New Lorentzian Taub-NUT and Euclidean Eguchi–Hanson solutions in f ( R ) gravity
Abstract
Abstract We express a new mathematical Taub-NUT like black-hole solution in f ( R ) gravity. This solution is found to have a non constant Ricci scalar and corresponds to an extension of the δ = − 1 / 2 case of the Clifton–Barrow metric. Within the context of this space-time we examine various limit, thermodynamic quantities and non-charged particle trajectories. In addition we find an Eguchi–Hanson type-II f ( R ) regime related to the found solution.
Fields of Study & Subjects
Noncommutative and Quantum Gravity Theories
Black Holes and Theoretical Physics
Advanced Differential Geometry Research
Publication details
- Journal / source
- Classical and Quantum Gravity
- Volume
- 43
- Issue
- 4
- Pages
- 045019–045019
- Publication date
- 3 February 2026
- Language
- EN