Spinorial quasilocal mass for spacetimes with negative cosmological constant
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866914025121513472 |
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| author | Rallabhandi, Virinchi |
| author_facet | Rallabhandi, Virinchi |
| contents | A new notion of quasilocal mass is defined for generic, compact, two dimensional, spacelike surfaces in four dimensional spacetimes with negative cosmological constant. The definition is spinorial and based on work for vanishing cosmological constant by Penrose and Dougan & Mason. Furthermore, this mass is non-negative, equal to the Misner-Sharp mass in spherical symmetry, equal to zero for every generic surface in AdS, has an appropriate form for gravity linearised about AdS and has an appropriate limit for large spheres in asymptotically AdS spacetimes. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2504_11971 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spinorial quasilocal mass for spacetimes with negative cosmological constant Rallabhandi, Virinchi General Relativity and Quantum Cosmology High Energy Physics - Theory Differential Geometry A new notion of quasilocal mass is defined for generic, compact, two dimensional, spacelike surfaces in four dimensional spacetimes with negative cosmological constant. The definition is spinorial and based on work for vanishing cosmological constant by Penrose and Dougan & Mason. Furthermore, this mass is non-negative, equal to the Misner-Sharp mass in spherical symmetry, equal to zero for every generic surface in AdS, has an appropriate form for gravity linearised about AdS and has an appropriate limit for large spheres in asymptotically AdS spacetimes. |
| title | Spinorial quasilocal mass for spacetimes with negative cosmological constant |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Differential Geometry |
| url | https://arxiv.org/abs/2504.11971 |