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arXiv · 1009.1201

Surplus Angle and Sign-flipped Coulomb Force in Projectable Horava-Lifshitz Gravity

Hang Bae Kim·Yoonbai Kim
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Abstract

We obtain the static spherically symmetric vacuum solutions of Horava-Lifshitz gravity theory, imposing the detailed balance condition only in the UV limit. We find the solutions in two different coordinate systems, the Painlevé-Gullstrand coordinates and the Poincare coordinates, to examine the consequences of imposing the projectability condition. The solutions in two coordinate systems are distinct due to the non-relativistic nature of the HL gravity. In the Painleve-Gullstrand coordinates complying with the projectability condition, the solution involves an additional integration constant which yields surplus angle and implies attractive Coulomb force between same charges.

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Hang Bae Kim, Yoonbai Kim. 2010-10-19. Surplus Angle and Sign-flipped Coulomb Force in Projectable Horava-Lifshitz Gravity. https://doi.org/10.1103/physrevd.82.103512

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