This study explores confinement-deconfinement transition properties of SU(3) Yang–Mills theory under weak accelerations at finite temperatures, using first-principles lattice simulations. The
system is formulated in the Rindler spacetime, and the properties are studied from the perspective of a co-accelerating observer situated at the center of the lattice. We found that spatially separated
confinement and deconfinement phases can coexist in the Rindler spacetime within certain intervals of temperature and acceleration. The position of the boundary between the phases is calculated as
a function of temperature for several accelerations, and it is in accordance with the TE prediction, although a small deviation is observed. Moreover, in the weak acceleration regime, the critical
temperature of the system is found to coincide with that of non-accelerated gluodynamics