I would say that none of them do.  Most closely filling the role of Dreadnaugt for the Advent are the Revelation Battlecruiser (which is the "planet bomber" mentioned above) and the Rapture Battlecruiser.  Both have primarily forward facing weapons (laser and plasma for the Revelation and beam and plasma for the Rapture).  However, at least in terms of the Advent, both do respectable damage: 38 plasma, 23 laser for the Revelation and 14 laser, 12 beam, 27 plasma for the Rapture (I'm looking at a current game for these stats and I've done some research so the actual starting numbers may be somewhat lower, I'm not sure.  I don't think the Advent have a "dreadnaugt" nor do they really need one since they rely more on playing off of each other's abilities than damage taking/giving (though of course when I do play the Advent I wish for a more damage-oriented ship).

If you look at game stats, each capital ships is listed as battleship, carrier, utility A, utility B, utility C.  One of those utilities is colony caps, the other is dreadnaughts.  The Revelation is listed under the same category as the Marza and Desolator.  So, it is equivalent, if only in theory.

revelation- it has provoke hysteria

@ the guy who lost 2 capships: were they radiance & progenitor?

Lower dps ships tend to get early strikecraft.

Halycon is advent dreadnought class.

The lvl3 RoF ability of 22% also apply to sieging.

So, having halycon makes all your capships 22% more efficient at planet raping.

oh and having 5-6 raptures on lvl 6 will make Sins in to GTA: carrier yoinkking

I wonder if you can cast vengence on SB?  That will be very hard to kill.

I disagree. The Halcyon serves as the Advent's capital carrier (it even states so in the infocard - "Halcyon Class Carrier"). Amplify Energy Aura affects only energy weapons, not the Kinetic Bolts used for bombardment ("energy" being Advent lasers, beams, and plasma weapons - TEC lasers, Vasari Pulse Guns, and Wave Cannons are not affected by this aura). If that's not enough, out of all the Advent capitals, the Halcyon has the worst bombardment damage, just like how the other two capital carriers have the worst bombardment damage when compared against their faction's other capitals.

Like others have said, the closest Advent capital to an actual dreadnaught would be the Revelation in terms of planet-killing ability (although Provoke Hysteria is most effective against planets with large amounts of HP since it deals 1% of max HP of damage per second - on a 6000 HP planet, this is 60 dmg per second).

Not according to ship entity files. Bombing projectiles have only the property "projectile" and are missing the DamageType "Energy".

the multiple rapture technique is always fun, especially against tec as you can just collect the repair/carrier ships amd have huge battles (kills ya framerate though as you get stupidly large amounts of ships in game)  Against the computer AI i ended up with  8000 point fleet (I only had 1400 of my own ships).

but at 2 fps the game was taking forever (finished at a count of 19hrs) plenty of saves required.