Abstract
We present a solution generating technique for anisotropic fluids which preserves specific Killing symmetries. Anisotropic matter distributions that can be used with the one parameter Ehlers–Geroch transform are discussed. Example space–times that support the appropriate anisotropic stress-energy are found and the transformation applied. The 3+1 black string solution is one of the space–times with the appropriate matter distribution. Use of the transform with a black string seed is discussed.
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