Inhomogeneous metrics on complex bundles in Lovelock gravity
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.
Authors
- Borja Diez (ORCID: https://orcid.org/0009-0004-3805-4036)
- Leonardo Sanhueza (ORCID: https://orcid.org/0000-0003-0335-0631)
- Nelson Merino (ORCID: https://orcid.org/0000-0003-4548-7767)
- Cristóbal Corral (ORCID: https://orcid.org/0000-0002-4503-4154)
- Daniel Flores-Alfonso (ORCID: https://orcid.org/0000-0001-7866-3531)
Institutions
- University of Concepción (CL)
- Perimeter Institute (CA)
- Universidad Autónoma Metropolitana (MX)
- Adolfo Ibáñez University (CL)
- Arturo Prat University (CL)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2025-06-11
- DOI
- https://doi.org/10.1103/physrevd.111.124016
- Citations
- 5
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 9.35
Funders
- Innovation, Science and Economic Development Canada
- Government of Canada
- Consejo Nacional de Ciencia y Tecnología
- Universidad Arturo Prat
- Agencia Nacional de Investigación y Desarrollo
- Institut Périmètre de physique théorique
- Ministry of Colleges and Universities
- Fondo Nacional de Desarrollo Científico y Tecnológico