The warped product approach to magnetically charged GMGHS spacetime

TL;DR

This paper explores the structure of magnetically charged GMGHS spacetime using warped product techniques, analyzing geodesic motion in different frames to understand its geometric and physical properties.

Contribution

It introduces a warped product approach to analyze the GMGHS spacetime and compares geodesic solutions in string and Einstein frames.

Findings

Warped product framework effectively describes GMGHS interior spacetime.

Geodesic equations differ between string and Einstein frames.

Insights into spacetime structure and particle motion in charged black hole models.

Abstract

In the framework of Lorentzian multiply warped products we study the magnetically charged Gibbons-Maeda-Garfinkle-Horowitz-Strominger (GMGHS) interior spacetime in the string frame. We also investigate geodesic motion in various hypersurfaces, and compare their solutions of geodesic equations with the ones obtained in the Einstein frame.