Kavli Affiliate: Lijing Shao
| First 5 Authors: Amin Rezaei Akbarieh, Sobhan Kazempour, Lijing Shao, ,
| Summary:
As massive gravity and its extensions offer physically well-defined
gravitational theories with a nonzero graviton mass, we present a new extension
of the de Rham-Gabadadze-Tolley (dRGT)massive gravity, which is tachyonic
massive gravity theory. We firstly introduce the new extension of the dRGT
massive gravity, constructed by adding a tachyonic term. We then find the
cosmological background equations, and present the analysis of
self-accelerating solutions. We examine the tensor perturbations to calculate
the dispersion relation of gravitational waves (GWs). In a special case, we
consider a constant tachyon potential for the tachyon field, and calculate the
equations of motion and self-accelerating solutions. Finally, we investigate
the background perturbations, which include tensor, vector, and scalar
perturbations in this case. We calculate the dispersion relation of GWs in the
FLRW cosmology in a tachyonic massive gravity theory. These analyses provide
potential inputs to future applications in cosmology and GWs propagation.
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