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arXiv · 1503.05164

Non-conservation of Carter in black hole spacetimes

Alexander Grant·Eanna E. Flanagan
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Abstract

Freely falling point particles in the vicinity of Kerr black holes are subject to a conservation law, that of their Carter constant. We consider the conjecture that this conservation law is a special case of a more general conservation law, valid for arbitrary processes obeying local energy momentum conservation. Under some fairly general assumptions we prove that the conjecture is false: there is no conservation law for conserved stress-energy tensors on the Kerr background that reduces to conservation of Carter for a single point particle.

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Alexander Grant, Eanna E. Flanagan. 2015-03-17. Non-conservation of Carter in black hole spacetimes. https://doi.org/10.1088/0264-9381/32/15/157001

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