SKYRMION DAN MODEL EINSTEIN-SKYRME DALAM DIMENSI LIMA
In this research, the Skyrme model in a five-dimensional flat spacetime and its coupling effect with gravity through the Einstein-Skyrme model is studied. The exact solution of Skyrmion in flat space-time is obtained by solving the Bogomolny equations which are obtained by using the BPS Lagrangia...
Saved in:
| Main Author: | |
|---|---|
| Format: | Final Project |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/49115 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | In this research, the Skyrme model in a five-dimensional flat spacetime and its coupling
effect with gravity through the Einstein-Skyrme model is studied. The exact solution
of Skyrmion in flat space-time is obtained by solving the Bogomolny equations which
are obtained by using the BPS Lagrangian method. Properties of the solution for
the Einstein-Skyrme model are obtained via variational principle on the Skyrme model
Lagrangian which is coupled to the Einstein-Hilbert Lagrangian. Analysis of the
resulting differential equations is carried out on the boundaries. It is found that in the
flat space-time, there is a spherical symmetric submodel which solution is compacton,
that is submodel with the octic term, and an extension to the quartic term submodel in
the form of non-spherical symmetric solution. Furthermore, for the Einstein-Skyrme
Model, it is found that the Ricci Scalar is converge when physical condition such as
convergence of speed of light and mass convergence is imposed. This quantity which
mass function converge to is related to the total energy of kinetic term. Another finding
is that boundary condition of the functions near horizon is directly related to the
cosmological constant and the difference of potential value on both boundaries of r |
|---|