Space-Time Singularities and the Kahler Cone
Laur Jarv, Christoph Mayer, Thomas Mohaupt, Frank Saueressig
TL;DR
This paper reviews how the structure of the Kahler cone in Calabi-Yau compactifications influences the development of singularities in five-dimensional M-theory space-times, showing that certain solutions avoid naked singularities.
Contribution
It provides a review of recent results demonstrating that moduli within the Kahler cone prevent naked singularities in various five-dimensional solutions.
Findings
Black string, black hole, and domain wall solutions do not develop naked singularities within the Kahler cone.
Kasner type cosmologies also avoid naked singularities when moduli are inside the Kahler cone.
The Kahler cone plays a crucial role in the regularity of space-time solutions in M-theory compactifications.
Abstract
We review recent results on the interplay between the five-dimensional space-time and the internal manifold in Calabi-Yau compactifications of M-theory. Black string, black hole and domain wall solutions as well as Kasner type cosmologies cannot develop a naked singularity as long as the moduli take values inside the Kahler cone.
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