Scalar multi-wormholes
Abstract
In 1921 Bach and Weyl derived the method of superposition to construct new axially symmetric vacuum solutions of General Relativity. In this paper we extend the Bach-Weyl approach to non-vacuum configurations with massless scalar fields. Considering a phantom scalar field with the negative kinetic energy, we construct a multi-wormhole solution describing an axially symmetric superposition of wormholes. The solution found is static, everywhere regular and has no event horizons. These features drastically tell the multi-wormhole configuration from other axially symmetric vacuum solutions which inevitably contain gravitationally inert singular structures, such as `struts' and `membranes', that keep the two bodies apart making a stable configuration. However, the multi-wormholes are static without any singular struts. Instead, the stationarity of the multi-wormhole configuration is provided by the phantom scalar field with the negative kinetic energy. Anther unusual property is that the multi-wormhole spacetime has a complicated topological structure. Namely, in the spacetime there exist asymptotically flat regions connected by throats.
Keywords
Cite
@article{arxiv.1603.09552,
title = {Scalar multi-wormholes},
author = {A. I. Egorov and P. E. Kashargin and Sergey V. Sushkov},
journal= {arXiv preprint arXiv:1603.09552},
year = {2016}
}
Comments
11 pages, 13 figures