Bremen 2017 – scientific programme

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GR: Fachverband Gravitation und Relativitätstheorie

GR 6: Relativistische Astrophysik

GR 6.5: Talk

Tuesday, March 14, 2017, 15:20–15:40, SFG 0140

Carter constant and Killing tensors for fluids — •Vojtěch Witzany — ZARM, Universität Bremen, Germany

One of the surprises of the “golden age of general relativity” was the fact that the space-time of an isolated spinning black hole, the Kerr space-time, has an unexpected non-explicit symmetry which manifests itself in the existence of a Killing(-Yano) tensor and the integrability of a number of equations for test fields. In this talk we report on the generalization of the concept of a Killing tensor and the corresponding integral of motion, the Carter constant, to perfect-fluid flows in the Kerr space-time.

One notable result is the fact that every Killing tensor in a metric conformally related to the Kerr metric can be understood as a fluid-Killing tensor in a barotropic flow. We construct explicitly a class of such fluid-Killing tensors and demonstrate their applicability in the case of a family of stiff-fluid solutions.