Global equilibrium and local thermodynamics in stationary spacetimes

Abstract

In stationary spacetimes global equilibrium states can be defined, applying the maximum entropy principle, by the introduction of local thermodynamic fields determined solely by geometry. As an example, we study a class of equilibrium states for a scalar field in Einstein's static universe, characterized by inhomogeneous thermodynamic properties and nonvanishing angular momentum.

9 pages; v2: minor changes, published version; v3: reintroduced a paragraph from v1

References in corpus (3)

• Local thermodynamical equilibrium and the beta frame for a quantum relativistic fluid
• Quantum corrections to the stress-energy tensor in thermodynamic equilibrium with acceleration
• Unruh versus Tolman: On the heat of acceleration

Cited by in corpus (6)

• Exact equilibrium distributions in statistical quantum field theory with rotation and acceleration: scalar field
• Helical massive fermions under rotation
• Maxwell-Juttner distribution for rigidly-rotating flows in spherically symmetric spacetimes using the tetrad formalism
• Analysis of scalar and fermion quantum field theory on anti-de Sitter space-time
• Vortical Effects for Free Fermions on Anti-De Sitter Space-Time
• Gradient corrections to the local-equilibrium energy-momentum tensor in the Zubarev approach