All Questions
Tagged with adiabatic general-relativity
4
questions
2
votes
1
answer
134
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How to prove that $\gamma \le 2$ for *causal* relativistic polytrope fluids?
The definition of the adiabatic index of a relativistic polytrope fluid is this:
$$\tag{1}
\gamma = \frac{\rho + p}{p} \, \frac{dp}{d\rho},
$$
where $\rho$ is the energy density (not the mass density)....
- 7,592
0
votes
1
answer
80
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Adiabatic sound speed in static spherically-symmetric perfect-fluid solutions (SSSPF) of Einstein field equations (EFE)
Why $\sqrt{dp/d\rho}$ is interpreted in SSSPF solutions as adiabatic speed of sound although the corresponding equations are static? In static world all times derivatives are zero and without wave ...
- 1,948
2
votes
2
answers
386
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What is the adiabatic index of stiff matter?
In relativity, "stiff matter" is described by the relation $p = \rho$, where $p$ is the fluid's pressure and $\rho$ is its total energy density. The sound velocity in stiff matter equals the velocity ...
- 7,592
3
votes
2
answers
285
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What does it mean that an inspiral is 'adiabatic'?
Binary systems emit gravitational radiation. This causes the system to lose energy, which results in a shrinking of the semi-major axis. I have read on countless occasions that this 'inspiral' is ...
- 2,283