Near the horizons of the self-dual Schwarzschild-Taub-NUT solution in Klein space, an infinite-dimensional symmetry algebra of supertranslations and superrotations is shown to exist, with integrable Noether charges.
A note on the area of event horizon of Kleinian black hole
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We point out that the area of event horizon of Kleinian black hole is infinite due to the fact that its event horizon is not a sphere but a hyperboloid. Therefore, the usual interpretations of Schwarzschild black hole might not be applicable to the Kleinian black hole.
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Exploring the Kleinian horizons
Near the horizons of the self-dual Schwarzschild-Taub-NUT solution in Klein space, an infinite-dimensional symmetry algebra of supertranslations and superrotations is shown to exist, with integrable Noether charges.