The black hole generator was a name used to refer to a Yuuzhan Vong superweapon being developed in the Unknown Regions around 11 BBY. It was essentially a large dovin basal, capable of creating and dissipating large black holes capable of consuming entire planets or stars.
The Yuuzhan Vong have claimed Coruscant as their new capital and the survivors of the battle of the planet, including the Skywalkers and the Solos, escape to rendezvous with other survivors within the Hapes Consortium. Meanwhile, in the Myrkr system, Jaina Solo and the survivors of the mission to exterminate the voxyn escape aboard a captured Yuuzhan Vong frigate named the Ksstar in order to meet up with Jaina's family on Hapes. On the Ksstar's heels is Khalee Lah, the fanatical warrior son of Vong Warmaster Tsavong Lah, and his charge, Priest Harrar. Their pursuit of Jaina and her comrades convinces Jaina to rename the captured Vong ship the Trickster in order to play mind games on the invaders; as one of their goddesses, Yun-Harla, is a trickster, Jaina's audacity is looked upon as blasphemy. As this happens, the Skywalkers and Solos' Jedi friends sense Jacen Solo's death, although, strangely enough, Jacen's family members themselves do not sense this.
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