Dynamics of self-gravitating systems in non-linearly magnetized chameleonic Brans-Dicke gravity. (English) Zbl 1528.83044
Summary: We study the effects of magnetic fields of non-linear electrodynamics in chameleonic Brans-Dicke theory under the existence of anisotropic spherical fluid. In particular, we explore dissipative and non-dissipative self-gravitating systems in the quasi-homologous regime with the minimal complexity constraint. As a result, under the aforementioned circumstances, several analytic solutions are found. Furthermore, by analyzing the dynamics of a dissipative fluid, it is demonstrated that a void covering the center can satisfy the Darmois criteria. The temperature of the self gravitating systems is also investigated.
MSC:
| 83C55 | Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) |
| 03D15 | Complexity of computation (including implicit computational complexity) |
| 16E30 | Homological functors on modules (Tor, Ext, etc.) in associative algebras |
| 47D06 | One-parameter semigroups and linear evolution equations |
| 70H45 | Constrained dynamics, Dirac’s theory of constraints |
| 37L50 | Noncompact semigroups, dispersive equations, perturbations of infinite-dimensional dissipative dynamical systems |
| 83-10 | Mathematical modeling or simulation for problems pertaining to relativity and gravitational theory |
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