Non existence of closed and bounded null geodesics in Kerr spacetimes

Abstract

The Kerr-star spacetime is the extension over the horizons and in the negative radial region of the slowly rotating Kerr black hole. It is known that below the inner horizon, there exist both timelike and null (lightlike) closed curves. Nevertheless, we prove that null geodesics can be neither closed nor even contained in a compact subset of the Kerr-star spacetime.

arXiv commentWe extend the previous result ("non existence of closed null geodesics in Kerr spacetimes") proving that the null geodesics cannot be contained in a compact subset of the Kerr-star spacetime

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Cited by in corpus (2)

• Nonexistence of closed timelike geodesics in Kerr spacetimes
• Geodesic causality in Kerr spacetimes with $|a|\ge M$