A convenient gauge for virial identities in axial symmetry
Virial identities are a useful mathematical tool in General Relativity. Not only have they been used as a numerical accuracy tool, but they have also played a significant role in establishing no-go and no-hair theorems while giving some physical insight into the considered system from an energy bala...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2023-02-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269322007808 |
| _version_ | 1828056016435019776 |
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| author | João M.S. Oliveira Alexandre M. Pombo |
| author_facet | João M.S. Oliveira Alexandre M. Pombo |
| author_sort | João M.S. Oliveira |
| collection | DOAJ |
| description | Virial identities are a useful mathematical tool in General Relativity. Not only have they been used as a numerical accuracy tool, but they have also played a significant role in establishing no-go and no-hair theorems while giving some physical insight into the considered system from an energy balance perspective. While the calculation of these identities tends to be a straightforward application of Derrick's scaling argument [1], the complexity of the resulting identity is system dependent. In particular, the contribution of the Einstein-Hilbert action, due to the presence of second order derivatives of the metric functions, becomes increasingly complex for generic metrics. Additionally, the Gibbons-Hawking-York term needs to be taken into account [2]. Thankfully, since the gravitational action only depends on the metric, it is expected that a “convenient” gauge that trivializes the gravitational action contribution exists. While in spherical symmetry such a gauge is known (the m−σ parametrization), such has not been found for axial symmetry. In this letter, we propose a “convenient” gauge for axial symmetry and use it to compute an identity for Kerr black holes with scalar hair. |
| first_indexed | 2024-04-10T20:47:44Z |
| format | Article |
| id | doaj.art-2893b60957624f6aa015cb67e1bfc552 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-10T20:47:44Z |
| publishDate | 2023-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-2893b60957624f6aa015cb67e1bfc5522023-01-24T04:07:19ZengElsevierPhysics Letters B0370-26932023-02-01837137646A convenient gauge for virial identities in axial symmetryJoão M.S. Oliveira0Alexandre M. Pombo1Centro de Matemática, Universidade do Minho, 4710-057 Braga, Portugal; Corresponding author.Departamento de Matemática da Universidade de Aveiro and Centre for Research and Development in Mathematics and Applications (CIDMA), Campus de Santiago, 3810-183 Aveiro, Portugal; Centro de Astrofísica e Gravitação - CENTRA, Departamento de Física, Instituto Superior Técnico - IST, Universidade de Lisboa - UL, Avenida Rovisco Pais 1, 1049-001 Lisboa, PortugalVirial identities are a useful mathematical tool in General Relativity. Not only have they been used as a numerical accuracy tool, but they have also played a significant role in establishing no-go and no-hair theorems while giving some physical insight into the considered system from an energy balance perspective. While the calculation of these identities tends to be a straightforward application of Derrick's scaling argument [1], the complexity of the resulting identity is system dependent. In particular, the contribution of the Einstein-Hilbert action, due to the presence of second order derivatives of the metric functions, becomes increasingly complex for generic metrics. Additionally, the Gibbons-Hawking-York term needs to be taken into account [2]. Thankfully, since the gravitational action only depends on the metric, it is expected that a “convenient” gauge that trivializes the gravitational action contribution exists. While in spherical symmetry such a gauge is known (the m−σ parametrization), such has not been found for axial symmetry. In this letter, we propose a “convenient” gauge for axial symmetry and use it to compute an identity for Kerr black holes with scalar hair.http://www.sciencedirect.com/science/article/pii/S0370269322007808 |
| spellingShingle | João M.S. Oliveira Alexandre M. Pombo A convenient gauge for virial identities in axial symmetry Physics Letters B |
| title | A convenient gauge for virial identities in axial symmetry |
| title_full | A convenient gauge for virial identities in axial symmetry |
| title_fullStr | A convenient gauge for virial identities in axial symmetry |
| title_full_unstemmed | A convenient gauge for virial identities in axial symmetry |
| title_short | A convenient gauge for virial identities in axial symmetry |
| title_sort | convenient gauge for virial identities in axial symmetry |
| url | http://www.sciencedirect.com/science/article/pii/S0370269322007808 |
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