Stellar models with like-Tolman IV complexity factor

Abstract

In this work, we construct stellar models based on the complexity factor as a supplementary condition which allows to close the system of differential equations arising from the Gravitational Decoupling. The assumed complexity is a generalization of the one obtained from the well known Tolman IV solution. We use Tolman IV, Wyman IIa, Durgapal IV and Heintzmann IIa as seeds solutions. Reported compactness parameters of SMC X-1 and Cen X-3 are used to study the physical acceptability of the models. Some aspects related to the density ratio are also discussed.

An anisotropic extension of Heintzmann IIa solution with vanishing complexity factor

“…Precisely one of the extra conditions used to close the system of differential equations arising from GD through MGD or MGDe is the complexity factor, which results interesting since it permits us to play with the concept of complexity of selfgravitating fluids [82] in order to obtain new stellar models (see Refs. [83,84] as examples where it condition was used with the GD through MGD).…”

Anisotropic stars made of exotic matter within the complexity factor formalism

“…However, the real value of such definition becomes evident when we use it as a supplementary condition to close the set of differential equations of a self-gravitational system. What is more, the complexity factor could be used as a self-consistent way to incorporate anisotropies [68,69], see also [70][71][72][73][74][75][76][77] and references therein.…”

A Comprehensive Analysis of Hyperbolical Fluids in Modified Gravity

“…Alternatively, illustrates how these two variables change the value of the Tolman mass, comparable to its value for the homogeneous isotropic fluid. This sparked the idea of complexity, which was discussed in [ 54 , 55 , 56 , 57 , 58 , 59 , 60 ].…”