For a massless conformally coupled scalar field in rigidly rotating thermal states on AdS3 and AdS4, relativistic kinetic theory approximates the quantum stress-energy tensor well at high temperatures, and the quantum heat flux always opposes the rotation.
Boundary conditions for isolated asymptotically anti-de Sitter spacetimes
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abstract
We revisit the propagation of classical scalar fields in a spacetime which is asymptotically anti-de Sitter. The lack of global hyperbolicity of the underlying background gives rise to an ambiguity in the dynamical evolution of solutions of the wave equation, requiring the prescription of extra boundary conditions at the conformal infinity to be fixed. We show that the only boundary conditions tha are compatible with the hypothesis that the system is isolated, as defined by the (improved) energy-momentum tensor, are of Dirichlet and Neumann types.
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Quantum effects in rotating thermal states on anti-de Sitter space-time
For a massless conformally coupled scalar field in rigidly rotating thermal states on AdS3 and AdS4, relativistic kinetic theory approximates the quantum stress-energy tensor well at high temperatures, and the quantum heat flux always opposes the rotation.