论文标题

Horava-Lifshitz重力中的欧几里得虫洞

Euclidean Wormholes in Horava-Lifshitz Gravity

论文作者

Garcia-Compean, H., Vazquez, Alberto

论文摘要

我们在Horava-Lifshitz重力理论的框架中研究欧几里得虫洞。欧几里得虫洞首先出现在欧几里得路径积分方法中的量子重力方法中。以更通用的方式,霍金和页面解释了具有适当边界条件的Wheeler-Dewitt方程的解决方案。我们使用Horava-Lifshitz重力的可预测版本来获得Minisuperspace模型的Wheeler-Dewitt方程,考虑到封闭的Friedmann宇宙以及无质量的标量场。对于大量比例因子,我们发现Wheeler-Dewitt方程的解决方案与霍金获得的解决方案相吻合。在与早期宇宙相对应的极限中,我们找到了一套新的解决方案,这些解决方案与虫洞的鹰孔和页面边界条件一致。

We study Euclidean wormholes in the framework of the Horava-Lifshitz theory of gravity. Euclidean wormholes first appeared in the Euclidean path integral approach to quantum gravity. In a more general way, Hawking and Page interpreted such configurations as solutions to the Wheeler-DeWitt equation with appropriate boundary conditions. We use the projectable version of Horava-Lifshitz gravity to obtain the Wheeler-DeWitt equation of a minisuperspace model considering a closed Friedmann Universe plus a massless scalar field. For large values of the scale factor we find that the solution of the Wheeler-DeWitt equation coincides with the one obtained by Hawking. Whereas in the limit corresponding to the early Universe we find a new set of solutions, which agree with the Hawking and Page boundary conditions for wormholes.

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