### Abstract

In this study the effects of a nonzero cosmological constant Λ on a quadrupole gravitational wave (GW) signal are analyzed. The linearized approximation of general relativity was used, so the perturbed metric can be written as the sum of hGW GWs and hΛ background term, originated from Λ. The ΛhGW term was also included in this study. To derive physically relevant consequences of 0 comoving coordinates are used. In these coordinates, the equations of motion (EoMs) are not self-consistent so the result of the linearized theory has to be transformed to the FRW frame. The luminosity distance and the same order of the magnitude of frequency in accordance with the detected GWs were used to demonstrate the effects of the cosmological constant.

Original language | English |
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Article number | 1850004 |

Journal | International Journal of Modern Physics D |

Volume | 27 |

Issue number | 2 |

DOIs | |

Publication status | Published - Jan 1 2018 |

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### Keywords

- Gravitational waves
- cosmological constant
- quadrupole signal

### ASJC Scopus subject areas

- Mathematical Physics
- Astronomy and Astrophysics
- Space and Planetary Science