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2012

Near horizon black holes in diverse dimensions and integrable models

Galajinsky, Anton

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The near horizon geometry of extremal rotating black hole in arbitrary dimension possesses SO(2,1)xU(n) symmetry in the special case that all n rotation parameters are equal.

We consider a conformal particle associated with such a maximally symmetric configuration and derive from it a new integrable Hamiltonian mechanics with U(n) symmetry.
A further reduction of the model is discussed, which is obtained by discarding cyclic variables.
A variant of the Higgs oscillator and the Poschl-Teller system show up in four and five dimensions, respectively.

Near horizon black holes in diverse dimensions and integrable models · Around

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