### 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 |
---|---|

Article number | 1850004 |

Journal | International Journal of Modern Physics D |

Volume | 27 |

Issue number | 2 |

DOIs | |

Publication status | Published - Jan 1 2018 |

### Fingerprint

### Keywords

- cosmological constant
- Gravitational waves
- quadrupole signal

### ASJC Scopus subject areas

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

### Cite this

**The effect of the cosmological constant on a quadrupole signal in the linearized approximation.** / Somlai, László Ábel; Vasúth, M.

Research output: Contribution to journal › Article

*International Journal of Modern Physics D*, vol. 27, no. 2, 1850004. https://doi.org/10.1142/S0218271818500049

}

TY - JOUR

T1 - The effect of the cosmological constant on a quadrupole signal in the linearized approximation

AU - Somlai, László Ábel

AU - Vasúth, M.

PY - 2018/1/1

Y1 - 2018/1/1

N2 - 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.

AB - 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.

KW - cosmological constant

KW - Gravitational waves

KW - quadrupole signal

UR - http://www.scopus.com/inward/record.url?scp=85031428099&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85031428099&partnerID=8YFLogxK

U2 - 10.1142/S0218271818500049

DO - 10.1142/S0218271818500049

M3 - Article

AN - SCOPUS:85031428099

VL - 27

JO - International Journal of Modern Physics D

JF - International Journal of Modern Physics D

SN - 0218-2718

IS - 2

M1 - 1850004

ER -