Dynamics of Newtonian and relativistic thin fluid shells

Authors

Juan Martin N. Rodrigo ⋅ PH National Institute of Physics, University of the Philippines Diliman
Josue Luis Villarin ⋅ PH National Institute of Physics, University of the Philippines Diliman
Lyle Geraldez ⋅ PH National Institute of Physics, University of the Philippines Diliman
Adam Mendoza ⋅ PH National Institute of Physics, University of the Philippines Diliman
Ian Vega ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

We study the state space structure of both the Newtonian and relativistic equations of motion describing thin fluid shells, and identify and classify the fixed points of their dynamics. Using concepts borrowed from dynamical systems theory, we provide an alternative proof of a general condition for the existence of Newtonian shell oscillations. For the case of polytropic relativistic shells, we numerically determine the stability region of the parameter space that supports shell oscillations.

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Issue

2021: Proceedings of the 39th Samahang Pisika ng Pilipinas Physics Conference

Article ID

SPP-2021-PC-06

Section

Poster Session C (Theoretical and Mathematical Physics)

Published

2021-09-28

How to Cite

[1]

JMN Rodrigo, JL Villarin, L Geraldez, A Mendoza, and I Vega, Dynamics of Newtonian and relativistic thin fluid shells, Proceedings of the Samahang Pisika ng Pilipinas 39, SPP-2021-PC-06 (2021). URL: https://proceedings.spp-online.org/article/view/SPP-2021-PC-06.