Shaykh Muhammad Ibn Hizaam was asked:
The questioner says:
The one who prays a prayer which is silent (Thuhr, And Asr), and he reads in it a verse in which there is a prostration, should he articulate loudly with the verse in which there is a prostration so that the people can hear him and thus he prostrates and they prostrate with him?
It hasn’t been relayed from the prophet صلى الله عليه و سلم with an authentic chain that he prostrated in the silent prayer, thus this action is in opposition to the Sunnah.
Thus he shouldn’t prostrate the prostration of recitation in the silent prayer for this is from the means of (the Imam) not being followed and from the means of the people differing.
Perhaps some of them may think he made a mistake and do Tasbeeh (say Subhanallah) whilst the other follows him and they don’t know what has occurred, Thus this action is in opposition to the Sunnah. He shouldn’t prostrate (the prostration of recitation) in the silent prayers because it hasn’t been reported from prophet صلى الله عليه و سلم with an authentic chain that he prostrated in it.
Majid Jawed Al-Afghanee