Questions tagged [potential-energy]
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Energy density of the inflaton field
In the textbook introduction to cosmology by Barbara Ryden, the author say that the energy density of the inflaton field is:
$$\epsilon_{\phi} = \frac{\dot{\phi^2}}{2 \hbar c^3} + V(\phi)$$
However, ...
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How is the potential-density pair relation derived?
How can it be shown that $$\nabla^2\phi = 4\pi G \rho(\vec{r})$$ ?
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Is it coincidence that the change in GPE when falling from deep space into the largest know neutron star is approximately mc squared Joules?
We can calculate the change in GPE in falling from a very long distance to the surface of a star or planet from
$$\Delta{GPE} = \int_{r}^{\infty}mg\,dh $$
But taking into account that g will change ...
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