Ehlers group

Ehlers group

In mathematical physics, the Ehlers group, named after Jürgen Ehlers, is a finite-dimensional transformation group of stationary vacuum spacetimes which maps solutions of Einstein's field equations to other solutions. It has since found a number of applications, from use as a tool in the discovery of previously unknown solutions to a proof that solutions in the stationary axi-symmetric case form an integrable system. [The original articles are Citation|last=Ehlers|first=J.|author-link=Jürgen Ehlers|title=Konstruktionen und Charakterisierung von Lösungen der Einsteinschen Gravitationsfeldgleichungen|journal=Dissertation|publisher=Hamburg University|year=1957 and Citation|last=Geroch|first=R.|title=A method for generating new solutions of Einstein’s field equation. I|journal=J. Math. Phys.|volume=12|year=1971|pages=918–924; for the applications, Citation|last=Mars|first=Marc|title= Space-time Ehlers group: Transformation law for the Weyl tensor|journal=Class. Quant. Grav.|volume=18|pages=719–738|year=2001.]

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