Cauchy problems for Einstein equations in three-dimensional spacetimes
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866909564467675136 |
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| author | Chruściel, Piotr T. Cong, Wan Quéau, Théophile Wutte, Raphaela |
| author_facet | Chruściel, Piotr T. Cong, Wan Quéau, Théophile Wutte, Raphaela |
| contents | We analyze existence and properties of solutions of two-dimensional general relativistic initial data sets with a negative cosmological constant, both on spacelike and characteristic surfaces. A new family of such vacuum, spacelike data parameterised by poles at the conformal boundary at infinity is constructed. We review the notions of global Hamiltonian charges, emphasising the difficulties arising in this dimension, both in a spacelike and characteristic setting. One or two, depending upon the topology, lower bounds for energy in terms of angular momentum, linear momentum, and center of mass are established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07423 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Cauchy problems for Einstein equations in three-dimensional spacetimes Chruściel, Piotr T. Cong, Wan Quéau, Théophile Wutte, Raphaela General Relativity and Quantum Cosmology High Energy Physics - Theory Differential Geometry We analyze existence and properties of solutions of two-dimensional general relativistic initial data sets with a negative cosmological constant, both on spacelike and characteristic surfaces. A new family of such vacuum, spacelike data parameterised by poles at the conformal boundary at infinity is constructed. We review the notions of global Hamiltonian charges, emphasising the difficulties arising in this dimension, both in a spacelike and characteristic setting. One or two, depending upon the topology, lower bounds for energy in terms of angular momentum, linear momentum, and center of mass are established. |
| title | Cauchy problems for Einstein equations in three-dimensional spacetimes |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Differential Geometry |
| url | https://arxiv.org/abs/2411.07423 |