David Jackson

USA TODAY

White House officials have put out out three names for the successor to National Security Adviser Michael Flynn, who resigned Monday night.

Robert Harward

Harward is a former deputy commander of U.S. Central Command and is considered the favorite for the job.

Upside: He's a protégé of Defense Secretary Jim Mattis with good connections to the military.

Downside: Trump doesn't know him very well.

Keith Kellogg

Kellogg is the acting national security adviser.

Upside: The lieutenant general is already doing the job and has experience as chief of staff to Flynn's NSC; he's a close adviser to Trump.

Downside: He's 72 and may not want the full-time job.

David Petraeus

Petraeus is a retired general and former CIA director.

Upside: He has vast experience and is a former commander of U.S. forces in Afghanistan.

Downside: He resigned from the CIA and later pleaded guilty to a misdemeanor charge stemming from his disclosure of classified information to a biographer with whom he was having an affair.

Read more:

Full text of Michael Flynn's resignation letter

Trump begins search to replace Michael Flynn as questions mount