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Article overview
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Compressibility of rotating black holes | Brian P Dolan
; | Date: |
1 Sep 2011 | Abstract: | Interpreting the cosmological constant as a pressure, whose thermodynamically
conjugate variable is a volume, modifies the first law of black hole
thermodynamics. Properties of the resulting thermodynamic volume are
investigated: the compressibility and the speed of sound of the black hole are
derived in the case of non-positive cosmological constant. The adiabatic
compressibility vanishes for a non-rotating black hole and is maximal in the
extremal case --- comparable with, but still less than, that of a cold neutron
star. A speed of sound $v_s$ is associated with the adiabatic compressibility,
which is is equal to $c$ for a non-rotating black hole and decreases as the
angular momentum is increased. An extremal black hole has $v_s^2=0.9 ,c^2$
when the cosmological constant vanishes, and more generally $v_s$ is bounded
below by $c/ {sqrt 2}$. | Source: | arXiv, 1109.0198 | Services: | Forum | Review | PDF | Favorites |
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