Speaker
Prof.
Kirill Bronnikov
(VNIIMS)
Description
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. We consider manifolds
with the structure M0 x M1 x M2, where M0 is 2D Lorentzian space-time while each of M1 and M2 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 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 scalar field potential which provides a 6D anti-de Sitter asymptotic behavior, where all spatial dimensions are infinite.
Primary author
Prof.
Kirill Bronnikov
(VNIIMS)
Co-authors
Dr.
Milena Skvortsova
(RUDN University)
