Gravitational Wave Propagation for The Generalized Proca Theories
Marliana(1,3) , Agustina Widiyani(1,2), Azwar Sutiono(1), Getbogi Hikmawan (1,4) , Agus Suroso(1,4) and Freddy P. Zen(1,4)

(1)Theoretical Physics Laboratory, THEPI Division, Department of Physics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jl. Ganesha 10 Bandung 40132, Indonesia
(2)Department of Physics, Faculty of Science, Institut Teknologi Sumatera, Jl. Terusan Ryacudu, Jati Agung Lampung Selatan 35365, Indonesia
(3)Department of Physics Education, Sekolah Tinggi Keguruan dan Ilmu Pendidikan Surya, Jln Imam Bonjol 88 Tangerang
(4)Indonesia Center for Theoretical and Mathematical Physics (ICTMP), Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jl. Ganesha 10 Bandung 40132, Indonesia

Abstract

In general gravity, a gravitational wave propagates with the speed of light, while in the alternative theories of gravity, propagation speed could deviate from the speed of light due to the modification of gravity. Gravitational waves are influenced by modification gravity during propagation at the cosmological distance. In this paper, we investigate the propagation of a gravitational wave of the generalized Proca theories by considering gravitational wave as the gravitational field propagates in spacetime as a wave perturbing flat spacetime. We show that the arbitrary functions G3, G4, and G5 can be the sources of deviation of the speed of the gravitational wave.

Keywords: gravitational wave, Proca theories, modified gravity

Topic: Theoretical High Energy Physics