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A vacuum solution is a solution of a field equation in which the sources of the field are taken to be identically zero.

For example, in Maxwell's theory of electromagnetism, a vacuum solution would represent the electromagnetic field in a region of space where there are no electromagnetic sources (charges and electric currents), i.e. where the current 4-vector vanishes:

- $J^a=0$

Another example is Einstein's theory of general relativity where a vacuum solution would represent the gravitational field in a region of spacetime where there are no gravitational sources (masses), i.e. where the energy-momentum tensor vanishes:

- $T\_\{ab\}=0$

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Last updated on Wednesday August 10, 2005 at 18:55:08 PDT (GMT -0700)

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This article is licensed under the GNU Free Documentation License.

Last updated on Wednesday August 10, 2005 at 18:55:08 PDT (GMT -0700)

View this article at Wikipedia.org - Edit this article at Wikipedia.org - Donate to the Wikimedia Foundation

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