The policeman's colleagues became concerned after he failed to arrive for work.
They went to his apartment, where they found the couple's lifeless bodies inside, lying in a pool of blood.
The alleged murder-suicide is believed to have been a crime of passion, according to sources close to the investigation.
SRK-Gauri anniversary: B-Town stars and their non-filmi better halves
Birthday special: Popular mothers and daughters in Bollywood
Spotted: 'Kaabil' star Hrithik Roshan with dad Rakesh Roshan
'Rock On 2' trailer launch: Farhan, Shraddha enthrall audience with live gig
Photos: Deepika Padukone, Sushmita Sen with daughters at Mumbai airport