https://doi.org/10.1140/epjc/s10052-020-8202-5
Regular Article - Theoretical Physics
Quasi-homologous evolution of self-gravitating systems with vanishing complexity factor
1
Instituto Universitario de Física Fundamental y Matemáticas, Universidad de Salamanca, Salamanca, 37007, Spain
2
Escuela de Física, Facultad de Ciencias, Universidad Central de Venezuela, Caracas, 1050, Venezuela
3
Departamento de Matemática Aplicada and Instituto Universitario de Física Fundamental y Matemáticas, Universidad de Salamanca, Salamanca, 37007, Spain
* e-mail: lherrera@usal.es
Received:
27
May
2020
Accepted:
3
July
2020
Published online:
16
July
2020
We investigate the evolution of self-gravitating either dissipative or non-dissipative systems satisfying the condition of minimal complexity, and whose areal radius velocity is proportional to the areal radius (quasi-homologous condition). Several exact analytical models are found under the above mentioned conditions. Some of the presented models describe the evolution of spherically symmetric dissipative fluid distributions whose center is surrounded by a cavity. Some of them satisfy the Darmois conditions whereas others present shells and must satisfy the Israel condition on either one or both boundary surfaces. Prospective applications of some of these models to astrophysical scenarios are discussed.
© The Author(s), 2020
