The judge also denied a request that defense lawyers and prosecutors be prevented from talking publicly about the case, and she refused to sequester the jury pool, which could number 500 people, during the selection process. Prosecutors said it would be too expensive and unwieldy to sequester that many people. The judge has not ruled on whether the jurors who are selected should be sequestered.

Defense lawyers and prosecutors both said they would agree to the jury’s being sequestered, given the trial’s high-profile nature.

Mr. O’Mara said the Zimmerman case was so weighed down by “social and community pressure” that a jury could fear the consequences of acquitting Mr. Zimmerman.

“We have to do everything possible to keep this jury from infection,” Mr. O’Mara said in court.

There is little other agreement between defense lawyers and prosecutors. Mr. O’Mara has repeatedly accused prosecutors of dragging their feet in turning over evidence, a charge that they have disputed.

Mr. O’Mara took that accusation one step further on Tuesday and told the judge he had evidence that prosecutors had concealed information. He said that Wesley White, a lawyer who worked for Angela Corey, the state attorney in Jacksonville, Fla., whose office is prosecuting the case, had told him that prosecutors had received a report with information about photos taken on Mr. Martin’s cellphone. Mr. O’Mara said he never received the report or information about the photos, which were said to have included images of drugs and a gun in someone’s hand.

The photos’ content is not as important as the charge that Bernie de la Rionda, the lead prosecutor, did not turn them over to the defense. Mr. O’Mara wants the court to penalize the state, and Judge Nelson will conduct a hearing on the matter a week from Thursday.