Existence and uniqueness of asymptotically flat toric gravitational instantons
DOI10.1007/s11005-021-01475-1zbMath1478.35203arXiv2107.02540OpenAlexW3181052345MaRDI QIDQ2051456
James Lucietti, Hari K. Kunduri
Publication date: 24 November 2021
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2107.02540
Asymptotic behavior of solutions to PDEs (35B40) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Soliton solutions (35C08) Einstein equations (35Q76) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Rod-structure classification of gravitational instantons with \(U(1)\times U(1)\) isometry
- Stationary two-black-hole configurations: A non-existence proof
- Uniqueness theorem for 5-dimensional black holes with two axial Killing fields
- The construction of ALE spaces as hyper-Kähler quotients
- The hidden symmetries of multi-centre metrics
- On the nonexistence of a vacuum black lens
- Harmonic maps with prescribed singularities and applications in general relativity
- Abelian instantons over the Chen-Teo AF geometry
- Stationary black holes: uniqueness and beyond
- A mass for ALF manifolds
- A uniqueness theorem for stationary Kaluza-Klein black holes
- The four laws of black hole mechanics
- New thermodynamic identities for five-dimensional black holes
- On rotating black holes in equilibrium in general relativity
- The stationary axisymmetric two-body problem in general relativity
- Stationary vacuum black holes in 5 dimensions
- Rigidity for Multi-Taub-NUT metrics
This page was built for publication: Existence and uniqueness of asymptotically flat toric gravitational instantons