Black holes in ultraviolet-complete Ho?ava gravity

نویسندگان

چکیده

Ho\ifmmode \check{r}\else \v{r}\fi{}ava gravity is a proposal for completing general relativity in the ultraviolet by interactions that violate Lorentz invariance at very high energies. We focus on ($2+1$)-dimensional projectable gravity, theory which renormalizable and perturbatively ultraviolet-complete, enjoying an asymptotically free fixed point. Adding small cosmological constant to regulate long-distance behavior of metric, we search all circularly symmetric stationary vacuum solutions with vanishing angular momentum approaching de Sitter metric possible angle deficit infinity. find two-parameter family such geometries. Apart from horizon, these generally contain another Killing horizon should therefore be interpreted as black holes viewpoint low-energy theory. Contrary naive expectations, their central singularity not resolved higher derivative terms present action. It unknown if form result gravitational collapse. The only solution regular everywhere just devoid any hole horizon.

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ژورنال

عنوان ژورنال: Physical review

سال: 2021

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physrevd.103.104007