Relativistic rocket
Relativistic rocket means any spacecraft that travels close enough to light speed for relativistic effects to become significant. The meaning of "significant" is a matter of context, but often a threshold velocity of 30% to 50% of the speed of light (0.3c to 0.5c) is used. At 30% c, the difference between relativistic mass and rest mass is only about 5%, while at 50% it is 15%, (at 0.75c the difference is over 50%); so above such speeds special relativity is needed to accurately describe motion, while below this range Newtonian physics and the Tsiolkovsky rocket equation usually give sufficient accuracy.
In this context, a rocket is defined as an object carrying all of its reaction mass, energy, and engines with it.
No known technology can bring a rocket to relativistic speed. Relativistic rockets require huge advances in spacecraft propulsion, energy storage, and engine efficiency which may or may not ever be possible. Nuclear pulse propulsion could theoretically reach 0.1c using current known technology, but would still require many engineering advances to achieve this. The relativistic gamma factor at 10% of light velocity is 1.005. A 0.1c speed rocket is thus considered non-relativistic since its motion is still quite accurately described by Newtonian physics alone.
Relativistic rockets are usually seen discussed in the context of interstellar travel, since most would need a lot of space to reach such speed. They are also found in some thought experiments such as the twin paradox.