We discuss particle production in spacetimes endowed with a universal horizon in Einstein-aether and Hořava gravity. We argue that continuity and differentiability of the lapse function require the orientation of the foliation in the interior of the horizon to be reversed with respect to the exterior one. Unless this is allowed, interaction of gravitating scalar fields with the universal horizon leads to unitarity violations in the quantum theory. This property is responsible for particle production by the universal horizon, as we show by computing explicitly its Hawking temperature for all stationary and spherically symmetric spacetimes. We particularize our result to known analytic solutions, including those compatible with observational constraints.

Time orientability and particle production from universal horizons / Del Porro, F.; Herrero-Valea, M.; Liberati, S.; Schneider, M.. - In: PHYSICAL REVIEW D. - ISSN 2470-0010. - 105:10(2022), pp. 1-6. [10.1103/PhysRevD.105.104009]

Time orientability and particle production from universal horizons

Del Porro, F.;Liberati, S.;
2022-01-01

Abstract

We discuss particle production in spacetimes endowed with a universal horizon in Einstein-aether and Hořava gravity. We argue that continuity and differentiability of the lapse function require the orientation of the foliation in the interior of the horizon to be reversed with respect to the exterior one. Unless this is allowed, interaction of gravitating scalar fields with the universal horizon leads to unitarity violations in the quantum theory. This property is responsible for particle production by the universal horizon, as we show by computing explicitly its Hawking temperature for all stationary and spherically symmetric spacetimes. We particularize our result to known analytic solutions, including those compatible with observational constraints.
2022
105
10
1
6
104009
https://arxiv.org/abs/2201.03584
Del Porro, F.; Herrero-Valea, M.; Liberati, S.; Schneider, M.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/137534
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