Black hole hair formation in shift-symmetric generalised scalar-tensor gravity
A linear coupling between a scalar field and the Gauss–Bonnet invariant is the only known interaction term between a scalar and the metric that: respects shift symmetry; does not lead to higher order equations; inevitably introduces black hole hair in asymptotically flat, 4-dimensional spacetimes. H...
| Main Authors: | , , |
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| Format: | Article |
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IOP Publishing
2017
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| Online Access: | https://eprints.nottingham.ac.uk/40863/ |
| _version_ | 1848796150008643584 |
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| author | Benkel, Robert Sotiriou, Thomas P. Witek, Helvi |
| author_facet | Benkel, Robert Sotiriou, Thomas P. Witek, Helvi |
| author_sort | Benkel, Robert |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | A linear coupling between a scalar field and the Gauss–Bonnet invariant is the only known interaction term between a scalar and the metric that: respects shift symmetry; does not lead to higher order equations; inevitably introduces black hole hair in asymptotically flat, 4-dimensional spacetimes. Here we focus on the simplest theory that includes such a term and we explore the dynamical formation of scalar hair. In particular, we work in the decoupling limit that neglects the backreaction of the scalar onto the metric and evolve the scalar configuration numerically in the background of a Schwarzschild black hole and a collapsing dust star described by the Oppenheimer–Snyder solution. For all types of initial data that we consider, the scalar relaxes at late times to the known, static, analytic configuration that is associated with a hairy, spherically symmetric black hole. This suggests that the corresponding black hole solutions are indeed endpoints of collapse. |
| first_indexed | 2025-11-14T19:43:24Z |
| format | Article |
| id | nottingham-40863 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:43:24Z |
| publishDate | 2017 |
| publisher | IOP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-408632020-05-04T18:34:08Z https://eprints.nottingham.ac.uk/40863/ Black hole hair formation in shift-symmetric generalised scalar-tensor gravity Benkel, Robert Sotiriou, Thomas P. Witek, Helvi A linear coupling between a scalar field and the Gauss–Bonnet invariant is the only known interaction term between a scalar and the metric that: respects shift symmetry; does not lead to higher order equations; inevitably introduces black hole hair in asymptotically flat, 4-dimensional spacetimes. Here we focus on the simplest theory that includes such a term and we explore the dynamical formation of scalar hair. In particular, we work in the decoupling limit that neglects the backreaction of the scalar onto the metric and evolve the scalar configuration numerically in the background of a Schwarzschild black hole and a collapsing dust star described by the Oppenheimer–Snyder solution. For all types of initial data that we consider, the scalar relaxes at late times to the known, static, analytic configuration that is associated with a hairy, spherically symmetric black hole. This suggests that the corresponding black hole solutions are indeed endpoints of collapse. IOP Publishing 2017-02-20 Article PeerReviewed Benkel, Robert, Sotiriou, Thomas P. and Witek, Helvi (2017) Black hole hair formation in shift-symmetric generalised scalar-tensor gravity. Classical and Quantum Gravity, 34 (6). 064001/1-064001/23. ISSN 1361-6382 http://dx.doi.org/10.1088/1361-6382/aa5ce7 doi:10.1088/1361-6382/aa5ce7 doi:10.1088/1361-6382/aa5ce7 |
| spellingShingle | Benkel, Robert Sotiriou, Thomas P. Witek, Helvi Black hole hair formation in shift-symmetric generalised scalar-tensor gravity |
| title | Black hole hair formation in shift-symmetric generalised scalar-tensor gravity |
| title_full | Black hole hair formation in shift-symmetric generalised scalar-tensor gravity |
| title_fullStr | Black hole hair formation in shift-symmetric generalised scalar-tensor gravity |
| title_full_unstemmed | Black hole hair formation in shift-symmetric generalised scalar-tensor gravity |
| title_short | Black hole hair formation in shift-symmetric generalised scalar-tensor gravity |
| title_sort | black hole hair formation in shift-symmetric generalised scalar-tensor gravity |
| url | https://eprints.nottingham.ac.uk/40863/ https://eprints.nottingham.ac.uk/40863/ https://eprints.nottingham.ac.uk/40863/ |