Does SR preserve the direction of light?

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SUMMARY

Special Relativity (SR) does change the direction of light beams that are not aligned with the axis of a Lorentz boost. Specifically, a Lorentz boost along the x-axis preserves the direction of light beams traveling along the x-axis but alters the direction of all other light beams. Additionally, even for light beams whose direction remains unchanged, their frequency is affected by the Lorentz transformation. This confirms that while the speed of light remains invariant, its direction and frequency can vary under different transformations.

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does SR change the direction of light and if yes is it then possible to find a transformation keeping the velocity of light invariant and not only its speed ?
 
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jk22 said:
does SR change the direction of light and if yes is it then possible to find a transformation keeping the velocity of light invariant and not only its speed ?
I think just the identity transformation.
 
Any Lorentz boost will leave invariant the direction of light beams that are directed along the same axis; but it will change the direction of light beams that are not directed along the same axis. So a Lorentz boost along the x-axis would not change the direction of light beams traveling along the x axis; but it would change the direction of all other light beams.

Also, even light beams whose directions are not changed by a Lorentz boost will have their frequency changed.
 

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