William Walsh Jr. is charged with second-degree murder in the slaying of Leah Walsh, a special education teacher in Glen Cove.
was adjourned until Wednesday so Walsh, also 29, could be screened to see if he can afford private counsel. Walsh's attorney said his client, a stockbroker trainee, has no assets.
Family members of the defendant and the victim left the court without comment.
Walsh, who is being held without bail, faces 25 years to life in prison if convicted. He is being held at the Nassau County jail, where he is undergoing psychiatric evaluation.
Leah Walsh's funeral was held Sunday.
Authorities said Walsh killed his wife early Sunday after returning from a trip to Atlantic City. The couple argued about William Walsh's alleged infidelity, they said.
William Walsh tossed his wife's body in a wooded area off the Long Island Expressway in North Hills, tried to make it appear as if she had been abducted and made emotional pleas for her return, police said.
Her body was discovered Wednesday and he was arrested in her slaying.
After Monday's brief hearing, Walsh's current attorney, Karl C. Seman, of Garden City, said police have no evidence that his client committed the murder.
"Not a single strand of evidence has been produced that he's guilty," Seman said. Police have said Walsh confessed to the crime.
Seman has said Walsh's confession was coerced -- an assertion police have denied.