On Self-Dual Gravity I
arXiv:gr-qc/9301014 · doi:10.1103/PhysRevD.48.2606
Abstract
(One typo corrected and one incorrect statement removed. Extra details on conserved quantities and symmetry algebras added).
17 pages, Latex, DAMTP-R92/47
Cited by in corpus (21)
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- Chiral Higher Spin Theories and Self-Duality
- Hyper-K{ä}hler Hierarchies and their twistor theory
- Classification of Generalized Symmetries for the Vacuum Einstein Equations
- Hydrodynamic reductions of multi-dimensional dispersionless PDEs: the test for integrability
- On the integrability of symplectic Monge-Ampére equations
- The Lagrangian of a Self-Dual Gravitational Field as a Limit of the SDYM Lagrangian
- Symmetries, Currents and Conservation Laws of Self-Dual Gravity
- Recursion operators for dispersionless integrable systems in any dimension
- Hypercomplex Integrable Systems
- The symmetry structure of the anti-self-dual Einstein hierarchy
- On a class of integrable systems of Monge-Ampère type
- Self-dual gravity is completely integrable
- Applications of the Ashtekar gravity to four dimensional hyperkähler geometry and Yang-Mills Instantons
- Self-Dual Gravity Revisited
- Integrable equations of the dispersionless Hirota type and hypersurfaces in the Lagrangian Grassmannian
- A Quasiperiodic Gibbons--Hawking Metric and Spacetime Foam
- Discrete and Continuous Bogomolny Equations through the Deformed Algebra
- Solutions in Self-Dual Gravity Constructed Via Chiral Equations
- Integrability of dispersionless Hirota type equations in 4D and the symplectic Monge-Ampere property
- Self-dual gravity via Hitchin's equations