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Nonexistence of closed timelike geodesics in Kerr spacetimes
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The Kerr-star spacetime is the extension over the horizons and in the negative radial region of the Kerr spacetime. Despite the presence of closed timelike curves below the inner horizon, we prove that the timelike geodesics cannot be closed in the Kerr-star spacetime. Since the existence of closed null geodesics was ruled out by the author in Sanzeni [arXiv:2308.09631v3 (2024)], this result shows the absence of closed causal geodesics in the Kerr-star spacetime.
Title: Nonexistence of closed timelike geodesics in Kerr spacetimes
Description:
The Kerr-star spacetime is the extension over the horizons and in the negative radial region of the Kerr spacetime.
Despite the presence of closed timelike curves below the inner horizon, we prove that the timelike geodesics cannot be closed in the Kerr-star spacetime.
Since the existence of closed null geodesics was ruled out by the author in Sanzeni [arXiv:2308.
09631v3 (2024)], this result shows the absence of closed causal geodesics in the Kerr-star spacetime.
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