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- Spherically_symmetric_spacetime abstract "A spherically symmetric spacetime is a spacetime whose isometry group contains a subgroup which is isomorphic to the (rotation) group and the orbits of this group are 2-dimensional spheres (2-spheres). The isometries are then interpreted as rotations and a spherically symmetric spacetime is often described as one whose metric is "invariant under rotations". The spacetime metric induces a metric on each orbit 2-sphere (and this induced metric must be a multiple of the metric of a 2-sphere). Spherical symmetry is a characteristic feature of many solutions of Einstein's field equations of general relativity, especially the Schwarzschild solution. A spherically symmetric spacetime can be characterised in another way, namely, by using the notion of Killing vector fields, which, in a very precise sense, preserve the metric. The isometries referred to above are actually local flow diffeomorphisms of Killing vector fields and thus generate these vector fields. For a spherically symmetric spacetime , there are precisely 3 rotational Killing vector fields. Stated in another way, the dimension of the Killing algebra is 3 .It is known (see Birkhoff's theorem) that any spherically symmetric solution of the vacuum field equations is necessarily isometric to a subset of the maximally extended Schwarzschild solution. This means that the exterior region around a spherically symmetric gravitating object must be static and asymptotically flat.".
- Spherically_symmetric_spacetime wikiPageID "2128649".
- Spherically_symmetric_spacetime wikiPageRevisionID "546518295".
- Spherically_symmetric_spacetime hasPhotoCollection Spherically_symmetric_spacetime.
- Spherically_symmetric_spacetime subject Category:Lorentzian_manifolds.
- Spherically_symmetric_spacetime type Artifact100021939.
- Spherically_symmetric_spacetime type Conduit103089014.
- Spherically_symmetric_spacetime type LorentzianManifolds.
- Spherically_symmetric_spacetime type Manifold103717750.
- Spherically_symmetric_spacetime type Object100002684.
- Spherically_symmetric_spacetime type Passage103895293.
- Spherically_symmetric_spacetime type PhysicalEntity100001930.
- Spherically_symmetric_spacetime type Pipe103944672.
- Spherically_symmetric_spacetime type Tube104493505.
- Spherically_symmetric_spacetime type Way104564698.
- Spherically_symmetric_spacetime type Whole100003553.
- Spherically_symmetric_spacetime type YagoGeoEntity.
- Spherically_symmetric_spacetime type YagoPermanentlyLocatedEntity.
- Spherically_symmetric_spacetime comment "A spherically symmetric spacetime is a spacetime whose isometry group contains a subgroup which is isomorphic to the (rotation) group and the orbits of this group are 2-dimensional spheres (2-spheres). The isometries are then interpreted as rotations and a spherically symmetric spacetime is often described as one whose metric is "invariant under rotations". The spacetime metric induces a metric on each orbit 2-sphere (and this induced metric must be a multiple of the metric of a 2-sphere).".
- Spherically_symmetric_spacetime label "Espaço-tempo esfericamente simétrico".
- Spherically_symmetric_spacetime label "Spherically symmetric spacetime".
- Spherically_symmetric_spacetime sameAs Espaço-tempo_esfericamente_simétrico.
- Spherically_symmetric_spacetime sameAs m.06p2d4.
- Spherically_symmetric_spacetime sameAs Q7576722.
- Spherically_symmetric_spacetime sameAs Q7576722.
- Spherically_symmetric_spacetime sameAs Spherically_symmetric_spacetime.
- Spherically_symmetric_spacetime wasDerivedFrom Spherically_symmetric_spacetime?oldid=546518295.
- Spherically_symmetric_spacetime isPrimaryTopicOf Spherically_symmetric_spacetime.