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Preprint

Cosmological Perturbations in the Teleparallel analog of Horndeski gravity

Bobomurat AhmedovInstitute of Space Sciences and Astronomy , University of Malta , Malta , MSD 2080Konstantinos F. DialektopoulosNational University of Uzbekistan , Tashkent 100174 , UzbekistanJackson Levi SaidAbdurakhmon NosirovNew Uzbekistan University , Mustaqillik ave. 54 , 100007 Tashkent , Uzbekistan andOdil YunusovDepartment of Physics , University of Malta , MaltaZinovia OikonomopoulouInstitute of Space Sciences and Astronomy , University of Malta , Malta , MSD 2080
2023en
ABI

Annotatsiya

In this work we study the cosmological perturbations in Bahamonde-Dialektopoulos-Levi Said (BDLS) theory, i.e. the teleparallel analog of Horndeski gravity. In order to understand the evolution of structure in a cosmological model, it is necessary to study its cosmology not only in the background but also perturbatively. Both Horndeski and its teleparallel analog have been analyzed a lot in the literature, but in order to study them quantitatively, we need to know their cosmological perturbations. That is why, we study here the scalar-vector-tensor decomposition of the theory and we also express the so-called alpha parameters in terms of the arbitrary functions of the theory, that designate the deviation from the ΛCDM model. We have explored tensor, vector and scalar perturbation of the action up to second order, which drastically opens up new possibilities on searches in the parameter space of scalar-tensor theories in the context of observations.

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