Static and spherically symmetric vacuum spacetimes with non-expanding principal null directions in $f(R)$ gravity
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , , |
|---|---|
| Format: | Preprint |
| Publié: |
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866913435198947328 |
|---|---|
| author | Guilabert, Alberto Calzada, Pelayo V. Bargueño, Pedro Miret-Artés, Salvador |
| author_facet | Guilabert, Alberto Calzada, Pelayo V. Bargueño, Pedro Miret-Artés, Salvador |
| contents | In this work we characterize all the static and spherically symmetric vacuum solutions in $f(R)$ gravity when the principal null directions of the Weyl tensor are non-expanding. In contrast to General Relativity, we show that the Nariai spacetime is not the only solution of this type when general $f(R)$ theories are considered. In particular, we find four different solutions for the non-constant Ricci scalar case, all of them corresponding to the same theory, given by $f(R) = r_0^{-1}\left\lvert R-3/r_0^2\right\rvert^{1/2}$, where $r_0$ is a non-null constant. Finally, we briefly present some geometric properties of these solutions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_13262 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Static and spherically symmetric vacuum spacetimes with non-expanding principal null directions in $f(R)$ gravity Guilabert, Alberto Calzada, Pelayo V. Bargueño, Pedro Miret-Artés, Salvador General Relativity and Quantum Cosmology In this work we characterize all the static and spherically symmetric vacuum solutions in $f(R)$ gravity when the principal null directions of the Weyl tensor are non-expanding. In contrast to General Relativity, we show that the Nariai spacetime is not the only solution of this type when general $f(R)$ theories are considered. In particular, we find four different solutions for the non-constant Ricci scalar case, all of them corresponding to the same theory, given by $f(R) = r_0^{-1}\left\lvert R-3/r_0^2\right\rvert^{1/2}$, where $r_0$ is a non-null constant. Finally, we briefly present some geometric properties of these solutions. |
| title | Static and spherically symmetric vacuum spacetimes with non-expanding principal null directions in $f(R)$ gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2407.13262 |