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- Gravitational_instanton abstract "In mathematical physics and differential geometry, a gravitational instanton is a four-dimensional complete Riemannian manifold satisfying the vacuum Einstein equations. They are so named because they are analogues in quantum theories of gravity of instantons in Yang–Mills theory. In accordance with this analogy with self-dual Yang–Mills instantons, gravitational instantons are usually assumed to look like four dimensional Euclidean space at large distances, and to have a self-dual Riemann tensor. Mathematically, this means that they are asymptotically locally Euclidean (or perhaps asymptotically locally flat) hyperkähler 4-manifolds, and in this sense, they are special examples of Einstein manifolds. From a physical point of view, a gravitational instanton is a non-singular solution of the vacuum Einstein equations with positive-definite, as opposed to Lorentzian, metric. There are many possible generalizations of the original conception of a gravitational instanton: for example one can allow gravitational instantons to have a nonzero cosmological constant or a Riemann tensor which is not self-dual. One can also relax the boundary condition that the metric is asymptotically Euclidean.There are many methods for constructing gravitational instantons, including the Gibbons–Hawking Ansatz, twistor theory, and the hyperkähler quotient construction.".
- Gravitational_instanton wikiPageExternalLink 9603167.
- Gravitational_instanton wikiPageID "2618270".
- Gravitational_instanton wikiPageLength "8871".
- Gravitational_instanton wikiPageOutDegree "45".
- Gravitational_instanton wikiPageRevisionID "544118008".
- Gravitational_instanton wikiPageWikiLink 3-sphere.
- Gravitational_instanton wikiPageWikiLink Calabi–Yau_manifold.
- Gravitational_instanton wikiPageWikiLink Category:4-manifolds.
- Gravitational_instanton wikiPageWikiLink Category:Mathematical_physics.
- Gravitational_instanton wikiPageWikiLink Category:Quantum_gravity.
- Gravitational_instanton wikiPageWikiLink Category:Riemannian_manifolds.
- Gravitational_instanton wikiPageWikiLink Complete_metric.
- Gravitational_instanton wikiPageWikiLink Complete_metric_space.
- Gravitational_instanton wikiPageWikiLink Coordinate_system.
- Gravitational_instanton wikiPageWikiLink Cosmological_constant.
- Gravitational_instanton wikiPageWikiLink Cyclic_group.
- Gravitational_instanton wikiPageWikiLink Differential_geometry.
- Gravitational_instanton wikiPageWikiLink Eguchi–Hanson_space.
- Gravitational_instanton wikiPageWikiLink Einstein_equation.
- Gravitational_instanton wikiPageWikiLink Einstein_field_equations.
- Gravitational_instanton wikiPageWikiLink Einstein_manifold.
- Gravitational_instanton wikiPageWikiLink Euclidean_space.
- Gravitational_instanton wikiPageWikiLink Euler_angles.
- Gravitational_instanton wikiPageWikiLink Gibbons–Hawking_Ansatz.
- Gravitational_instanton wikiPageWikiLink Gibbons–Hawking_ansatz.
- Gravitational_instanton wikiPageWikiLink Gravitational_singularity.
- Gravitational_instanton wikiPageWikiLink Hyperkähler_manifold.
- Gravitational_instanton wikiPageWikiLink Hyperkähler_quotient.
- Gravitational_instanton wikiPageWikiLink Instanton.
- Gravitational_instanton wikiPageWikiLink Kähler_manifold.
- Gravitational_instanton wikiPageWikiLink Mathematical_physics.
- Gravitational_instanton wikiPageWikiLink Orbifold.
- Gravitational_instanton wikiPageWikiLink Peter_B._Kronheimer.
- Gravitational_instanton wikiPageWikiLink Pseudo-Riemannian_manifold.
- Gravitational_instanton wikiPageWikiLink Quantum_gravity.
- Gravitational_instanton wikiPageWikiLink Riemann_curvature_tensor.
- Gravitational_instanton wikiPageWikiLink Riemann_tensor.
- Gravitational_instanton wikiPageWikiLink Riemannian_manifold.
- Gravitational_instanton wikiPageWikiLink Rotations_in_4-dimensional_Euclidean_space.
- Gravitational_instanton wikiPageWikiLink SO(4).
- Gravitational_instanton wikiPageWikiLink Stephen_Hawking.
- Gravitational_instanton wikiPageWikiLink String_theory.
- Gravitational_instanton wikiPageWikiLink Subgroup.
- Gravitational_instanton wikiPageWikiLink Three-sphere.
- Gravitational_instanton wikiPageWikiLink Twistor_theory.
- Gravitational_instanton wikiPageWikiLink Vacuum.
- Gravitational_instanton wikiPageWikiLink Yang–Mills_theory.
- Gravitational_instanton wikiPageWikiLinkText "Eguchi-Hanson".
- Gravitational_instanton wikiPageWikiLinkText "Gravitational instanton".
- Gravitational_instanton wikiPageWikiLinkText "gravitational instanton".
- Gravitational_instanton hasPhotoCollection Gravitational_instanton.
- Gravitational_instanton wikiPageUsesTemplate Template:Expert-subject.
- Gravitational_instanton wikiPageUsesTemplate Template:Main.
- Gravitational_instanton subject Category:4-manifolds.
- Gravitational_instanton subject Category:Mathematical_physics.
- Gravitational_instanton subject Category:Quantum_gravity.
- Gravitational_instanton subject Category:Riemannian_manifolds.
- Gravitational_instanton hypernym Manifold.
- Gravitational_instanton type Article.
- Gravitational_instanton type Article.
- Gravitational_instanton type Physic.
- Gravitational_instanton comment "In mathematical physics and differential geometry, a gravitational instanton is a four-dimensional complete Riemannian manifold satisfying the vacuum Einstein equations. They are so named because they are analogues in quantum theories of gravity of instantons in Yang–Mills theory.".
- Gravitational_instanton label "Gravitational instanton".
- Gravitational_instanton sameAs 重力インスタントン.
- Gravitational_instanton sameAs m.07s39d.
- Gravitational_instanton sameAs Q5597999.
- Gravitational_instanton sameAs Q5597999.
- Gravitational_instanton wasDerivedFrom Gravitational_instanton?oldid=544118008.
- Gravitational_instanton isPrimaryTopicOf Gravitational_instanton.