Role of quasi-homologous condition to study complex systems in $$f({\mathbb {G}}, T)$$ gravity

Analysis of hyperbolically symmetric fluid configurations in modified Gauss–Bonnet gravity

“…This section deals with the formation of some tensorial quantities obtained through a well-known procedure of orthogonal splitting of the Riemann-Christoffel tensor. This framework was originally presented by Bel [62] and later on extended by many researchers in GR [44,63,64] as well as in modified cosmological models [17][18][19]. The scheme of orthogonal decomposition is executed using tensorial terms Y μη , Z μη and X μη given by (for details see [62,63,65])…”

“…Some modified GBG models of the late-time cosmological evolution are also predicted by low-energy effective string theory action [14]. The modified versions of GBG cosmologies can be used for understanding the evolution of complex self-gravitational systems with the help of structure scalars as well as gravitational waves' events [15][16][17][18][19][20][21].…”

“…This novel scheme of complexity is based on the fundamental assumption that less complex systems comprises of homogeneous (in the energy density) and isotropic pressure fluid configurations. The perspective applications regarding the complexity of self-gravitational systems within the frameworks of different geometrically modified gravitational models has been discussed in detail [16][17][18][19][20][21]. This investigation is endeavored to analyze the physical features of locally anisotropic, hyperbolically symmetric self-gravitational fluids in terms of geometrical and physical variables that seem to play a significant role in the evolution of such objects.…”

Stability Analysis of Isotropic Spheres in Einstein Gauss–Bonnet Gravity

“…They also explored the dynamics of complex self‐gravitating cosmological systems by identifying the complexity factor within the dynamics of $$f(\mathcal {G},T)$$ theory of gravitation. [ 48 ] Maurya et al. [ 49 ] described anisotropic fluid spheres using embedding scheme through the mechanism of Brans–Dick theory of gravity.…”

“…They also explored the dynamics of complex self-gravitating cosmological systems by identifying the complexity factor within the dynamics of f (, T) theory of gravitation. [48] Maurya et al [49] described anisotropic fluid spheres using embedding scheme through the mechanism of Brans-Dick theory of gravity. Maurya et al [50] developed deformed spherically symmetric static-stellar configurations with anisotropic pressure using gravitational decoupling scheme, in Einstein-GB gravity.…”