Cosmological Brane World Solutions with Bulk Scalar Fields
Stephen C. Davis
TL;DR
This paper develops methods to find cosmological solutions in five-dimensional brane world models with scalar fields, enabling the study of their evolution and potential implications for cosmology.
Contribution
It introduces a combined approach using supergravity-inspired and bulk energy methods to generate comprehensive brane world solutions with scalar fields.
Findings
Derived explicit static solutions with scalar fields
Analyzed cosmological evolution of these solutions
Provided examples illustrating bulk and brane dynamics
Abstract
Cosmological brane world solutions are found for five-dimensional bulk spacetimes with a scalar field. A supergravity inspired method for obtaining static solutions is combined with a method for finding brane cosmologies with constant bulk energies. This provides a way to generate full (bulk and brane) cosmological solutions to brane worlds with bulk scalar fields. Examples of these solutions, and their cosmological evolution, are discussed.
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