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Four dimensional string solutions in Hov{r}ava-Lifshitz gravity | | Inyong Cho
; Gungwon Kang
; | | Date: |
16 Sep 2009 | | Abstract: | We investigate string-like solutions in four dimensions based on
Hov{r}ava-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 Hov{r}ava-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 Hov{r}ava-Lifshitz
gravity. It turns out that if $lambda
e 1$, there exist no other solutions.
For the value of model parameter with which Einstein gravity recovers in IR
limit (i.e., $lambda=1$), 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. | | Source: | arXiv, 0909.3065 | | Services: | Forum | Review | PDF | Favorites | |
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