i am read a paper of name: "formalism for an extended object"(in spanish)..(adsbygoogle = window.adsbygoogle || []).push({});

a sub manifold of coordinates [tex]y^i[/tex] i=0....p embebed in a manifold with coordinates [tex]x^u[/tex] u=0...D with metric [tex]g_{uv}[/tex]

the induced metric is:

[tex]h_{ij}=d_ix^ud_jx^vg_{uv}[/tex]

The paper says that the energy momentum tensor is:

[tex]T^{uv}(Z^a)= \int\! dy^{p+1} \, \frac{\sqrt{h}}{\sqrt{g}}h^{ij}d_ix^ud_jx^v \delta (x^a-Z^a)[/tex]

but the paper does not say : ¿what is [tex]Z^a[/tex] and [tex]x^a[/tex]?

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# Formalism for an extended object

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