local lorentz transformation and exact solution

a general tetrad fields, with an arbitrary function of radial coordinate, preserving spherical symmetry, is provided. such tetrad is split into two matrices: the first matrix represents a local lorentz transformation (llt), which contains an arbitrary function. the second matrix represents a proper tetrad fields which satisfy the field equations of f(t) gravitational theory. this general tetrad is applied to the field equations of f(t). we derive a solution with one constant of integration to the resulting field equations of f(t). this solution gives a vanishing value of the scalar torsion. we calculate the energy associated with this solution to investigate what is the nature of the constant of integration.