4.5 Article

Anisotropic star models in the context of vanishing complexity

Journal

ANNALS OF PHYSICS
Volume 436, Issue -, Pages -

Publisher

ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.aop.2021.168671

Keywords

Vanishing complexity; Interior solution; Relativistic fluid

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In this study, three physical general relativistic anisotropic models were constructed based on the complexity definition for static and self-gravitating objects, with the aim of fulfilling the vanishing complexity condition to close the system of Einstein field equations. The analysis indicates that the studied models are feasible and stable under the chosen set of parameters. Additionally, models such as P _perpendicular to = 0 and Consenza's anisotropy models that do not meet the expected conditions are also discussed.
We use the definition of complexity for static and self- gravitating objects to build up three physical general relativistic anisotropic models fulfilling the vanishing complexity condition which serves to provide the extra information needed to close the system of Einstein field equations. We evaluate the physical acceptability of these models by testing some of the conditions that the geometric and material sector must satisfy in order to be considered as reasonable realistic models. We present the results of this analysis by asserting that the studied cases demonstrate to be feasible and stable under the chosen set of parameters. Furthermore, the P perpendicular to = 0 and the Consenza's anisotropy models that seem not satisfying the expect conditions are also discussed. (c) 2021 Elsevier Inc. All rights reserved.

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