Negative temperature for negative lapse function

G. E. Volovik

doi:10.1134/s002136401901003x

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arXiv · 1806.06554

Negative temperature for negative lapse function

G. E. Volovik

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Abstract

Fermion dynamics distinguishes spacetimes having the same metric $g_{\mu\nu}$, but different tetrads $e_{\mu a}$, and in particular, it distinguishes a lapse with negative sign, $N<0$.[1] Here we show that the quasiequilibrium thermodynamic state may exist, in which the region with $N<0$ has negative local temperature $T({\bf r})<0$, while the global Tolman temperature $T_0$ remains positive. For bosons, only $N^2$ matters. However, if bosons are composite, they may inherit the negative $T({\bf r})$ from the fermions, and thus they may distinguish the spacetimes with positive and negative lapse functions via thermodynamics.

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BibTeX RIS

G. E. Volovik. 2018-06-18. Negative temperature for negative lapse function. https://doi.org/10.1134/s002136401901003x

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