"There shall be no live broadcast of the evidence of Professor Saayman," Judge Thokozile Masipa ruled before the testimony of Gert Saayman, who conducted the post-mortem examination on the 29-year-old model and law graduate.
"That applies to Twitter," Masipa added.
As a compromise media suggested to compile a summary of the testimony and only broadcast after the state and defence agreed on the content. Masipa said she would rule on the application tomorrow.
He said the graphic nature of the autopsy report may infringe on Steenkamp's dignity and harm unsuspecting members of the public who saw or heard the testimony.
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"I think that it goes against the good morals of society for us to make information of this nature available in a manner that vulnerable or unsuspecting people in society may be exposed," Saayman told the court.
Pistorius, charged with the pre-planned murder of Steenkamp on Valentine's Day last year, says he mistook his girlfriend for an intruder when he fired four shots through a locked bathroom at his home in the dead of night.