Thermodynamics of hairy accelerating black holes in gauged supergravity and beyond

We study the thermodynamics of accelerating asymptotically anti--de Sitter black holes with scalar hair in four-dimensional Einstein-Maxwell-dilaton theories, which can be embedded gauged supergravities for specific dilaton coupling constants. These are described by charged C metrics, have unique features but almost unexplored before. Thermodynamics slowly is generalized to include hair. find that properly accounting mixed boundary conditions field leads standard consistent first law and other thermodynamic relations. compute dual stress-energy tensor mass through holographic renormalization, associated field. also conformal same as mass. Along line, we obtain $U(1{)}^{2}$-charged holes.