Gravitational collapse and singularity avoidance of a homogeneous dust fluid on a brane with timelike extra dimension
Fuente:
arXiv
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911229041180672 |
|---|---|
| author | Sengupta, Rikpratik Singha, Chiranjeeb |
| author_facet | Sengupta, Rikpratik Singha, Chiranjeeb |
| contents | We investigate the gravitational collapse of a homogeneous dust cloud in the Shtanov Sahni braneworld model, which incorporates an extra timelike dimension. The interior of the collapsing configuration is modeled by a Friedmann Lemaitre spacetime, while the exterior is described by a Vaidya radiation envelope that eventually settles into a static Reissner Nordstrom (RN) geometry with a positive tidal charge. Although a smooth matching between the interior and the static exterior is precluded by the breakdown of Birkhoff's theorem in the braneworld scenario, we show that as long as braneworld effects remain significant, the brane tension stays finite. Consequently, the scalar curvature remains bounded, thereby preventing the formation of a singularity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_20874 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Gravitational collapse and singularity avoidance of a homogeneous dust fluid on a brane with timelike extra dimension Sengupta, Rikpratik Singha, Chiranjeeb General Relativity and Quantum Cosmology We investigate the gravitational collapse of a homogeneous dust cloud in the Shtanov Sahni braneworld model, which incorporates an extra timelike dimension. The interior of the collapsing configuration is modeled by a Friedmann Lemaitre spacetime, while the exterior is described by a Vaidya radiation envelope that eventually settles into a static Reissner Nordstrom (RN) geometry with a positive tidal charge. Although a smooth matching between the interior and the static exterior is precluded by the breakdown of Birkhoff's theorem in the braneworld scenario, we show that as long as braneworld effects remain significant, the brane tension stays finite. Consequently, the scalar curvature remains bounded, thereby preventing the formation of a singularity. |
| title | Gravitational collapse and singularity avoidance of a homogeneous dust fluid on a brane with timelike extra dimension |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2510.20874 |