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Scalar field
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== Other kinds of fields == * [[Vector field]]s, which associate a [[vector (geometry)|vector]] to every point in space. Some examples of [[vector field]]s include the air flow ([[wind]]) in meteorology.<!-- the Newtonian gravitational field.{{dubious|date=May 2020|reason=Newtonian gravitation described as scalar in prior §; the writer may have intended the [[Post-Newtonian expansion]]s developed from General Relativity.}} --> * [[Tensor field]]s, which associate a [[tensor]] to every point in space. For example, in [[general relativity]] gravitation is associated with the tensor field called [[Einstein tensor]]. In [[Kaluza–Klein theory]], spacetime is extended to five dimensions and its [[Riemann curvature tensor]] can be separated out into ordinary [[dimension|four-dimensional]] gravitation plus an extra set, which is equivalent to [[Maxwell's equations]] for the [[electromagnetic field]], plus an extra scalar field known as the "[[dilaton]]".{{citation needed|date=June 2012}} (The [[dilaton]] scalar is also found among the massless bosonic fields in [[string theory]].)
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