A New Way to Derive the Taub-NUT Metric with Positive Cosmological Constant

Abstract

We investigate a biaxial Bianchi IX model with positive cosmological constant, which is sometimes called the Lambda-Taub-NUT spacetime, whose exact solution is well known. The minisuperspace of biaxial Bianchi IX models admits two non-trivial Killing tensors that play an important role for deriving the Taub-NUT metric. We also give a brief discussion about the asymptotic behaviour of Bianchi IX models.

References in corpus (2)

• Investigations of solutions of Einstein's field equations close to lambda-Taub-NUT
• Mixmaster Revisited: Wormhole Solutions to the Bianchi IX Wheeler-DeWitt Equation using the Euclidean-Signature Semi-Classical Method

Cited by in corpus (4)

• Eisenhart Lift of $2$--Dimensional Mechanics
• Bianchi IX cosmologies in the Einstein-Skyrme system in a sector with non-trivial topological charge
• Quantum cosmology of Bianchi VIII, IX LRS geometries
• Vacuum initial data on ${\mathbb{S}}^3$ from Killing vectors