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.
Quantum-corrected anti-de Sitter space-time
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abstract
We study the back-reaction of a quantum scalar field on anti-de Sitter (AdS) space-time. The renormalized expectation value of the stress-energy tensor operator for a massless, conformally-coupled quantum scalar field on global AdS space-time in four space-time dimensions acts as a source term on the right-hand-side of the Einstein equations for the quantum-corrected metric. We solve the quantum-corrected Einstein equations numerically and find deviations from pure AdS which increase as the temperature of the quantum scalar field state increases. We interpret these quantum-corrected metrics as asymptotically-AdS solitons, and study the mass of these solitons as a function of the temperature of the quantum scalar field.
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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.