If you're playing WAR, and they provoke AFTER your burst, you're pretty much screwed. WARs sustain dps is the lowest of all tanks. You can still get it back if your overall skill/dps is higher than that of the other tank.
Or you generate extra aggro with Equilibrium (x0.6 aggro modifier), and Thrill of Battle (x0.5 aggro modifier). Nascent Flash doesn't count b/c the abilities has indirect heals, and thus don't generate aggro!

DRK is 2nd in burst, very similar to WAR, and they have a slightly higher sustain dps. I don't know whether TBN also generates aggro, yet I think so... shields are still health generated. 35k shield at 140k HP, that's 17.5k generated aggro points.

GNB is top dps tank right now, so even if they gonna provoke you, you will get it back sooner or later. You also have Aurora (600 aggro potency combined).

PLD almost has no burst. Yes, they do have FoF and Req, it's essentially 35-40s burst, 20-25s 'normal' sustain. PLDs sustain dps is mostly 'burst', and they 2nd top dps. But they don't generate extra aggro, because they don't have healing abilites.

For more see enmity modifiers on reddit.