This song is not in standard tuning as most people tabbed it. It is in D standard.
Hope you enjoy this tab. Sorry, no solo.
"Verse"
D--------------------------------------------------------D
A--------------------------------------------------------A
F-------------------2b(4)r2-2p0-----------x6 then--------F
C------------2--2---------------2p0--2--2----------------C
G-------0h2--2--2--------------------2--2----------------G
D---0-3------0--0--------------------0--0---------0/12---D
"Chorus"
D--------------------------------------------------------D
A--------------------------------------------------------A
F---------------------2----------x5----------------------F
C------2--------------2----------------------------------C
G------2-----------0-------------------------------------G
D---0-----3b(5)r3--------3b(5)r3-------------------------D
[ Tab from: http://www.guitaretab.com/b/black-keys/229096.html ]