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- Static_spacetime abstract "In general relativity, a spacetime is said to be static if it admits a global, non-vanishing, timelike Killing vector field which is irrotational, i.e., whose orthogonal distribution is involutive. (Note that the leaves of the associated foliation are necessarily space-like hypersurfaces.) Thus, a static spacetime is a stationary spacetime satisfying this additional integrability condition. These spacetimes form one of the simplest classes of Lorentzian manifolds. Locally, every static spacetime looks like a standard static spacetime which is a Lorentzian warped product R S with a metric of the form,where R is the real line, is a (positive definite) metric and is a positive function on the Riemannian manifold S.In such a local coordinate representation the Killing field may be identified with and S, the manifold of -trajectories, may be regarded as the instantaneous 3-space of stationary observers. If is the square of the norm of the Killing vector field, , both and are independent of time (in fact ). It is from the latter fact that a static spacetime obtains its name, as the geometry of the space-like slice S does not change over time.".
- Static_spacetime wikiPageExternalLink 0406332v2.
- Static_spacetime wikiPageExternalLink StationaryObservers.
- Static_spacetime wikiPageID "1682143".
- Static_spacetime wikiPageRevisionID "593838605".
- Static_spacetime hasPhotoCollection Static_spacetime.
- Static_spacetime subject Category:Lorentzian_manifolds.
- Static_spacetime type Artifact100021939.
- Static_spacetime type Conduit103089014.
- Static_spacetime type LorentzianManifolds.
- Static_spacetime type Manifold103717750.
- Static_spacetime type Object100002684.
- Static_spacetime type Passage103895293.
- Static_spacetime type PhysicalEntity100001930.
- Static_spacetime type Pipe103944672.
- Static_spacetime type Tube104493505.
- Static_spacetime type Way104564698.
- Static_spacetime type Whole100003553.
- Static_spacetime type YagoGeoEntity.
- Static_spacetime type YagoPermanentlyLocatedEntity.
- Static_spacetime comment "In general relativity, a spacetime is said to be static if it admits a global, non-vanishing, timelike Killing vector field which is irrotational, i.e., whose orthogonal distribution is involutive. (Note that the leaves of the associated foliation are necessarily space-like hypersurfaces.) Thus, a static spacetime is a stationary spacetime satisfying this additional integrability condition. These spacetimes form one of the simplest classes of Lorentzian manifolds.".
- Static_spacetime label "Spaziotempo statico".
- Static_spacetime label "Static spacetime".
- Static_spacetime sameAs Spaziotempo_statico.
- Static_spacetime sameAs m.05m_v4.
- Static_spacetime sameAs Q3966116.
- Static_spacetime sameAs Q3966116.
- Static_spacetime sameAs Static_spacetime.
- Static_spacetime wasDerivedFrom Static_spacetime?oldid=593838605.
- Static_spacetime isPrimaryTopicOf Static_spacetime.