- #1
rbwang1225
- 118
- 0
I got the general form of a Lorentz transformation in a GR book,
[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?
[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?