An anti-Schwarzshild solution: wormholes and scalar-tensor solutions

Understand

We investigate a static solution with an hyperbolic nature, characterised by a pseudo-spherical foliation of space.

• This space-time metric can be perceived as an anti-Schwarzschild solution, and exhibits repulsive features.
• It belongs to the class of static vacuum solutions termed "a degenerate static solution of class A".
• In the present work we review its fundamental features, discuss the existence of generalised wormholes, and derive its extension to scalar-tensor gravity theories in general.