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== References == == References ==


{{Book reference | Author=Stephani, Hans; Kramer, Dietrich; Maccallum, Malcolm; Hoenselaers, Cornelius; & Herlt, Eduard | Title=Exact Solutions of Einstein's Field Equations| Publisher=Cambridge: Cambridge University Press | Year=2003 | ID=ISBN 0-521-46136-7}} * {{Book reference | Author=Stephani, Hans; Kramer, Dietrich; Maccallum, Malcolm; Hoenselaers, Cornelius; & Herlt, Eduard | Title=Exact Solutions of Einstein's Field Equations| Publisher=Cambridge: Cambridge University Press | Year=2003 | ID=ISBN 0-521-46136-7}}

Revision as of 03:16, 29 May 2005

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

T a b = Φ k a k b {\displaystyle T_{ab}=\Phi k_{a}k_{b}}

where Φ {\displaystyle \Phi } is a scalar field and k a {\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)