Membrane solutions to Hořava gravity

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...

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Bibliographic Details
Published in:Gravitation & cosmology 2017-10, Vol.23 (4), p.349-358
Main Authors: Argüelles, Carlos R., Grandi, Nicolás E.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Astroparticles
Classical and Quantum Gravitation
Cosmological constant
Gravitation theory
Observations and Techniques
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Singularities
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Summary: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.
ISSN:0202-2893
1995-0721
DOI:10.1134/S020228931704003X