Kavli Affiliate: Lijing Shao
| First 5 Authors: Sobhan Kazempour, Amin Rezaei Akbarieh, Hossein Motavalli, Lijing Shao,
| Summary:
We introduce the cosmological analysis of the Dirac-Born-Infeld dRGT massive
gravity theory which is a new extension of de Rham-Gabadadze-Tolley (dRGT)
massive gravity. In this theory, we consider the Dirac-Born-Infeld (DBI) scalar
field which is coupled to the graviton field. Moreover, we perform the
cosmological background equations, and we demonstrate the self-accelerating
background solutions. We show that the theory consists of self-accelerating
solutions with an effective cosmological constant. In the following, we exhibit
tensor perturbations analyses and achieve the dispersion relation of
gravitational waves. We analyze the propagation of gravitational perturbation
in the Friedmann-Lema^itre-Robertson-Walker cosmology in the DBI dRGT massive
gravity. Finally, we present the vector and scalar perturbations to show the
stability conditions of the theory.
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