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We study the impact of effective interactions onto relationally evolving GFTcondensates based on real-valued fields. In a first step we show that a freecondensate configuration in an isotropic restriction settles dynamically into alow-spin configuration of the quantum geometry. This goes hand in hand with theaccelerated and exponential expansion of its volume, as well as the vanishingof its relative uncertainty which suggests the classicalization of the quantumgeometry. The dynamics of the emergent space can then be given in terms of theclassical Friedmann equations. In contrast to models based on complex-valuedfields, solutions avoiding the singularity problem can only be found if theinitial conditions are appropriately chosen. We then turn to the analysis ofthe influence of effective interactions on the dynamics by studying inparticular the Thomas-Fermi regime. In this context, at the cost offine-tuning, an epoch of inflationary expansion of quantum geometric origin canbe implemented. Finally, and for the first time, we study anisotropic GFTcondensate configurations and show that such systems tend to isotropize quicklyas the value of the relational clock grows. This paves the way to a moresystematic investigation of anisotropies in the context of GFT condensatecosmology.

Relational evolution of effectively interacting GFT quantum gravity condensates