Wormholes and black universes communicated with extra dimensions

TL;DR

This paper explores solutions in 6D general relativity with a phantom scalar field, demonstrating transitions from 4D to 6D geometries, including wormholes and black universe models with extra dimensions affecting physical laws.

Contribution

It presents novel 6D solutions that connect 4D and 6D geometries, illustrating how extra dimensions can influence spacetime structures like wormholes and black universes.

Findings

Wormhole solutions with spherical symmetry and toroidal extra dimensions.

Black universe solutions with asymptotically anti-de Sitter black holes.

Transition from 6D to 4D cosmology beyond horizons.

Abstract

In 6D general relativity with a phantom scalar field as a source of gravity, we present solutions that implement a transition from an effective 4D geometry times small extra dimensions to an effectively 6D space-time where the physical laws are different from ours. 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. Some solutions describe wormholes with spherical symmetry in our space-time and toroidal extra dimensions. Others are of black universe type: at one end there is a 6D asymptotically anti-de Sitter black hole while beyond the horizon the geometry tends to a 4D de Sitter cosmology times a small 2D spherical extra space.