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Membrane solutions to Hořava gravity

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Abstract

We have investigated purely gravitational membrane solutions to the Hořava nonrelativistic theory of gravity with detailed balance in 3 + 1 dimensions. We find that for arbitrary values of the running parameter λ > 1/3 there exist two branches of membrane solutions, and that in the special case λ = 1 one of them is degenerate, the lapse function being undetermined. For negative values of the cosmological constant, the solution contains a single membrane sitting at the center of space, which extends infinitely in the transverse direction, approaching a Lifshitz metric. For positive values of the cosmological constant, the solution represents a space that is bounded in the transverse direction, with two parallelmembrane-like or point-like singularities sitting at each of the boundaries.

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Authors and Affiliations

  1. Departamento de Física—UNLP, cc67, CP1900, La Plata, Argentina

    Carlos R. Argüelles

  2. IFLP—CONICET and Departamento de Física—UNLP, cc67, CP1900, La Plata, Argentina

    Nicolás E. Grandi

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  1. Carlos R. Argüelles
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  2. Nicolás E. Grandi
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Correspondence to Carlos R. Argüelles.

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Argüelles, C.R., Grandi, N.E. Membrane solutions to Hořava gravity. Gravit. Cosmol. 23, 349–358 (2017). https://doi.org/10.1134/S020228931704003X

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