Non-static charged complex structures in f(G, T2) gravity

This paper studies a few characteristics of the dynamical charged relativistic system by invoking the effects arising from the quasi-homologous evolution plus the zero complexity factor. We use a recently proposed modified gravitational theory known as f (G, T-2), where G, T-2 symbolize the Gauss-Bonnet scalar and squared trace of the stress-energy tensor, respectively. This theory was presented by the inclusion of a term proportional to T-2 = T mu nu T mu nu in the standard action of f (G) gravity. To study the spherically symmetric gravitational structure in the presence of electromagnetic field, we formulate the relativistic equations of motion for a particular case f (G, T-2) = k(1)G(m)(k(2)G(n) + 1) +lambda T-2 with k(1), k(2), m and n > 0 are real constants. We find a range of analytical solutions for the relativistic systems evolving quasi-homologously and satisfying the condition Y-TF = 0, under the above-stated case. Some of the provided analytical solutions characterize the evolution of dynamical relativistic systems whose center is enclosed by a cavity. We observe that few of the provided solutions relax the Israel conditions and follow the Darmois matching constraints across the shells, whereas some solutions present thin shells by fulfilling the Israel conditions and relaxing the Darmois constraints. Finally, we discuss some expected applications of the provided solutions which are significant from an astrophysical point of view.

Automated summary

This paper studies the characteristics of a dynamical charged relativistic system using the effects of quasi-homologous evolution and zero complexity factor. The study utilizes a modified gravitational theory known as f (G, T-2) and formulates relativistic equations of motion for a spherically symmetric gravitational structure with an electromagnetic field. Analytical solutions for the relativistic systems evolving quasi-homologously and satisfying certain conditions are found. The provided solutions have potential astrophysical applications.