Gravitational radiation from the inspiral of compact binaries based on a Yukawa-type addition to the Newtonian potential

Abstract

In this work, the gravitational radiation emitted from a compact binary system is analyzed in the context of general relativity and f(R) gravity based on linearized theory. Besides the two standard polarizations of gravitational waves, an additional massive scalar mode is present in f(R). At the Newtonian limit, it implies a Yukawa-like addition to the Newtonian potential. This kind of potential interaction has been studied in other scenarios. Here, the quadrupole radiation for the massless polarizations of a binary source in circular motion under such potential is determined. The back-reaction effect due to the emission of gravitational waves is discussed at linear and second order in Υ = 1/λg where λg is the Compton wavelength of the graviton. It is expected that in future measurements, slightly changes in the frequency waveform pattern of those systems may be put better constraints on the space parameters of alternative theories of gravity such as f(R).