Role of quasi-homologous condition to study complex systems in gravity
Department of Mathematics, University of the Punjab, Quaid-i-Azam Campus, 54590, Lahore, Pakistan
Accepted: 19 August 2021
Published online: 27 September 2021
We study the notion of complexity for dynamical self-gravitating (dissipating as well as non-dissipating) structures with anisotropic fluid configuration, under gravitational model. Here, and T symbolize the Gauss–Bonnet invariant and trace of the stress-energy tensor, respectively. To address the evolution of the dynamical celestial body, we impose two conditions on the system, i.e., the quasi-homologous (i.e., condition and zero complexity factor condition. Under the above-mentioned conditions, different solutions to the gravitational equations are proposed. Some of the given theoretical models illustrate the evolution of non-static structure in which the center () of the system is enclosed by a void, while some of them characterize the dissipative anisotropic matter configurations in which the fluid fills up the entire system. Few of the stellar models fulfill the Israel junction conditions, while others satisfy the Darmois matching conditions.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021