Linear stability of vector Horndeski black holes
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2024
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866911983512584192 |
|---|---|
| author | Chen, Che-Yu De Felice, Antonio Tsujikawa, Shinji |
| author_facet | Chen, Che-Yu De Felice, Antonio Tsujikawa, Shinji |
| contents | Horndeski's vector-tensor (HVT) gravity is described by a Lagrangian in which the field strength $F_{μν}=\partial_μ A_ν-\partial_ν A_μ$ of a vector field $A_μ$ interacts with a double dual Riemann tensor $L^{μναβ}$ in the form $βL^{μναβ} F_{μν} F_{αβ}$, where $β$ is a constant. In Einstein-Maxwell-HVT theory, there are static and spherically symmetric black hole (BH) solutions with electric or magnetic charges, whose metric components are modified from those in the Reissner-Nordström geometry. The electric-magnetic duality of solutions is broken even at the background level by the nonvanishing coupling constant $β$. We compute a second-order action of BH perturbations containing both the odd- and even-parity modes and show that there are four dynamical perturbations arising from the gravitational and vector-field sectors. We derive all the linear stability conditions associated with the absence of ghosts and radial/angular Laplacian instabilities for both the electric and magnetic BHs. These conditions exhibit the difference between the electrically and magnetically charged cases by reflecting the breaking of electric-magnetic duality at the level of perturbations. In particular, the four angular propagation speeds in the large-multipole limit are different from each other for both the electric and magnetic BHs. This suggests the breaking of eikonal correspondence between the peak position of at least one of the potentials of dynamical perturbations and the radius of photon sphere. For the electrically and magnetically charged cases, we elucidate parameter spaces of the HVT coupling and the BH charge in which the BHs without naked singularities are linearly stable. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_09377 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Linear stability of vector Horndeski black holes Chen, Che-Yu De Felice, Antonio Tsujikawa, Shinji General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory Horndeski's vector-tensor (HVT) gravity is described by a Lagrangian in which the field strength $F_{μν}=\partial_μ A_ν-\partial_ν A_μ$ of a vector field $A_μ$ interacts with a double dual Riemann tensor $L^{μναβ}$ in the form $βL^{μναβ} F_{μν} F_{αβ}$, where $β$ is a constant. In Einstein-Maxwell-HVT theory, there are static and spherically symmetric black hole (BH) solutions with electric or magnetic charges, whose metric components are modified from those in the Reissner-Nordström geometry. The electric-magnetic duality of solutions is broken even at the background level by the nonvanishing coupling constant $β$. We compute a second-order action of BH perturbations containing both the odd- and even-parity modes and show that there are four dynamical perturbations arising from the gravitational and vector-field sectors. We derive all the linear stability conditions associated with the absence of ghosts and radial/angular Laplacian instabilities for both the electric and magnetic BHs. These conditions exhibit the difference between the electrically and magnetically charged cases by reflecting the breaking of electric-magnetic duality at the level of perturbations. In particular, the four angular propagation speeds in the large-multipole limit are different from each other for both the electric and magnetic BHs. This suggests the breaking of eikonal correspondence between the peak position of at least one of the potentials of dynamical perturbations and the radius of photon sphere. For the electrically and magnetically charged cases, we elucidate parameter spaces of the HVT coupling and the BH charge in which the BHs without naked singularities are linearly stable. |
| title | Linear stability of vector Horndeski black holes |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2404.09377 |