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Lorentz transformations on spacetime

  • Thread starter helpcometk
  • Start date
  • #1
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Homework Statement


A3. Show that the Lorentz transformations on a spacetime 4-vector can be written as
x'μ = (Lμν)*(χν)
. Find the matrix L. Prove that (in matrix notation) Lτ gL = g where g is
the Minkowski spacetime metric.


Homework Equations


Any help suggesting at least equations will be appreciated. μ , τ and ν are exponents.


The Attempt at a Solution

 

Answers and Replies

  • #2
tiny-tim
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welcome to pf!

hi helpcometk! welcome to pf! :smile:

(try using the X2 and X2 icons just above the Reply box :wink:)
Show that the Lorentz transformations on a spacetime 4-vector can be written as
x'μ = (Lμν)*(χν)
you should be able to write out L just by looking at the standard Lorentz transformation equations

(and btw, they're not exponents, they're superscripts, or just indices :wink:)
 
  • #3
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Thanks for the reply Tim.
Specifically which expressions i have to take into account?
 
  • #4
tiny-tim
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The standard Lorentz equations :rolleyes:

the ones with x' y' z' t' on the left and x y z t on the right!
 

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