Abstract
We construct scalarized wormholes with a NUT charge in higher curvature theories. We consider both Einstein-scalar-Gauss-Bonnet and Einstein-scalar-Chern-Simons theories, following Brihaye, Herdeiro and Radu, who recently studied spontaneously scalarised Schwarzschild-NUT solutions. By varying the coupling parameter and the scalar charge we determine the domain of existence of the scalarized nutty wormholes, and their dependence on the NUT charge. In the Gauss-Bonnet case the known set of scalarized wormholes is reached in the limit of vanishing NUT charge. In the Chern-Simons case, however, the limit is peculiar, since with vanishing NUT charge the coupling constant diverges. We focus on scalarized nutty wormholes with a single throat and study their properties. All these scalarized nutty wormholes feature a critical polar angle, beyond which closed timelike curves are present.
Highlights
In order to solve the coupled Einstein and scalar field equations numerically we introduce the inverse radial coordinate x = 1/r
We address the domain of existence of these nutty wormhole solutions
Following the reasoning of Brihaye et al [46], who have studied spontaneously scalarized Schwarzschild-NUT solutions, whose scalarization is caused by the presence of either a GB term or a CS term in the scalar field equation, we have investigated scalarized nutty wormhole solutions in these higher curvature theories
Summary
The spontaneously scalarized Schwarzschild-NUT solutions of [46] represent one of the boundaries of the domain of existence of the scalarized nutty wormholes. These include, in particular, the profile functions for the scalarized nutty wormhole solutions, the violation of the NEC, the domain of existence with its outer boundaries, and an analysis of the junction conditions for the thin shell of matter at the throat. Dimensional Levi-Civita tensor ηρσκλ = ργστ/ −g While both invariants are topological in four dimensions, the coupling to the scalar field φ via the coupling function F(φ) provides significant contributions to the equations of motion. In order to obtain scalarized nutty wormhole solutions, we need to impose an appropriate set of boundary conditions for the ODEs, which we address.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
