Gravitational waves in massive conformal gravity

Abstract

First, we obtain the plane wave solution of the linearized massive conformal gravity field equations. It is shown that the theory has seven physical plane waves. In addition, we investigate the gravitational radiation from binary systems in massive conformal gravity. We find that the theory with large graviton mass can reproduce the orbit of binaries by the emission of gravitational waves.

Ergosphere, Photon Region Structure, and the Shadow of a Rotating Charged Weyl Black Hole

“…The latter has been shown by testing the theory with the quasar APM 08279 + 5255 with the age of (2.1 ± 0.34) × 10 9 years at z = 3.91, indicating that the theory could accommodate the quasar within a 3σ confidence levels [19]. Furthermore, this theory has been applied to the determination of the energy carried by gravitational waves [20][21][22][23].…”

Early universe nucleosynthesis in massive conformal gravity

“…where T μν is given by (18). We can easily see the difference between the two theories by comparing (38) with ( 10) and (11). Just to stay within the scope of this paper, it is worth noting that CG does not pass the early universe nucleosynthesis test [21].…”

“…(34) Taking the trace of (34), and substituting into the trace of (10), whose left hand side is zero due to the field equation (11) and the tracelessness of the Bach tensor (W = g μν W μν = 0), we arrive at…”

“…However, here we will keep ρ Λ so we don't miss any physical details during the calculations. By substituting (34) into (10), and considering (11), we find…”

“…Among so many cosmological models, we chose the MCG model because it fits well with the Type Ia supernovae (SNIa) data without the cosmological constant problem [9]. In addition, the theory is free of the van Dam-Veltman-Zakharov (vDVZ) discontinuity [10], can reproduce the orbit of binaries by the emission of gravitational a e-mail: felfrafar@hotmail.com (corresponding author) waves [11] and is consistent with solar system observations [12]. Furthermore, MCG is a power-counting renormalizable [13,14] and unitary [15] quantum theory of gravity.…”