Although there was no trace of the officer, a suicide note was recovered from the car after it was pulled out of the canal, police said.
In the suicide note, Kalia has purportedly blamed his wife, father-in-law and brother-in-law for compelling him to commit suicide.
According to police, Kalia, who got married about four years ago and had a son, was not in a good terms with his wife.
Fatehgarh Sahib Deputy Superintendent of Police (DSP), Hardevinder Singh Sandhu, said that police is thoroughly probing the case.