“We are concerned about inappropriate communications,” the official said. “We are not going to speculate as to what is contained in these documents.”

Allen, 58, attended Flint Hill School in Oakton, Va., before graduating from the Naval Academy in Annapolis. He is married and has two grown daughters. His wife, Kathy, appeared with him in public in March at a Senate hearing on the war in Afghanistan.

Kelley’s name surfaced in the Petraeus scandal over the weekend after U.S. officials disclosed that she contacted the FBI last summer to complain that she had received anonymous and threatening e-mails about her relationship with the CIA director.

An FBI field investigation determined that Broadwell was the sender of the e-mails. Broadwell and Petraeus later admitted to the FBI that they had engaged in an affair.

Associates of Petraeus have said he was not romantically involved with Kelley, although they acknowledged she was a close friend of Petraeus and his wife.