Physics Stack Exchange is a question and answer site for active researchers, academics and students of physics. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

Considering a metric tensor with the signature $(-,+,+,+)$:

$g_{\mu\nu}= \begin{pmatrix} -c^2 & g_{01} & g_{02} & g_{03}\\ g_{10} & a^2 & g_{12} & g_{13}\\ g_{20} & g_{21} & a^2 & g_{23}\\ g_{30} & g_{31} & g_{32} & a^2\\ \end{pmatrix}$

If I switch the signature to $(+,-,-,-)$, what is the form of the new tensor ? $g_{\mu\nu}= \begin{pmatrix} c^2 & ? & ? & ?\\ ? & -a^2 & ? & ?\\ ? & ? & -a^2 & ?\\ ? & ? & ? & -a^2\\ \end{pmatrix}$

share|cite|improve this question
up vote 2 down vote accepted

You multiply the whole metric tensor by a factor of $-1$.

share|cite|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.