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[61] Alternatively, one can require that the Lie derivatives of T ( m ) ab along the directions of the two Killing vectors t a (timelike) and ψ c (spacelike) vanish [12]. 

[62] The local nature of the Jebsen-Birkhoff theorem is em- phasized in [12]. 

[63] The Sen-Dunn theory [40] is a scalar-tensor theory in which the combination of second derivatives ∇$_{a}$∇$_{b}$ φ − g ab □ φ on the right hand side of the field equations (17) vanishes identically, making a massless φ satisfy the weak energy condition in the Jordan frame. 

