Cracking of Anisotropic Spheres in General Relativity Revisited

Spanish Relativity Meeting: almost 100 years after Einstein's revolution

González, Guillermo A.^1 ; Navarro, Anamaría^1 ; Núñez, Luis A.^1,2

Grupo de Investigación en Relatividad y Gravitación, Escuela de Física, Universidad Industrial de Santander, A. A. 678, Bucaramanga

680002, Colombia^1

Centro de Física Fundamental, Departamento de Física, Universidad de Los Andes, Mérida

5101, Venezuela^2

关键词: Anisotropic models;    Barotropic;    Equilibrium state;    General Relativity;    Local density;    Radial forces;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/600/1/012014/pdf
DOI  :  10.1088/1742-6596/600/1/012014

来源: IOP

【 摘 要 】

We have studied the stability in some anisotropic and isotropic matter configurations, by using the concept of cracking in General Relativity, which was conceived as an alternative and different approach to detect instabilities. It is based in the analysis of the radial forces that appear on the system after a perturbation capable of taking it out of its equilibrium state. We have studied the effects of local density perturbations on systems with "barotropic" equations of state. The considerations of the perturbations on the gradient of pressure lead to very different results than the previous works, and have found that not only anisotropic models may present cracking (or overturning), but it can also occur in isotropic matter configurations.