New charged anisotropic solution in f(Q)-gravity and effect of non-metricity and electric charge parameters on constraining maximum mass of self-gravitating objects

Abstract

Abstract In the present article, A new class of singularity-free charged anisotropic stars is derived in f(Q)-gravity regime. To solve the field equations, we assume a particular form of anisotropy along with an electric field and obtain a new exact solution in f(Q)-gravity. The explicit mathematical expression for the model parameters is derived by the smooth joining of the obtained solutions with the exterior Reissner–Nordstrom de-Sitter solution across the bounding surface of a compact star along with the requirement that the radial pressure vanishes at the boundary. We have modeled four self-gravitating pulsar objects such as LMC X-4, PSR J1903+327, PSR J1614-2230, and GW190814 in our current study and predict the radii of these objects that fall between 8 and 10 km. Furthermore, the physical validity of the solution is performed for self-gravitating object PSR J1614-2230 with mass $$1.97\pm 0.04~M_{\odot }$$ 1.97 ± 0.04 M ⊙ with radius 10 km. The solution successfully fulfills all the physical requirements along with the stability and hydrostatic equilibrium conditions for a well-behaved model. The non-metricity f(Q)-parameter $$\chi _{_1}$$ χ 1 and electric charge parameter $$\eta $$ η play an important role in the maximum mass of the objects. The maximum mass increases when $$\chi _{_1}$$ χ 1 and $$\eta $$ η increase but a non-collapsing stable object can be obtained when $$\chi _{_1}\le 0.0205$$ χ 1 ≤ 0.0205 and $$\eta \le 0.0006$$ η ≤ 0.0006 .