The tycoon was held in New Orleans after a warrant was issued by Los Angeles police investigating the murder of Susan Berman.
He is the subject of The Jinx:The Life and Deaths of Robert Durst, which is investigating three unsolved murder cases linked to the tycoon.
The Jinx says it has new evidence implicating Robert Durst in Susan Berman’s shooting.
Robert Durst, 71, had been previously questioned by police investigating her execution-style killing.
He will appear in a New Orleans court on March 15 but his lawyer says he will not oppose being transferred to Los Angeles.
In 2003, Robert Durst admitted killing Morris Black, dismembering his body and throwing the remains into a bay in Galveston, Texas, but a jury accepted his claim of self-defense.
The property heir was also questioned by police following the disappearance of his first wife Kathleen in 1982 in New York.
Robert Durst has always denied any involvement in the deaths of his wife or Susan Berman.
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