We test the subclasses of Horndeski gravity without Vainshtein mechanism in the strong field regime of binary pulsars. We find the rate of energy losses via the gravitational radiation predicted by such theories and compare our results with observational data from quasi-circular binaries PSR J1738+0333, PSR J0737-3039, PSR J1012+5307. In addition, we consider few specific cases: the hybrid metric-Palatini f(R)-gravity and massive Brans-Dicke theory.

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Subclass of Horndeski gravity without Vainstein screening mechanism is tested in strong field regime of binary pulsars. Two specific cases of the Horndeski gravity are considered: the hybrid metric-Palatini f(R)-gravity and massive Brans-Dicke theory. The observational data of PSR J1738+0333, PSR J0737-3039, PSR J1012+5307 is used for obtaining constraints.

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