Some applications of globally framed structures to relativity (Q1262545)

The author considers a real 4-dimensional space-time manifold (V,g) endowed with an f(3,-1)-structure, i.e., a tensor field f of type (1,1) on V with constant rank 2 and satisfying \(f^ 3-f=0\). If the Lorentzian metric g is adapted to f, i.e., \(g(fX,Y)+g(X,fY)=0\), then V is called a Lorentzian framed (LF) space-time. If, further, there exists a non-null simple electromagnetic field F satisfying certain conditions, then V is called a Lorentzian Maxwellian framed (LMF) space-time. The author proves that there exists a 2-parameter Abelian group of affine conformal motions on a class of LMF space-times. This result is used to study the problem of finding various types of inheriting electromagnetic field plus perfect fluid solutions.