Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.18202 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917029351522304 |
|---|---|
| author | Shiromizu, Tetsuya Izumi, Keisuke Yoshino, Hirotaka Tomikawa, Yoshimune |
| author_facet | Shiromizu, Tetsuya Izumi, Keisuke Yoshino, Hirotaka Tomikawa, Yoshimune |
| contents | We discuss the local and quasilocal properties of the loosely trapped surface (LTS) and the attractive gravity probe surface (AGPS), which have been proposed to characterize the strength of gravity in both strong and weak gravity regions using the mean curvature. In terms of local mass defined in a region surrounded by the two AGPSs and of Geroch quasilocal mass, we present several inequalities concerning their size and area, which are of particular interest. We also propose the improved concepts of the LTS/AGPS, which we call LTS Plus (LTS+) and AGPS Plus (AGPS$+$), defined in terms of expansions of outgoing and ingoing null geodesic congruences on those surfaces. Then, the similar inequalities are proven in terms of appropriately defined local mass and the Hawking quasilocal mass. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_18202 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Quasilocal inequalities for attractive gravity probe surface Shiromizu, Tetsuya Izumi, Keisuke Yoshino, Hirotaka Tomikawa, Yoshimune General Relativity and Quantum Cosmology We discuss the local and quasilocal properties of the loosely trapped surface (LTS) and the attractive gravity probe surface (AGPS), which have been proposed to characterize the strength of gravity in both strong and weak gravity regions using the mean curvature. In terms of local mass defined in a region surrounded by the two AGPSs and of Geroch quasilocal mass, we present several inequalities concerning their size and area, which are of particular interest. We also propose the improved concepts of the LTS/AGPS, which we call LTS Plus (LTS+) and AGPS Plus (AGPS$+$), defined in terms of expansions of outgoing and ingoing null geodesic congruences on those surfaces. Then, the similar inequalities are proven in terms of appropriately defined local mass and the Hawking quasilocal mass. |
| title | Quasilocal inequalities for attractive gravity probe surface |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2510.18202 |