Cylindrically symmetric Petrov-type N and axially symmetric Petrov type-III space-times with pure radiation and scalar fields, which solve Einstein equations, fail to satisfy the field equations of f(R, L_m, Phi, kinetic term) gravity.
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Are There Closed Timelike Curves in $f(R,\mathcal{L}_m,\Phi,g^{\mu\nu}\nabla_\mu \Phi \nabla_\nu \Phi)$-Gravity?
Cylindrically symmetric Petrov-type N and axially symmetric Petrov type-III space-times with pure radiation and scalar fields, which solve Einstein equations, fail to satisfy the field equations of f(R, L_m, Phi, kinetic term) gravity.