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Stability of spherical thin-shell wormholes in scalar-tensor theories

Ernesto F. Eiroa, Griselda Figueroa-Aguirre, Vasiliki Karanasou

TL;DR

This paper develops a framework to construct and analyze thin-shell wormholes in scalar-tensor theories with non-minimal coupling to gravity. By employing a cut-and-paste junction formalism and focusing on symmetric throats, the authors derive a tractable stability condition via an effective potential V(a) and demonstrate that, in general, exotic matter is required at the throat unless the effective gravitational coupling sign is reversed. They instantiate the framework with Einstein-Maxwell theory conformally coupled to a scalar field, obtaining hairy Reissner-Nordstrm solutions, and identify parameter regimes where stable, traversable wormholes exist, while outlining the trade-off between throat exotica and bulk energy conditions. The work highlights a close relation between scalar-tensor wormholes and F(R) gravity structures and opens avenues to explore non-symmetric cases that might mitigate exotic matter requirements.

Abstract

In this article, we construct a family of spherically symmetric thin-shell wormholes within scalar-tensor theories of gravity. In the case of wormholes symmetric across the throat, we study the matter content and analyze the stability of the static configurations under radial perturbations. We apply the formalism to a particular example involving Einstein-Maxwell gravity coupled to a conformally invariant scalar field. We show that stable configurations are possible for suitable values of the parameters involved.

Stability of spherical thin-shell wormholes in scalar-tensor theories

TL;DR

This paper develops a framework to construct and analyze thin-shell wormholes in scalar-tensor theories with non-minimal coupling to gravity. By employing a cut-and-paste junction formalism and focusing on symmetric throats, the authors derive a tractable stability condition via an effective potential V(a) and demonstrate that, in general, exotic matter is required at the throat unless the effective gravitational coupling sign is reversed. They instantiate the framework with Einstein-Maxwell theory conformally coupled to a scalar field, obtaining hairy Reissner-Nordstrm solutions, and identify parameter regimes where stable, traversable wormholes exist, while outlining the trade-off between throat exotica and bulk energy conditions. The work highlights a close relation between scalar-tensor wormholes and F(R) gravity structures and opens avenues to explore non-symmetric cases that might mitigate exotic matter requirements.

Abstract

In this article, we construct a family of spherically symmetric thin-shell wormholes within scalar-tensor theories of gravity. In the case of wormholes symmetric across the throat, we study the matter content and analyze the stability of the static configurations under radial perturbations. We apply the formalism to a particular example involving Einstein-Maxwell gravity coupled to a conformally invariant scalar field. We show that stable configurations are possible for suitable values of the parameters involved.

Paper Structure

This paper contains 5 sections, 56 equations, 1 figure.

Table of Contents

  1. Introduction
  2. Wormhole construction
  3. Stability of wormholes symmetric across the throat
  4. Wormholes with a radial electric field
  5. Conclusions

Figures (1)

  • Figure 1: Stability of a spherical thin-shell wormholes symmetric across the throat, in Einstein-Maxwell theory with a conformally coupled and constant scalar field, for different values of the hair parameter $s/m^2$, with $m$ the mass. The solid line represents the stable static configurations with radius $a_0/m$ and charge $Q/m$, while the dashed line shows the unstable solutions. The dark gray regions have no physical meaning (see text) and in the light gray ones the scalar field is not real.