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

TL;DR

This paper explores a unique static, hyperbolic spacetime solution with anti-Schwarzschild characteristics, examining its fundamental properties, potential wormhole structures, and extensions within scalar-tensor gravity theories.

Contribution

It introduces a novel anti-Schwarzschild solution, analyzes its properties, and extends it to scalar-tensor gravity, highlighting new theoretical insights.

Findings

Identification of a hyperbolic, anti-Schwarzschild spacetime with repulsive features

Discussion of generalized wormhole possibilities within this spacetime

Extension of the solution to scalar-tensor gravity theories

Abstract

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.