Geometrically defined asymptotic coordinates in General Relativity
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911576588550144 |
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| author | Cederbaum, Carla Metzger, Jan |
| author_facet | Cederbaum, Carla Metzger, Jan |
| contents | We review and announce recent results on the asymptotic behavior of asymptotically Euclidean relativistic initial data sets and asymptotic foliations thereof. In particular, we discuss the geometrization of asymptotic flatness and of asymptotic geometric (in-)\-variants such as mass, energy, linear momentum, angular momentum and center of mass as well as their relations to certain geometric asymptotic foliations such as the CMC- and STCMC-foliations. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2604_07168 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Geometrically defined asymptotic coordinates in General Relativity Cederbaum, Carla Metzger, Jan Analysis of PDEs General Relativity and Quantum Cosmology Differential Geometry We review and announce recent results on the asymptotic behavior of asymptotically Euclidean relativistic initial data sets and asymptotic foliations thereof. In particular, we discuss the geometrization of asymptotic flatness and of asymptotic geometric (in-)\-variants such as mass, energy, linear momentum, angular momentum and center of mass as well as their relations to certain geometric asymptotic foliations such as the CMC- and STCMC-foliations. |
| title | Geometrically defined asymptotic coordinates in General Relativity |
| topic | Analysis of PDEs General Relativity and Quantum Cosmology Differential Geometry |
| url | https://arxiv.org/abs/2604.07168 |