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arXiv · 0909.3065

Four dimensional string solutions in Hořava-Lifshitz gravity

Inyong Cho·Gungwon Kang
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Abstract

We investigate string-like solutions in four dimensions based on Hořava-Lifshitz gravity. For a restricted class of solutions where the Cotton tensor vanishes, we find that the string-like solutions in Einstein gravity including the BTZ black strings are solutions in Hořava-Lifshitz gravity as well. The geometry is warped in the same way as in Einstein gravity, but the "conformal" lapse function is not constrained in Hořava-Lifshitz gravity. It turns out that if $λ\ne 1$, there exist no other solutions. For the value of model parameter with which Einstein gravity recovers in IR limit (i.e., $λ=1$), there exists an additional solution of which the conformal lapse function is determined. Interestingly, this solution admits a uniform BTZ black string along the string direction, which is distinguished from the warped BTZ black string in Einstein gravity. Therefore, it is a good candidate for the test of the theory.

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Inyong Cho, Gungwon Kang. 2009-10-04. Four dimensional string solutions in Hořava-Lifshitz gravity. https://doi.org/10.1007/jhep07(2010)034

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