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arXiv · 2108.04056

Surface gravity of compact non-degenerate horizons under the dominant energy condition

Sebastian Gurriaran·Ettore Minguzzi
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Abstract

We prove that under the dominant energy condition any non-degenerate smooth compact totally geodesic horizon admits a smooth tangent vector field of constant non-zero surface gravity. This result generalizes previous work by Isenberg and Moncrief, and by Bustamante and Reiris to the non-vacuum case, the vacuum case being given a largely independent proof. Moreover, we prove that any such achronal non-degenerate horizon is actually a Cauchy horizon bounded on one side by a chronology violating region.

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Sebastian Gurriaran, Ettore Minguzzi. 2021-08-09. Surface gravity of compact non-degenerate horizons under the dominant energy condition. https://doi.org/10.1007/s00220-022-04440-8

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