Star Tug

Alexander A. Svoronos proposed the Star Tug, a stellar engine that combines aspects of the Shkadov thruster and Caplan engine to produce an even more powerful and efficient mechanism to move a star.

It replaces the giant parabolic mirror of the Shkadov thruster with an engine powered by mass lifted from the star, similar to the Caplan engine. However, instead of pushing a star from behind with a beam of thrust, as the Caplan engine does, it pulls the star from the front via its gravitational link to it, same as the Shkadov thruster. As a result, it only needs to produce a single beam of thrust, whereas the Caplan engine must produce two beams of thrust.

The Star Tug can, in principle, accelerate the Sun to ~27% the speed of light (after burning enough of the Sun's mass to transition it to a brown dwarf).