Euclidean Wormholes in Horava-Lifshitz Gravity
Abstract
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.
Keywords
Cite
@article{arxiv.2002.03581,
title = {Euclidean Wormholes in Horava-Lifshitz Gravity},
author = {H. Garcia-Compean and Alberto Vazquez},
journal= {arXiv preprint arXiv:2002.03581},
year = {2020}
}
Comments
23 pages, 5 figures