'Quick justice'
The brutal assault on the 23-year-old student has led to nationwide protests against the treatment of women in India.
Campaigners have called for tougher rape laws and reforms to the police have been accused of too often failing to file charges against attackers.
The government has promised to fast-track future rape cases. Legal proceedings in India sometimes involve years of delays.
As well as the one sitting at Saket, five other fast-track courts are being set up in Delhi to allow crimes against women to be dealt with swiftly. There are believed to be about 95,000 rape cases pending nationwide, according to Ranjana Kumari, a women's activist and director of the Centre for Social Research.
"'We need a system in which women can get justice quickly. Otherwise, in the normal course of things, it can take 10 or 12 or 14 years for cases to be taken up by the court. That is tantamount to denying justice to the victim," she told the Associated Press.
The government has also said that it will bring in stronger sexual assault laws and has established several committees to recom