Negative temperature for negative lapse function

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 $T(\mathbf{r})<0$, 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 $T(\mathbf{r})$ from the fermions, and thus they may distinguish the spacetimes with positive and negative lapse functions via thermodynamics.

4 pages, 5 figures, version submitted to JETP Letters

References in corpus (4)

• Negative Absolute Temperature for Motional Degrees of Freedom
• Emergent Weyl spinors in multi-fermion systems
• Dimensional crossover of effective orbital dynamics in polar distorted 3He-A: Transitions to anti-spacetime
• Anisotropic 2D Larkin-Imry-Ma state in polar distorted ABM phase of 3He in "nematically ordered" aerogel

Cited by in corpus (6)

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• On the global temperature of the Schwarzschild-de Sitter spacetime
• Comment to the CPT-symmetric Universe: Two possible extensions
• Negative temperature: further extensions
• Two roads to antispacetime in polar distorted B phase: Kibble wall and half-quantum vortex