. We find that imposing vanishing initial conditions for the nonlocal content during the radiation-dominated epoch implies the same asymptotic late-times behavior for most of these models. In terms of the effective equation of state of the Universe, we find that asymptotically ωeff→−1, approaching the value given by a cosmological constant. On the other hand, unlike in the case of ΛCDM, the Hubble factor is a monotonic growing function that diverges asymptotically. We argue that this behavior is not a coincidence and discuss under which conditions this is to be expected in these nonlocal models. 
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