Abstract
In this paper, we study the complexity factor for a charged anisotropic self-gravitating object. We formulate the Einstein–Maxwell field equations, Tolman–Opphenheimer–Volkoff equation, and the mass function. We form the structure scalars by the orthogonal splitting of the Riemann tensor and then find the complexity factor with the help of these scalars. Finally, we investigate some astrophysical objects for the vanishing of complexity condition. It is found that the presence of the electromagnetic field decreases the complexity of the system.
Highlights
The word complexity refers to a factor that includes all the terms inducing complications in a system
In physics [7], the term complexity begins by examining the perfect crystal which has a periodic behavior and the isolated ideal gas with a random behavior
For any of value of n and β, this system can be integrated analytically or we can have a numerical solution using appropriate initial conditions. These equations physically describe the structure of stellar objects with the vanishing complexity condition
Summary
The word complexity refers to a factor that includes all the terms inducing complications in a system. The definition of disequilibrium and information which include probability distribution is redefined in [12,13,14,15,16,17] by the term energy density in the fluid distribution. Herrera [18] introduced a quite different definition of complexity for a self-gravitating system This definition is related to the notion of structure of the spherical system but is not related to disequilibrium or information. He used the notion of Tolman mass which may be considered the active gravitational mass for the fluid distribution.
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