Non-singular solutions to Einstein-Klein-Gordon equations with a phantom scalar field
Vladimir Dzhunushaliev, Vladimir Folomeev, Ratbay Myrzakulov and, Douglas Singleton
TL;DR
This paper demonstrates the existence of non-singular, spherically symmetric solutions to the Einstein-Klein-Gordon equations with a phantom scalar field, but finds these solutions to be unstable through stability analysis.
Contribution
It introduces non-singular solutions to Einstein-Klein-Gordon equations involving a phantom scalar field, expanding understanding of such exotic configurations.
Findings
Existence of non-singular, spherically symmetric solutions
Solutions exhibit features similar to other gravity-field configurations
Stability analysis shows these solutions are unstable
Abstract
It is shown that the 4D Einstein-Klein-Gordon equations with a phantom scalar field (a scalar field with a negative sign in front of the kinetic energy term of its Lagrange density) has non-singular, spherically symmetry solutions. These solutions have a combination of features found in other spherically symmetric gravity plus field solutions. A stability analysis on these solutions indicates they are unstable.
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