What has deepened the mystery is the fact that her car was found at the bottom of a ravine near Khopoli on Mumbai-Pune road.
Police Inspector Meera Bansode of Kopri police station here said today that the probe was underway, but the police were yet to get any clue about her whereabouts.
Alka (49), a resident of Thane city, went missing on December 27. Her husband Sanjay Punekar lodged a complaint with the Kopri police.
As per the complaint, Alka left home on December 27 for a show at Uran in neighbouring Navi Mumbai. From there she was to travel further to Pune. Her car was found in a mangled state at the bottom of a 700-feet deep gorge in Khopoli in Raigad district on December 30.
Police found her bag and cellphone in the car, but she was nowhere to be found.