Charged spherical solution in [formula omitted] gravity via embedding

Abstract

The present article discusses a charged spherical solution in modified f(G,T) gravity under the embedding class I condition, where f(G,T)=G2+χT, where G is a Gauss–Bonnet term and T denotes a trace of energy momentum tensor, while χ is called coupling constant. The Exact solution of the Einstein–Maxwell’s field equations in f(G,T) gravity is obtained by taking a particular ansatz for radial component of the line element. The validity of the charged spherical solution has been tested via different physical analysis. The physical analysis shows that the present solution is well behaved. Moreover, we plotted the graphs for a particular star Vela X-1 for different χ, which show the trends of the thermodynamical observables like pressure, density, electric charge, energy conditions as well as impact of χ parameter on the above thermodynamical observables. On the other hand, we predicted the radii for 12 stars with different χ. The mass–radius ratio and surface red-shift are also calculated. Also, we have discussed the stability and equilibrium condition of the solution. Overall, the above analysis shows that obtained solution describes a physically viable and stable compact star. The prediction of radii from GW 170817 is also in agreement with our M−R curve.