A Note on the Newman-Unti Group and the BMS Charge Algebra in Terms of Newman-Penrose Coefficients
The symmetry algebra of asymptotically flat spacetimes at null infinity in four dimensions in the sense of Newman and Unti is revisited. As in the Bondi-Metzner-Sachs gauge, it is shown to be isomorphic to the direct sum of the abelian algebra of infinitesimal conformal rescalings with 𝔟𝔪𝔰4. The lat...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2012/197385 |
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| author | Glenn Barnich Pierre-Henry Lambert |
| author_facet | Glenn Barnich Pierre-Henry Lambert |
| author_sort | Glenn Barnich |
| collection | DOAJ |
| description | The symmetry algebra of asymptotically flat spacetimes at null infinity in four dimensions in the sense of Newman and Unti is revisited. As in the Bondi-Metzner-Sachs gauge, it is shown to be isomorphic to the direct sum of the abelian algebra of infinitesimal conformal rescalings with 𝔟𝔪𝔰4. The latter algebra is the semidirect sum of infinitesimal supertranslations with the conformal Killing vectors of the Riemann sphere. Infinitesimal local conformal transformations can then consistently be included. We work out the local conformal properties of the relevant Newman-Penrose coefficients, construct the surface charges, and derive their algebra. |
| format | Article |
| id | doaj-art-8eac7628977a446897341c761f29f570 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-8eac7628977a446897341c761f29f5702025-02-03T06:45:18ZengWileyAdvances in Mathematical Physics1687-91201687-91392012-01-01201210.1155/2012/197385197385A Note on the Newman-Unti Group and the BMS Charge Algebra in Terms of Newman-Penrose CoefficientsGlenn Barnich0Pierre-Henry Lambert1Physique Théorique et Mathématique, Université Libre de Bruxelles, Campus Plaine, CP 231, 1050 Bruxelles, BelgiumPhysique Théorique et Mathématique, Université Libre de Bruxelles, Campus Plaine, CP 231, 1050 Bruxelles, BelgiumThe symmetry algebra of asymptotically flat spacetimes at null infinity in four dimensions in the sense of Newman and Unti is revisited. As in the Bondi-Metzner-Sachs gauge, it is shown to be isomorphic to the direct sum of the abelian algebra of infinitesimal conformal rescalings with 𝔟𝔪𝔰4. The latter algebra is the semidirect sum of infinitesimal supertranslations with the conformal Killing vectors of the Riemann sphere. Infinitesimal local conformal transformations can then consistently be included. We work out the local conformal properties of the relevant Newman-Penrose coefficients, construct the surface charges, and derive their algebra.http://dx.doi.org/10.1155/2012/197385 |
| spellingShingle | Glenn Barnich Pierre-Henry Lambert A Note on the Newman-Unti Group and the BMS Charge Algebra in Terms of Newman-Penrose Coefficients Advances in Mathematical Physics |
| title | A Note on the Newman-Unti Group and the BMS Charge Algebra in Terms of Newman-Penrose Coefficients |
| title_full | A Note on the Newman-Unti Group and the BMS Charge Algebra in Terms of Newman-Penrose Coefficients |
| title_fullStr | A Note on the Newman-Unti Group and the BMS Charge Algebra in Terms of Newman-Penrose Coefficients |
| title_full_unstemmed | A Note on the Newman-Unti Group and the BMS Charge Algebra in Terms of Newman-Penrose Coefficients |
| title_short | A Note on the Newman-Unti Group and the BMS Charge Algebra in Terms of Newman-Penrose Coefficients |
| title_sort | note on the newman unti group and the bms charge algebra in terms of newman penrose coefficients |
| url | http://dx.doi.org/10.1155/2012/197385 |
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