An exact gravitational instanton is obtained from a first-order PDE in 5D brane-world conformal dilaton gravity, producing a quintic polynomial for singularities and a locally conformal Kähler manifold in effective 4D with S³×ℝ/ℤ₂ topology.
H.,Newman-Janis Algorithm from Taub-NUT Instantons, ArXiv: gr-qc/241219611 (2024)
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A New Self-Dual Gravitational Instanton Solution on a Local Conformal K\"ahlerian Manifold in a Brane World Model
An exact gravitational instanton is obtained from a first-order PDE in 5D brane-world conformal dilaton gravity, producing a quintic polynomial for singularities and a locally conformal Kähler manifold in effective 4D with S³×ℝ/ℤ₂ topology.