EXISTENCE OF CLASSICAL SOLUTIONS IN THE EINSTEIN-SKYRME MODEL

• Main Author: Syahreza Fadhilla, Emir
• Format: Dissertations
• Language: Indonesia
• Online Access: https://digilib.itb.ac.id/gdl/view/81903
• Institution: Institut Teknologi Bandung

The interaction between scalar fields and gravity within Einstein’s General Theory of Re- lativity is a widely studied topic due to its applications in the effective modelling of stars and cosmology. The Skyrme model, an extension of the nonlinear sigma model with non- standard kinetic terms, has been extensively used to model various exotic objects such as Skyrme black holes, stars, and D-brane solitons. This dissertation investigates the existence and properties of classical solutions in the Einstein-Skyrme model, which describes gravity with matter represented by the Skyrme field, for various phenomena ranging from baryonic particle-filled stars to cosmology. The research reveals that the stability problem of sta- tic solutions can be reduced to a Sturm-Liouville eigenvalue problem, and the topological properties of the Skyrme field play a crucial role in the existence of unique solutions for gravitating Skyrmion systems with spherical symmetry. This topological feature is a novel aspect not found in previous scalar field-gravity models, such as the Einstein-Klein-Gordon model. Furthermore, it is found that the inflaton model with the Klein-Gordon scalar is a low-energy limit of the Skyrme cosmology model, which is a dynamic extension of the Skyrme brane model. This correspondence indicates that the inflaton potential is determi- ned by the Skyrmion profile in the extra dimensions. Thus, this research contributes to a better understanding of the relationship between scalar fields, gravity, and broader cosmo- logical phenomena.