In a strong uniform Newtonian gravitational field, the entropy of a monoatomic ideal gas depends on the container's cross-sectional area and is extensive when particle number per unit area is fixed.
One-dimensional quantum channel and Hawking radiation of the Kerr and Kerr-Newman black holes
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In this paper, we review the one-dimensional quantum channel and investigate Hawking radiation of bosons and fermions in Kerr and Kerr-Newman black holes. The result shows the Hawking radiation can be described by the quantum channel. The thermal conductances are derived and related to the black holes' temperatures.
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A note on entropy of matter in presence of gravity: status of extensivity of entropy
In a strong uniform Newtonian gravitational field, the entropy of a monoatomic ideal gas depends on the container's cross-sectional area and is extensive when particle number per unit area is fixed.