A Geometrical Model for the Evolution of Spherical Planetary Nebulae Based on Thin-Shell Formalism
General Relativity and Quantum Cosmology
2020-10-20 v1
Abstract
A spherical planetary nebula is described as a geometric model. The nebula itself is considered as a thin-shell which visualized as a boundary of two spacetimes. The inner and outer curvature tensors of the thin-shell are found in order to get an expression of the energy-momentum tensor on the thin-shell. The energy density and pressure expressions are derived using the energy-momentum tensor. The time evolution of the radius of the thin-shell is obtained in terms of the energy density. The model is tested by using a simple power function for decreasing energy density and the evolution pattern of the planetary nebula is attained.
Cite
@article{arxiv.2010.09595,
title = {A Geometrical Model for the Evolution of Spherical Planetary Nebulae Based on Thin-Shell Formalism},
author = {S. Danial Forghani and Ibrahim Gullu and S. Habib Mazharimousavi},
journal= {arXiv preprint arXiv:2010.09595},
year = {2020}
}
Comments
6 pages, 1 figure