Scalar modes of polarization and speed of gravitational waves in $f(R)$ gravity
Fuente:
arXiv
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2024
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866914642155012096 |
|---|---|
| author | Dash, Utkal Keshari Yadav, Bal Krishna Verma, Murli Manohar |
| author_facet | Dash, Utkal Keshari Yadav, Bal Krishna Verma, Murli Manohar |
| contents | We explore the gravitational waves (GWs) within the framework of the $f(R)$ gravity model represented by $f(R)=R^{1+δ}/R^δ_c$ in the weak field approximation. In this scenario, gravitational waves exhibit an additional polarization mode beyond the standard transverse-traceless (TT) tensor modes. We show that the polarization characteristics of these waves are connected to the scalaron mass and the effective potential derived from the function $f(R)$. Furthermore, the study of the speed of gravitational waves ($c_g$) within the Horndeski theory, particularly using the $f(R)$ model, reveals an intriguing feature about the equality of the speed of gravitational waves to that that of electromagnetic waves. This equivalence arises due to the modification introduced in the Ricci scalar within the $f(R)$ model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_07664 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Scalar modes of polarization and speed of gravitational waves in $f(R)$ gravity Dash, Utkal Keshari Yadav, Bal Krishna Verma, Murli Manohar General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics We explore the gravitational waves (GWs) within the framework of the $f(R)$ gravity model represented by $f(R)=R^{1+δ}/R^δ_c$ in the weak field approximation. In this scenario, gravitational waves exhibit an additional polarization mode beyond the standard transverse-traceless (TT) tensor modes. We show that the polarization characteristics of these waves are connected to the scalaron mass and the effective potential derived from the function $f(R)$. Furthermore, the study of the speed of gravitational waves ($c_g$) within the Horndeski theory, particularly using the $f(R)$ model, reveals an intriguing feature about the equality of the speed of gravitational waves to that that of electromagnetic waves. This equivalence arises due to the modification introduced in the Ricci scalar within the $f(R)$ model. |
| title | Scalar modes of polarization and speed of gravitational waves in $f(R)$ gravity |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics |
| url | https://arxiv.org/abs/2401.07664 |