I got the general form of a Lorentz transformation in a GR book,(adsbygoogle = window.adsbygoogle || []).push({});

[itex]{\textbf{x'}}[/itex] = [itex]{\textbf{x}}[/itex] + (γ-1)[itex]\frac{{\textbf{x}•\textbf{v}}}{v^2}\textbf{v}[/itex]-γ[itex]\textbf{v}[/itex]t

t' = γ(t-[itex]\frac{{\textbf{x}•\textbf{v}}}{c^2}[/itex])

from frame S to frame S' moving with relative velocity [itex]\textbf{v}[/itex].

How to derive this?

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# General form of a Lorentz transformation

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