English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Tools annual

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Presents the access of premium content as premium feature

Premium Content

Global: Zendy Plus annual

Global: Zendy Free Plan

In this paper we investigate wormhole and spherically symmetric solutions in4D gravity plus a matter source consisting of a ghost scalar field with asine-Gordon potential. For the wormhole solutions we also include thepossibility of electric and/or magnetic charges. For both types of solutions weperform a linear stability analysis and show that the wormhole solutions arestable and that when one turns on the electric and/or magnetic field thesolution remains stable. The linear stability analysis of the sphericallysymmetric solutions indicates that they can be stable or unstable depending onone of the parameters of the system. This result for the spherically symmetricsolution is nontrivial since a previous investigation of 4D gravity plus aghost scalar field with a $\lambda \phi ^4$ interaction found only unstablespherically symmetric solutions. Both the wormhole and spherically symmetricsolutions presented here asymptotically go to anti-de-Sitter space-time.

On the stability of spherically symmetric and wormhole solutions supported by the sine-Gordon ghost scalar field