thermodynamics and multi-horizon solutions in quartic quasitopological gravity: a power-maxwell approach

We derive exact black hole solutions in (n + 1)-dimensional fourth-order quasitopological gravity (4qtg) coupled to power-maxwell electrodynamics. thermodynamic properties (entropy, temperature, electric potential) are analyzed, verifying the first law. crucially, thermal stability is exclusively achievable in asymptotically ads spacetimes, while ds and flat solutions exhibit universal instability. the study reveals that 4qtg supports multi-horizon black holes even without charge—a feature absent in einstein gravity—due to repulsive effects of quartic curvature terms. these results highlight the role of higher-curvature corrections in resolving classical limitations of general relativity and provide new insights for ads/cft correspondence.