Flat space (higher spin) gravity with chemical potentials
Michael Gary, Daniel Grumiller, Max Riegler, and Jan Rosseel

TL;DR
This paper develops flat space higher spin gravity with chemical potentials, exploring new cosmological solutions, phase transitions, and stability properties, extending Einstein gravity results and revealing novel thermodynamic behaviors.
Contribution
It introduces flat space spin-3 gravity with chemical potentials, analyzing cosmological solutions, entropy, and phase transitions, including stability analysis and singularity resolution.
Findings
Discovery of phase transitions between cosmologies with spin-3 hair
Identification of thermodynamic instability at high temperature or chemical potential
Extension of Einstein gravity results to higher spin flat space gravity
Abstract
We introduce flat space spin-3 gravity in the presence of chemical potentials and discuss some applications to flat space cosmology solutions, their entropy, free energy and flat space orbifold singularity resolution. Our results include flat space Einstein gravity with chemical potentials as special case. We discover novel types of phase transitions between flat space cosmologies with spin-3 hair and show that the branch that continuously connects to spin-2 gravity becomes thermodynamically unstable for sufficiently large temperature or spin-3 chemical potential.
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