Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2308.13012 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912314583678976 |
|---|---|
| author | Escobedo, Ricardo Moreno, Claudia Hernández-Jiménez, Rafael |
| author_facet | Escobedo, Ricardo Moreno, Claudia Hernández-Jiménez, Rafael |
| contents | We study the Post-Newtonian approach implemented to the Einstein-Hilbert action adding the cosmological constant $Λ$ at 1PN order. We consider very small values of $Λ$ to derive the Lagrangian of a two body compact system at the center of mass frame at 1PN. Furthermore, the phase function $ϕ(t)$ is obtained from the balance equation and the two polarizations $h_{+}$ and $h_{\times}$ are also calculated. We observe changes due to $Λ$ only at very low frequencies and we notice that it plays the role of "stretch" the spacetime such that both amplitudes become smaller; however, given its nearly negligible value, $Λ$ has no relevance at higher frequencies whatsoever. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_13012 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Post-Newtonian Gravitational Waves with cosmological constant $Λ$ from the Einstein-Hilbert theory Escobedo, Ricardo Moreno, Claudia Hernández-Jiménez, Rafael General Relativity and Quantum Cosmology We study the Post-Newtonian approach implemented to the Einstein-Hilbert action adding the cosmological constant $Λ$ at 1PN order. We consider very small values of $Λ$ to derive the Lagrangian of a two body compact system at the center of mass frame at 1PN. Furthermore, the phase function $ϕ(t)$ is obtained from the balance equation and the two polarizations $h_{+}$ and $h_{\times}$ are also calculated. We observe changes due to $Λ$ only at very low frequencies and we notice that it plays the role of "stretch" the spacetime such that both amplitudes become smaller; however, given its nearly negligible value, $Λ$ has no relevance at higher frequencies whatsoever. |
| title | Post-Newtonian Gravitational Waves with cosmological constant $Λ$ from the Einstein-Hilbert theory |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2308.13012 |