According to the Rambam, there are two Tisha B’av Halachos that are
applicable only for Talmidei Chachomim.
(not learning Torah on T.B. is applicable to everyone.)
1 ) The Rambam Hl. Taniyos (Prk. 5 Hl. 9) writes , On Erev Tisha B’av The Chasidim Harishonim
would eat only dry bread with salt, soaked in water. (no cooked dishes) and it would
be proper for Chachamim to do so. The Rambam continues In his lifetime he never ate
cooked food , even lentils ,on Erev Tisha B’av, unless it fell on Shabbos.
2) Hl. 11 The Rambam writes Talmidei Chachamim don’t give Sholom to each other, on