On the stability of electrovacuum space-times in scalar–tensor gravity
Abstract We study the behavior of static, spherically symmetric solutions to the field equations of scalar–tensor theories (STT) of gravity belonging to the Bergmann–Wagoner–Nordtvedt class, in the presence of an electric and/or magnetic charge. This class of theories includes the Brans–Dicke, Barke...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-10-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-13420-2 |
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| author | Kirill A. Bronnikov Sergei V. Bolokhov Milena V. Skvortsova Rustam Ibadov Feruza Y. Shaymanova |
| author_facet | Kirill A. Bronnikov Sergei V. Bolokhov Milena V. Skvortsova Rustam Ibadov Feruza Y. Shaymanova |
| author_sort | Kirill A. Bronnikov |
| collection | DOAJ |
| description | Abstract We study the behavior of static, spherically symmetric solutions to the field equations of scalar–tensor theories (STT) of gravity belonging to the Bergmann–Wagoner–Nordtvedt class, in the presence of an electric and/or magnetic charge. This class of theories includes the Brans–Dicke, Barker and Schwinger STT as well as nonminimally coupled scalar fields with an arbitrary parameter $$\xi $$ ξ . The study is restricted to canonical (nonphantom) versions of the theories and scalar fields without a self-interaction potential. Only radial (monopole) perturbations are considered as the most likely ones to cause an instability. The static background solutions contain naked singularities, but we formulate the boundary conditions in such a way that would preserve their meaning if a singularity is smoothed, for example, due to quantum gravity effects. These boundary conditions look more physical than those used by other authors. Since the solutions of all STT under study are related by conformal transformations, the stability problem for all of them reduces to the same wave equation, but the boundary conditions for perturbations (and sometimes the boundaries themselves) are different in different STT, which affects the stability results. The stability or instability conclusions are obtained for different branches of solutions in the theories under consideration and are presented in a table form. |
| format | Article |
| id | doaj-art-e88c4fe8689e4e0cabaa75a29beee1c0 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-e88c4fe8689e4e0cabaa75a29beee1c02024-12-08T12:43:39ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-10-01841012010.1140/epjc/s10052-024-13420-2On the stability of electrovacuum space-times in scalar–tensor gravityKirill A. Bronnikov0Sergei V. Bolokhov1Milena V. Skvortsova2Rustam Ibadov3Feruza Y. Shaymanova4Center of Gravitation and Fundamental Metrology, VNIIMSInstitute of Gravitation and Cosmology, RUDN UniversityInstitute of Gravitation and Cosmology, RUDN UniversityDepartment of Theoretical Physics and Computer Science, Samarkand State UniversityDepartment of Theoretical Physics and Computer Science, Samarkand State UniversityAbstract We study the behavior of static, spherically symmetric solutions to the field equations of scalar–tensor theories (STT) of gravity belonging to the Bergmann–Wagoner–Nordtvedt class, in the presence of an electric and/or magnetic charge. This class of theories includes the Brans–Dicke, Barker and Schwinger STT as well as nonminimally coupled scalar fields with an arbitrary parameter $$\xi $$ ξ . The study is restricted to canonical (nonphantom) versions of the theories and scalar fields without a self-interaction potential. Only radial (monopole) perturbations are considered as the most likely ones to cause an instability. The static background solutions contain naked singularities, but we formulate the boundary conditions in such a way that would preserve their meaning if a singularity is smoothed, for example, due to quantum gravity effects. These boundary conditions look more physical than those used by other authors. Since the solutions of all STT under study are related by conformal transformations, the stability problem for all of them reduces to the same wave equation, but the boundary conditions for perturbations (and sometimes the boundaries themselves) are different in different STT, which affects the stability results. The stability or instability conclusions are obtained for different branches of solutions in the theories under consideration and are presented in a table form.https://doi.org/10.1140/epjc/s10052-024-13420-2 |
| spellingShingle | Kirill A. Bronnikov Sergei V. Bolokhov Milena V. Skvortsova Rustam Ibadov Feruza Y. Shaymanova On the stability of electrovacuum space-times in scalar–tensor gravity European Physical Journal C: Particles and Fields |
| title | On the stability of electrovacuum space-times in scalar–tensor gravity |
| title_full | On the stability of electrovacuum space-times in scalar–tensor gravity |
| title_fullStr | On the stability of electrovacuum space-times in scalar–tensor gravity |
| title_full_unstemmed | On the stability of electrovacuum space-times in scalar–tensor gravity |
| title_short | On the stability of electrovacuum space-times in scalar–tensor gravity |
| title_sort | on the stability of electrovacuum space times in scalar tensor gravity |
| url | https://doi.org/10.1140/epjc/s10052-024-13420-2 |
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