Air carrier Captain reported a discrepancy between the RIC ATC Ground clearance and the taxi chart where the issued taxiway clearance name was not depicted on the taxi chart.

Narrative

On day 3 of a four day trip; my crew and I arrived at our gate in Richmond; and I noticed that we had a lot of fuel; including over 500 lbs above what was planned on the release. Sure enough; the ACARS data revealed that we were overweight by 789 lbs. I knew we would need to burn quite a bit of gas; so Dispatch was notified; and he changed our ALT to ZZZ; thereby allowing a lower min fuel requirement. After pushback; Ground Control gave us taxi instructions of A; E; U; hold short of G. Then; he instructed us to hold short of U5; which I read back. When looking at the RIC 10-9 page; that taxiway was not depicted; so I conferred with my First Officer who advised ground that we could not find it on our charts. The Ground Controller had alluded to the fact that the diagrams were not the same; so he cleared us to hold short of the next intersection after G. I elected to hold short of U3; and we waited there until our FOB was within ACARS takeoff limits. Suggestions: While not a threat to air safety; the fact that what we as pilots see on our Jeppesen plates may not be the same as what Ground Control uses can be a cause for a potential taxi deviation. Once this gets resolved; it will eliminate any confusion for both inbound and outbound crews.