https://doi.org/10.1140/epjc/s10052-020-8273-3
Regular Article - Theoretical Physics
Thermodynamical and dynamical stability of a self-gravitating uncharged thin shell
1
Departamento de Física Teórica, Instituto de Física, Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, Maracanã, Rio de Janeiro, CEP 20550-900, Brasil
2
Departamento de Ciencias Computacionales, CUCEI, Universidad de Guadalajara, Av. Revolución 1500, 44430, Guadalajara, Jal, México
* e-mail: luzmarinareyes@gmail.com
Received:
13
April
2020
Accepted:
21
July
2020
Published online:
10
August
2020
The dynamical stability of massive thin shells with a given equation of state (EOS) (both for the barotropic and non-barotropic case) is here compared with the results coming from thermodynamical stability. Our results show that the restrictions in the para-meter space of equilibrium configurations of the shell following from thermodynamical stability are much more stringent that those obtained from dynamical stability. As a byproduct, we furnish evidence that the link between the maximum mass along a sequence of equilibrium configurations and the onset of dynamical stability is valid for EOS relating the pressure P, the energy density 
of the matter on the shell, and its radius R, namely 
.
© The Author(s), 2020
