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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2504.11562 |
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| _version_ | 1866912423883046912 |
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| author | Corral, Cristóbal Diez, Borja Flores-Alfonso, Daniel Merino, Nelson Sanhueza, Leonardo |
| author_facet | Corral, Cristóbal Diez, Borja Flores-Alfonso, Daniel Merino, Nelson Sanhueza, Leonardo |
| contents | We consider Lovelock gravity in arbitrary, even dimensions. We find a large class of new gravitational instantons by considering extended nontrivial circle bundles over Kähler manifolds. Concretely, we generalize the Page-Pope metric in the presence of higher-curvature corrections of the Lovelock class. A subset of these spaces admits analytic continuation into the Lorentzian sector, producing new stationary solutions in Lovelock gravity. The geometries are fully determined by a single algebraic equation. We also obtain necessary and sufficient conditions for Lovelock-constant Kähler manifolds to exist in Lovelock gravity. Finally, we find a wide class of Lovelock-Maxwell solutions beyond staticity, allowing us to obtain the electrovacuum extension of these instantons. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_11562 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inhomogeneous metrics on complex bundles in Lovelock gravity Corral, Cristóbal Diez, Borja Flores-Alfonso, Daniel Merino, Nelson Sanhueza, Leonardo High Energy Physics - Theory We consider Lovelock gravity in arbitrary, even dimensions. We find a large class of new gravitational instantons by considering extended nontrivial circle bundles over Kähler manifolds. Concretely, we generalize the Page-Pope metric in the presence of higher-curvature corrections of the Lovelock class. A subset of these spaces admits analytic continuation into the Lorentzian sector, producing new stationary solutions in Lovelock gravity. The geometries are fully determined by a single algebraic equation. We also obtain necessary and sufficient conditions for Lovelock-constant Kähler manifolds to exist in Lovelock gravity. Finally, we find a wide class of Lovelock-Maxwell solutions beyond staticity, allowing us to obtain the electrovacuum extension of these instantons. |
| title | Inhomogeneous metrics on complex bundles in Lovelock gravity |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.11562 |