Her post-mortem, which was conducted today, revealed that she died of a serious head injury, police said.
According to an official, Kritika's family members, friends and her acquaintances were being questioned.
"Police have received the post-mortem report some time back and after going through it, we have filed an offence of murder," Paramjeet Dahiya, Deputy Commissioner of Police (Zone-IX) said.
According to another officer, the autopsy report attributed the serious head injury as the cause of her death.
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He said police are checking the Call Data Record (CDR) of Kritika's cell phone along with the CCTV footage of her residential building as well of the surrounding area.
Kritika's body was yet to be handed over to her family members, the official said.
The decomposed body of Kritika (30) was found at her residence in Andheri (west) last evening after police broke open the door of her flat on the complaint by neighbours that foul smell was emanating from inside, police said.