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Impact of Charge on the Complexity of Static Sphere in f(R,T²) Gravity

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arxiv 2205.05683 v1 pith:QVJZXR6B submitted 2022-05-11 gr-qc

Impact of Charge on the Complexity of Static Sphere in f(R,T²) Gravity

classification gr-qc
keywords complexitystructurefieldstaticanisotropicconditiondensityelectromagnetic
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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This paper investigates the complexity of a charged static sphere filled with anisotropic matter in the background of energy-momentum squared gravity. For this purpose, we evaluate the modified field and conservation equations to determine the structure of celestial system. The mass function is calculated through Misner-Sharp as well as Tolman mass definitions. The complexity of a self-gravitating system depends on different factors such as anisotropic pressure, electromagnetic field, energy density inhomogeneity, etc. We formulate the structure scalars by the orthogonal decomposition of the Riemann tensor to develop a complexity factor containing all vital features of the stellar structure. The vanishing complexity condition is achieved by setting the complexity factor equal to zero. Finally, we construct two static solutions by utilizing the energy density of Gokhroo-Mehra solution as well as the polytropic equation of state along with the zero complexity condition. It is found that electromagnetic field decreases the complexity of stellar structure.

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