Gravitational radiation from a particle in circular orbit around a wormhole: the nonrotating case

In this paper, we have generalized Poisson's(1993) calculation for the case of gravitational radiation from a particle in a circular orbit around a black hole to the case of the wormhole. Considering the motion of a test particle around a Schwarzschild like wormhole and using Teukolsky formalism, we have obtained an analytical result of flux at infinity under the assumption of small velocities. Focusing on the 22-mode, we have found a novel 0.5PN order term beyond the quadrupole order, which vanishes in the black hole limit. On the other hand, all higher order terms are getting modified in such a way that they give correct correspondence in the black hole limit. We have further corroborated our results with the numerical investigations, which show that the two waveforms match well when the particle lies far from ISCO. Thus, our work provides one of the first attempts toward the study of the post-Newtonian waveforms involving wormholes (ECOs).