Boundary Energy-Momentum Tensors for Asymptotically Flat Spacetimes
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| author | Hartong, Jelle Have, Emil Nenmeli, Vijay Oling, Gerben |
| author_facet | Hartong, Jelle Have, Emil Nenmeli, Vijay Oling, Gerben |
| contents | We consider 3D and 4D asymptotically flat spacetimes near future null infinity endowed with the most general allowed Carroll geometry. We define a boundary energy-momentum tensor by varying the on-shell action with respect to the Carroll metric data. This requires adding counterterms to the Einstein-Hilbert action. We show that, in 4D, the shear is on par with the Carroll metric data. Their combined response defines a boundary energy-momentum-news complex whose diffeomorphism Ward identity is equivalent to the Bondi mass and angular momentum loss equations. Weyl invariance leads to an identity for the trace of the energy-momentum tensor, and local Carroll boosts are anomalous in 3D and in 4D. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05432 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Boundary Energy-Momentum Tensors for Asymptotically Flat Spacetimes Hartong, Jelle Have, Emil Nenmeli, Vijay Oling, Gerben High Energy Physics - Theory General Relativity and Quantum Cosmology We consider 3D and 4D asymptotically flat spacetimes near future null infinity endowed with the most general allowed Carroll geometry. We define a boundary energy-momentum tensor by varying the on-shell action with respect to the Carroll metric data. This requires adding counterterms to the Einstein-Hilbert action. We show that, in 4D, the shear is on par with the Carroll metric data. Their combined response defines a boundary energy-momentum-news complex whose diffeomorphism Ward identity is equivalent to the Bondi mass and angular momentum loss equations. Weyl invariance leads to an identity for the trace of the energy-momentum tensor, and local Carroll boosts are anomalous in 3D and in 4D. |
| title | Boundary Energy-Momentum Tensors for Asymptotically Flat Spacetimes |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2505.05432 |