Saved in:
| Main Author: | |
|---|---|
| Format: | Artículo científico |
| Language: | en |
| Published: |
Universidad Nacional Autónoma de México
2022
|
| Subjects: | |
| Online Access: | https://www.redalyc.org/articulo.oa?id=57175502013 https://www.redalyc.org/journal/571/57175502013/ https://www.redalyc.org/journal/571/57175502013/html/ https://www.redalyc.org/journal/571/57175502013/57175502013.epub https://www.redalyc.org/journal/571/57175502013/movil |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- Ann and Analytical Solutions to Relativistic Isothermal Gas Spheres Mohamed I. Nouh Yosry A. Azzam Emad A-B Abdel-Salam Farag I. Elnagahy Tarek M. Kamel Física, Astronomía y Matemáticas stars: interiors Methods: analytical methods: miscellaneous relativistic processes Relativistic isothermal gas spheres are a powerful tool to model many astronomical objects, like compact stars and clusters of galaxies. In the present paper, we introduce an artificial neural network (ANN) algorithm and Taylor series to model the relativistic gas spheres using Tolman-Oppenheimer-Volkoff differential equations (TOV). Comparing the analytical solutions with the numerical ones revealed good agreement with maximum relative errors of 10−3. The ANN algorithm implements a three-layer feed-forward neural network built using a back-propagation learning technique that is based on the gradient descent rule. We analyzed the massradius relations and the density profiles of the relativistic isothermal gas spheres against different relativistic parameters and compared the ANN solutions with the analytical ones. The comparison between the two solutions reflects the efficiency of using the ANN to solve TOV equations. 2022 artículo científico 0185-1101 https://www.redalyc.org/articulo.oa?id=57175502013 https://www.redalyc.org/journal/571/57175502013/ https://www.redalyc.org/journal/571/57175502013/html/ https://www.redalyc.org/journal/571/57175502013/57175502013.epub https://www.redalyc.org/journal/571/57175502013/movil 10.22201/ia.01851101p.2022.58.02.13 en http://www.redalyc.org/revista.oa?id=571 Revista Mexicana de Astronomía y Astrofísica application/pdf Universidad Nacional Autónoma de México Revista Mexicana de Astronomía y Astrofísica (México) Num.2 Vol.58