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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Cited by in corpus (9)

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• Orthogonal splitting of the Riemann curvature tensor and its implications in modeling compact stellar structures
• Role of Complexity on the Minimal Deformation of Black Holes
• Hyperbolically symmetric versions of Lemaitre-Tolman-Bondi spacetimes
• Non-static hyperbolicallly symmetric fluids
• Herrera Complexity and Shadows of Spherically Symmetric Compact Objects
• Complexity Factor for Static Cylindrical System in Energy-momentum Squared Gravity
• The spacetime geodesy of perfect fluid spheres