I Acceleration in special theory of relativity

[LagrangeEuler]

In a inertial frame of reference $S$ body accelerate with constant acceleration $a$. Can then exist inertial frame of reference $S'$ which moves with speed $u$ relative to $S$ in which body does not accelerate? And why?

 

[weirdoguy]

No. If it does not accelerate in S' then it moves with constant velocity with respect to that frame. Transforming that velocity to S yields another constant velocity. And that is in contradiction with body being accelerated.
That is true in both SR and non-relativistic mechanics.

 

[Vanadium 50]

Can such a thing hgappen in Newtonian mechanics? If not, what does Relativity change?

 

[LagrangeEuler]

Thanks. And can exist inertial frame of reference $S'$ in which acceleration is not constant if in the system $S$ acceleration is constant?

 

[PeroK]

Thanks. And can exist inertial frame of reference $S'$ in which acceleration is not constant if in the system $S$ acceleration is constant?

Is that something you could work out for yourself? Using the transformation of acceleration from one frame to another, perhaps.

 

[LagrangeEuler]

I think that if one system acceleration is constant in the system that moves with velocity $u$ relative to this one acceleration will not be constant, because in formula for acceleration is velocity of moving object that changes from point to point.

 

[PeroK]

I think that if one system acceleration is constant in the system that moves with velocity $u$ relative to this one acceleration will not be constant, because in formula for acceleration is velocity of moving object that changes from point to point.

Yes, exactly.