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Question about deriving the amount of pressure due to an element of momentum space in cosmology (Baumann Cosmology Book Eq. 3.10)
In Daniel Baumann's cosmology book Eq. (3.10) and cosmology lecture notes Eq. (3.2.18) he states that the pressure in the early universe can be defined as
$$P=\frac g{(2\pi)^3}\int d^3 p\ f(p)\times\...
- 394
6
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Derivation of relativistic pressure
As you can find in many cosmology textbooks, the relativistic pressure in quantum statistical mechanics can be witten as below:
$$p=g \int \frac{d^3P}{(2 \pi \hbar)^3} \frac{c^2 |\mathbf{P}|^2}{3E(\...
- 83
4
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Pressure in Scott Dodelson's book Modern Cosmology
I am completely at a loss in deriving the equation 2.62 given in Scott Dodelson's Modern Cosmology book. That is the following expression for the pressure of Fermi-Dirac and Bose-Einstein ...
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