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A null dust solution is an exact solution of Einstein's field equation in which the Einstein tensor is null. The corresponding condition on the stress-energy tensor can be written

${\displaystyle T_{ab}=\Phi k_{a}k_{b}}$

where ${\displaystyle \Phi }$ is a scalar field and ${\displaystyle k_{a}}$ is any null vector field.

Physically speaking, this means that a null dust describes either gravitational radiation, or some kind of nongravitational radiation which is described by a relativistic classical field theory (such as electromagnetic radiation), or a combination of these two. Null dusts include vacuum solutions as a special case.

References

• . ISBN 0-521-46136-7. {{cite book}}: Missing or empty |title= (help); Unknown parameter |Author= ignored (|author= suggested) (help); Unknown parameter |Publisher= ignored (|publisher= suggested) (help); Unknown parameter |Title= ignored (|title= suggested) (help); Unknown parameter |Year= ignored (|year= suggested) (help)

• General relativity