Abstract
The main purpose of this paper is to discuss structure scalars in the context of f(mathcal {G}, T) gravity, where mathcal {G} is the Gauss–Bonnet invariant and T is the trace of stress energy tensor. For this aim, we have considered the spherically symmetric spacetime and dissipative anisotropic fluid coupled with radiation and heat ejecting shearing matter distributions. We have found these scalar variables by orthogonally decomposing the Riemann curvature tensor in f(mathcal {G}, T) gravity. Moreover, the evolution equations of shear and expansion are also developed with the help of these scalar functions. We have also analysed these scalars by taking mathcal {G} and T as constants for dust cloud. The physical behaviour of structure scalars for radiating matter distributions has been examined in the presence of modified gravity. It is shown that the evolutionary stages of relativistic stellar structures can be explored via modified scalar functions.
Highlights
Modified gravitational theories are introduced after generalizing the Einstein–Hilbert action to contemplate the idea of dark energy
According to the recent investigations, the outcomes developing from the Planck a e-mail: farasat.shamir@nu.edu.pk b e-mail: awaismalhi007@gmail.com satellite [4–6], the BICEP2 experiment [7–9], the wilkinson microwave anisotropy probe [10,11] and sloan digital sky surveys [12], it turns out that 68% of universe is composed of dark energy, 27% is the dark matter and the rest is ordinary matter which is around 5%
We investigate the factors affecting the tidal forces in the development of collapsing spherical matter distribution in f (G, T ) gravity
Summary
Modified gravitational theories are introduced after generalizing the Einstein–Hilbert action to contemplate the idea of dark energy. Tewari et al [49] studied anisotropic fluid distributions for a spherically symmetric model and presented some relativistic models that could be useful to comprehend different characteristics of compact star models Structural variables, such as energy density, locally anisotropic pressure and Weyl tensor can be used to explore the evolutionary development of stellar models. Herrera et al [52] studied the gravitational arrow of time by relating Weyl scalar with energy density inhomogeneity and anisotropic pressure In another context, Herrera and his collaborators [53] examined the structure and evolution of compact stars with the help of some structure scalars obtained from the orthogonal splitting of curvature tensor. 2, we discuss the field equations of modified gravity with anisotropic fluid distributions and link the Weyl scalar with structural variables. The main outcomes of the present work are discussed in the last section
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