About the temperature of moving bodies
T. S. Bir\'o, P. V\'an

TL;DR
This paper develops a relativistic thermodynamics framework based on special relativistic hydrodynamics, analyzing temperature transformations for moving bodies and comparing different historical formulas.
Contribution
It introduces a relativistic four-current for heat and provides a unified treatment of thermal equilibrium in moving bodies, clarifying various temperature transformation formulas.
Findings
Derived a relativistic four-current for heat.
Unified treatment of thermal equilibrium in relativistic context.
Compared different temperature transformation formulas.
Abstract
Relativistic thermodynamics is constructed from the point of view of special relativistic hydrodynamics. A relativistic four-current for heat and a general treatment of thermal equilibrium between moving bodies is presented. The different temperature transformation formulas of Planck and Einstein, Ott, Landsberg and Doppler appear upon particular assumptions about internal heat current.
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