The head of the International Monetary Fund is facing growing pressure to quit the role after his arrest for alleged sexual assault.
Dominque Strauss-Kahn, 62, was arrested on Saturday after boarding a plane about to leave New York for Paris.
He faces several charges, including committing a criminal sexual act, attempted rape and unlawful imprisonment of a hotel maid at the luxury Sofitel hotel in New York on 14 May.
Mr Strauss-Kahn denies the claims and is expected to remain in New York's Rikers Island jail, known for gang violence, at least until his next appearance in court on Friday.
He has been put on suicide watch and guards are required to check on him every 15 to 30 minutes, the BBC reports.
China, Brazil and South Africa are questioning Europe's right to the job but Europeans say it makes sense for them to retain the post as the IMF plays a crucial role in helping to ease the euro zone debt crisis.
US Treasury Secretary Timothy Geithner says Mr Strauss-Kahn is "not in a position to run" the IMF and says its executive board should designate an interim head.
Since Mr Strauss-Kahn's arrest, his deputy John Lipsky has been serving as acting managing director of the global lending agency.
If convicted, Mr Strauss-Kahn, who had been seen as a favourite in France's 2012 presidential elections, could be sentenced to up to 25 years in jail.
The defence offered to post $US1 million bail, with Mr Strauss-Kahn to stay at his daughter's address in New York until Friday's hearing but the New York judge rejected the application.
