Static Charged Black Hole Solutions in Horava-Lifshitz Gravity

Abstract

In the present work, we search static charged black hole solutions to Horava-Lifshitz gravity with or without projectability condition. We consider the most general form of action which electromagnetic field couples with Horava-Lifshitz gravity. With the projectability condition, we find dS-Reissner-Nordstrom black hole solution in Painlev\'e-Gullstrand type coordinates in the IR region and a de-Sitter space-time solution in the UV region. Without the projectability condition, in the IR region, we find an especial static charged black hole solution.

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