# Stress energy tensor 5d

#### alejandrito29

In a space time $$5D$$, the action for the brane $$4D$$ is:

$$\int dx^4 \sqrt{-h}$$

In the Randall Sundrum the action for the hidden brane is:
$$V_0\int dx^4 \sqrt{-h}$$, where $$V_0$$ is the tension on the brane hidden.

$$T_{MN}= V_0 h_{uv} \delta^u_M \delta^v_N \delta(\phi)$$, where $$\phi$$ is the extra dimention.

In other paper, where $$T_{MN}$$ is not diagonal, for example in the friedman equation in http://arxiv.org/abs/hep-th/0303095v1 (page 6)...

$$T_{00}= -\rho \delta(\phi)$$
$$T_{ii}= p \delta(\phi)$$
the other component are zero.

I understand thar $$\rho , p$$ are energy density and presion

If , i use other embedding my energy stress tensor is
$$T_{00}= - \delta(\phi)$$
$$T_{ii}= \delta(\phi)$$
$$T_{0 \phi}= \delta(\phi)$$
$$T_{\phi \phi}= \delta(\phi)$$

¿can i to multiply the each component of the stress tensor by differents constants???...for example:
$$T_{00}= - k_1 \delta(\phi)$$
$$T_{ii}= k_2 \delta(\phi)$$
$$T_{0 \phi}= k_3 \delta(\phi)$$
$$T_{\phi \phi}= k_4 \delta(\phi)$$

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"Stress energy tensor 5d"

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