Anisotropic interior solutions and Buchdahl’s limit in the context of gravitational decoupling
The stellar evolution is a process through which a star changes along the time depending mainly of its mass. In this context, there exists a condition known as the Buchdahl’s limit which describes the amount of mass that a spherically compact object can have before undergoing into gravitational coll...
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | bachelorThesis |
| Lenguaje: | eng |
| Publicado: |
2020
|
| Materias: | |
| Acceso en línea: | http://repositorio.yachaytech.edu.ec/handle/123456789/172 |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
Agregar Etiqueta | Sumario: | The stellar evolution is a process through which a star changes along the time depending mainly of its mass. In this context, there exists a condition known as the Buchdahl’s limit which describes the amount of mass that a spherically compact object can have before undergoing into gravitational collapse. In other words, the Buchdahl’s limit give us an idea about the minimum radius that delimits a star under certain conditions. This kind of systems have been studied in terms of an extended version of the well known isotropic interior solutions, which corresponds to the study of anisotropic solutions. Anisotropic sources can be included by means of the gravitational decoupling using the Minimal Geometric Deformation method (MGD) to understand better the properties of this more realistic stellar systems under different field conditions. With the gravitational decoupling byMGDwe can start from a simple spherically symmetric gravitational source and add to it more and more complex gravitational sources, as long as the spherical symmetry is preserved. The aim of the present project is to know whether the Buchdahl’s limit is modified by applying the gravitational decoupling by MGD method to compact objects. To accomplish the purpose of this research, the Tolman IV interior solution was studied where bounds and conditions over its parameters were applied to let a plausible solution. It was found that MGD allows to map unstable isotropic solutions to anisotropic stable configurations with extra packing of mass. |
|---|