Dr. Andrew Markiewitz examined Hamilton and had an MRI test performed in Cincinnati. Hamilton will visit Markiewitz again in 10 days.
Hamilton, 26, was injured July 7 while taking practice swings in the on-deck circle. The Reds put him on the 15-day disabled list on Thursday. He is batting .279 in 63 games with 14 home runs and 30 RBIs.
"He can still do his conditioning work to stay in shape, running and throwing since it's his right wrist," Krivsky said of the left-handed Hamilton. "He just can't hit. That won't happen for a while. At least we know what we're dealing with. We'll listen to the doctors."
On the bereavement list so he could be with his hospitalized 10-month-old son in Cincinnati, shortstop Alex Gonzalez was originally expected to rejoin the Reds on Tuesday. But he could end up missing all three games of the Braves series.
"It's up to him and when he's comfortable leaving," Krivsky said. "I said, 'If you're not comfortable, don't rush back for a day game Wednesday if you need to stay another day.'"
By rule, players placed on the bereavement list are permitted to be away for a minimum of three days and a maximum of seven days.
Defense hasn't suffered at shortstop in Gonzalez's absence. Rookie Pedro Lopez started for the third consecutive day and made several strong stops, including a diving play vs. the Mets on Ruben Gotay's third inning grounder.
"I like him. He looks like he's not shy," interim manager Pete Mackanin said. "He looks like he knows how to handle himself. He's not intimidated or anything. He's played in the big leagues before, hasn't he?"
Lopez played two games for the White Sox in 2005.
"Well, he's a veteran then," Mackanin joked.
Cincinnati claimed Lopez off waivers from the White Sox on May 21. He was called up on July 8 from Triple-A Louisville, where he batted .339 in 34 games.
Inside the numbers:
Entering Monday's game, Brandon Phillips had a .495 slugging percentage when batting cleanup -- good for fourth-best in the National League. Phillips has scored 63 runs in the 130 times he's reached base (48 percent), which is fifth-best in the NL.
Adam Dunn has scored 57 runs in the 133 times he's reached base (43 percent), good for 12th in the NL. Dunn had seen 1,567 pitches in his 372 plate appearances -- an average of 4.21 pitches per appearance. That is second-best in the NL.
Reds ace Aaron Harang has thrown 2,182 pitches, third-most in the NL.
Lefty Phil Dumatrait allowed one run and four hits with one walk and four strikeouts Sunday in his latest start for Louisville against Scranton/Wilkes-Barre.
In his last three starts, Dumatrait is 2-0 with a 1.89 ERA (four earned runs over 19 innings).
Bronson Arroyo (3-10, 4.78) will start for the Reds against the Braves on Tuesday at 7:35 p.m. ET. Jo-Jo Reyes (0-0, 15.00) is Atlanta's scheduled starter.