Help with identifying a reference for the time-invariant Kaluza-Klein metric

user1139
Messages
71
Reaction score
8
Homework Statement:: Please see below.
Relevant Equations:: Please see below.

I am trying to find a reference to a textbook or a paper that details the following time-invariance Kaluza-Klein metric:

\begin{equation}
\mathrm{d}s^2_{(5)}=\lambda_{ab}\left(\mathrm{d}x^a+\omega^{a}_{\phantom{a}i}\mathrm{d}x^i\right)(\mathrm{d}x^b+\omega^{b}_{\phantom{b}j}\mathrm{d}x^j)+\frac{1}{\tau}h_{ij}\mathrm{d}x^i\mathrm{d}x^j.
\end{equation}

So far, I can only find sources for the Kaluza-Klein metric but not it's time-invariant version. Can someone point me to a relevant reference?
 
Physics news on Phys.org
I guess you tried the classical books on M-theory and Superstring of Joseph Polichinski, GWS green books or Kaku's books. (mind you, Kaku has also popular books but I am referring to his technical books).
Have you?
 
Yes @MathematicalPhysicist I have perused Polichinski's book in particular and could not find a mention of the time-invariant Kaluza-Klein metric.
 
I seem to notice a buildup of papers like this: Detecting single gravitons with quantum sensing. (OK, old one.) Toward graviton detection via photon-graviton quantum state conversion Is this akin to “we’re soon gonna put string theory to the test”, or are these legit? Mind, I’m not expecting anyone to read the papers and explain them to me, but if one of you educated people already have an opinion I’d like to hear it. If not please ignore me. EDIT: I strongly suspect it’s bunk but...
I'm trying to understand the relationship between the Higgs mechanism and the concept of inertia. The Higgs field gives fundamental particles their rest mass, but it doesn't seem to directly explain why a massive object resists acceleration (inertia). My question is: How does the Standard Model account for inertia? Is it simply taken as a given property of mass, or is there a deeper connection to the vacuum structure? Furthermore, how does the Higgs mechanism relate to broader concepts like...

Similar threads

Back
Top