Charged perfect fluid configurations with a dilaton field

TL;DR

This paper explores static charged perfect fluid models with a dilaton field, providing methods for constructing interior solutions and analyzing extreme configurations, including explicit examples and their matching to external solutions.

Contribution

It introduces a new method for constructing interior solutions with a dilaton field and analyzes extreme charged fluid configurations, reducing complex equations to single nonlinear forms.

Findings

Explicit interior solutions matching external dilaton solutions.

Identification of two types of extreme configurations.

Reduction of field equations to single nonlinear equations.

Abstract

We examine static charged perfect fluid configurations in the presence of a dilaton field. A method for construction of interior solutions is given. An explicit example of an interior solution which matches continuously the external Gibbons-Maeda-Garfinkle-Horowitz-Strominger solution is presented. Extremely charged perfect fluid configurations with a dilaton are also examined. We show that there are two types of extreme configurations. For each type the field equations are reduced to a single nonlinear equation on a space of a constant curvature. In the particular case of a perfect fluid with a linear equation of state, the field equations of the first type configurations are reduced to a Helmlotz equation on a space with a constant curvature. An explicit example of an extreme configuration is given and discussed.