Rotating black branes in f(R) gravity coupled to nonlinear Maxwell field

摘要: In general, the field equations of $f(R)$ theory coupled to a matter are very complicated and hence it is not easy find exact analytical solutions. However, if one considers traceless energy-momentum tensor for source as well constant scalar curvature, can derive some solutions from field. this paper, by assuming curvature scalar, we construct class charged rotating black string in $f(R)$-Maxwell theory. We study physical properties obtain conserved quantities The thermodynamic computed here depend on function $f'(R_{0})$ differ completely those Einstein AdS spaces. Besides, unlike gravity, entropy does obey area law. also investigate validity first law thermodynamics stability analysis canonical ensemble, show that always thermodynamically stable with scalar. Finally, extend case where Ricci particular $R=R(r)$. case, using Lagrangian multipliers method, an solution gravity reconstructed $R(r)$. has additional logaritmic term metric which incorporates effect