The FBI has begun contacting people as part of an additional background investigation of Judge Brett M. Kavanaugh, including a second woman who alleges that the Supreme Court nominee sexually assaulted her, according to people familiar with the unfolding investigation.

The bureau has reached out to Deborah Ramirez, a Yale University classmate of Kavanaugh’s who alleges that he shoved his genitals in her face at a party where she had been drinking and become disoriented. It was not clear that agents had yet interviewed Ramirez. But the FBI is moving quickly to contact people as part of the new background investigation, which President Trump ordered on Friday under pressure from