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Is there an example of (2+2)-dimensional flat spacetime with neutral signature (i.e. (+,+,-,-))? ...for example the metric $ds^2=(dt_1)^2+(dt_2)^2-(dx)^2-(dy)^2$, has been studied? Are there any papers in this regard in the literature (i.e. I mean where the authors consider also the flat case)

EDITED QUESTION

  • Possible duplicates: https://physics.stackexchange.com/q/43322/2451 , https://physics.stackexchange.com/q/43630/2451, https://physics.stackexchange.com/q/19802/2451 and links therein. – Qmechanic Aug 01 '18 at 09:29
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    This seems very similar to More than one time dimension. The only difference is that you mention a flat geometry. Could you clarify why a flat spacetime should be special and not covered by the previous question? – John Rennie Aug 01 '18 at 09:43
  • I am interested in knowing if (2+2)-dimensional flat spacetime with neutral signature has been studied and if there are any works in this regard in the literature –  Aug 01 '18 at 14:09

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