Wormholes leading to extra dimensions
- Authors: Bronnikov K.A.1,2,3, Skvortsova M.V.2
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Affiliations:
- VNIIMS
- Peoples’ Friendship University of Russia
- National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
- Issue: Vol 22, No 4 (2016)
- Pages: 316-322
- Section: Article
- URL: https://journals.rcsi.science/0202-2893/article/view/176043
- DOI: https://doi.org/10.1134/S0202289316040058
- ID: 176043
Cite item
Abstract
In 6D general relativity with a scalar field as a source of gravity, a new type of static wormhole solutions is presented: such wormholes connect our universe with a small 2D extra subspace with a universe where this extra subspace is large, and the whole space-time is effectively 6-dimensional. We consider manifolds with the structure M0 × M1 × M2, where M0 is 2D Lorentzian space-time while each of M1,2 can be a 2-sphere or a 2-torus. After selecting possible asymptotic behaviors of the metric functions compatible with the field equations, we give two explicit examples of wormhole solutions with spherical symmetry in our space-time and toroidal extra dimensions. In one example, with a massless scalar field (it is a special case of a well-known more general solution), the extra dimensions have a large constant size at the “far end”; the other example contains a nonzero potential V(φ) which provides a 6D anti-de Sitter asymptotic, where all spatial dimensions are infinite.
About the authors
K. A. Bronnikov
VNIIMS; Peoples’ Friendship University of Russia; National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)
Author for correspondence.
Email: kb20@yandex.ru
Russian Federation, Ozyornaya ul. 46, Moscow, 119361; ul. Miklukho-Maklaya 6, Moscow, 117198; Moscow, 115409
M. V. Skvortsova
Peoples’ Friendship University of Russia
Email: kb20@yandex.ru
Russian Federation, ul. Miklukho-Maklaya 6, Moscow, 117198