- #1
alejandrito29
- 150
- 0
i am read a paper of name: "formalism for an extended object"(in spanish)..
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]?
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]?