2022/01/05 by Amin Rezaei Akbarieh, Sobhan Kazempour, Lijing Shao
Physics and Astronomy · #Astrophysics #Black Holes and Theoretical Physics #Classical mechanics #Cosmology #Cosmology and Gravitation Theories #Friedmann–Lemaître–Robertson–Walker metric #General relativity #Gravitation #Gravitational wave #Graviton #Massive gravity #Mathematical physics #Physics #Pulsars and Gravitational Waves Research #Tachyon #Theoretical physics #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.105.023501
published as Phys. Rev. D 105, 023501 (2022)
openalex publication_date 2022/01/05 · arxiv created 2022/03/02 · arxiv updated 2022/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.