Wormholes in Einstein-scalar-Gauss-Bonnet theories with a scalar self-interaction potential
Rustam Ibadov (1), Burkhard Kleihaus (2), Jutta Kunz (2), Sardor, Murodov (1) ((1) Samarkand State University, (2) University of Oldenburg)

TL;DR
This paper constructs and analyzes wormholes within Einstein-scalar-Gauss-Bonnet theories incorporating scalar potentials, revealing how self-interactions expand the parameter space and affect wormhole geometries and properties.
Contribution
It introduces new wormhole solutions in Einstein-scalar-Gauss-Bonnet theories with scalar self-interactions, detailing their physical characteristics and existence conditions.
Findings
Self-interactions significantly enlarge the domain of wormhole solutions.
Existence of wormholes with single throat and double throat configurations.
Determination of mass, size, and geometric properties of the wormholes.
Abstract
We construct wormholes in Einstein-scalar-Gauss-Bonnet theories with a potential for the scalar field that includes a mass term and self-interaction terms. By varying the Gauss-Bonnet coupling constant we delimit the domain of existence of wormholes in these theories. The presence of the self-interaction enlarges the domain of existence significantly. There arise wormholes with a single throat and wormholes with an equator and a double throat. We determine the physical properties of these wormholes including their mass, their size and their geometry.
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