Dear Colleagues,

In recent decades, many efforts have been devoted to the compelling issue of collapsing processes and structure formation of self-gravitating objects. During the evolution of stellar systems, an enormous amount of energy emanates at various stages in the form of neutrinos and photons. It has been found that the net amount of radiated energy gradually increases during the collapse. Gravitational collapse is a highly radiating process and involves a considerable amount of binding energy. Thus, highly energetic explosions in self-gravitating fluid distributions are common events in relativistic astrophysics. Consequently, any galactic model in one state may be stable at first and turn out to be unstable at a later stage. Such a problem is closely related to the one of structure formation since different degrees of stability/instability will lead to different patterns of evolution in the collapse of self-gravitating objects. The critical aspect is to determine the dynamical instability via linear perturbations, but it is hard to determine up to what degree these techniques can demonstrate the stability problem. Thus, questions regarding the evolution of self-gravitating systems after an explosion are very important.

Therefore, it is of utmost relevance to provide a precise description of the structure formation for compact self-gravitating objects within the framework of general relativity as well as in modified gravity theories, keeping in mind the evolutionary phases, inhomogeneous structure, dynamical instability, and collapsing processes. Potential topics may include but are not limited to the following:

Alternative theories of gravity;
Complex fuzzy systems;
Cosmology and the early universe;
Dark energy and inflation;
Dynamical instability for relativistic structures;
Exact solutions;
Fundamental aspects of astrophysics;
Fuzzy electrodynamics;
Fuzzy geometry and fuzzification of geometric structures;
General relativity in fuzzy spaces;
Gravitation;
Gravitational collapse of self-gravitating systems;
Gravitational waves of cosmological and astrophysical origin;
Mathematical and relativistic aspects of cosmology;
Numerical studies for self-gravitating objects;
Structure scalars;
Theory of dynamical fuzzy spaces, decision making and its application.

Dr. M. Z. Bhatti
Dr. Zeeshan Yousaf
Dr. A. Adeel
Guest Editors

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• fuzzy geometry
• self-gravitating systems
• fuzzification of geometric structures