According to our current understanding of physics, the maximum speed at which an object with mass can travel is the speed of light in a vacuum, denoted by 'c'. As an object with mass approaches the speed of light, its energy and momentum increase, requiring an increasingly large amount of energy to accelerate it further. In practice, it would require an infinite amount of energy to accelerate a massive object to reach or exceed the speed of light.
As an object approaches the speed of light, the effects of special relativity become more pronounced. Time dilation, length contraction, and other relativistic effects come into play. These effects are inherent to the nature of space and time, and they occur regardless of any disruption caused by the moving object.
It's important to note that objects traveling at speeds close to the speed of light can cause gravitational effects, such as gravitational waves, but these effects are not specific to the speed of the object. Gravitational interactions are governed by general relativity, which describes the curvature of spacetime due to mass and energy.
In summary, there is a maximum speed at which an object with mass can travel, which is the speed of light. As an object approaches this speed, relativistic effects become significant, but they do not cause disruption in space-time around the object itself.