Quasi-homologous evolution of self-gravitating systems with vanishing complexity factor

Abstract

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.

15 pages Latex. Published in Eur. Phys.J. C

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• Interpretation of complexity for spherically symmetric fluid composition within the context of modified gravity theory
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• Hyperbolically symmetric versions of Lemaitre-Tolman-Bondi spacetimes
• Non-static hyperbolicallly symmetric fluids
• Collapsing dynamics of relativistic fluid in modified gravity admitting a conformal Killing vector
• Herrera Complexity and Shadows of Spherically Symmetric Compact Objects
• Complexity Factor for Static Cylindrical System in Energy-momentum Squared Gravity
• Dynamics of self-gravitating systems in non-linearly magnetized chameleonic Brans-Dicke gravity
• Gaussian curvature of spherical shells: A geometric measure of complexity
• The spacetime geodesy of perfect fluid spheres
• The collision frequencies of charged particles in the complex plasmas with the non-Maxwellian velocity distributions