
We construct exact hairy AdS soliton solutions in Einstein-dilaton gravity theory. We examine their thermodynamic properties and discuss the role of these solutions for the existence of first order phase transitions for hairy black holes. The negative energy density associated to hairy AdS solitons can be interpreted as the Casimir energy that is generated in the dual filed theory when the fermions are antiperiodic on the compact coordinate.
12 pages, no figures; v2: small changes and fixed typos
High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), Black holes, Physics, QC1-999, FOS: Physical sciences, Exact solutions to problems in general relativity and gravitational theory, General Relativity and Quantum Cosmology (gr-qc), Relativistic gravitational theories other than Einstein's, including asymmetric field theories, General Relativity and Quantum Cosmology
High Energy Physics - Theory, Nuclear and High Energy Physics, High Energy Physics - Theory (hep-th), Black holes, Physics, QC1-999, FOS: Physical sciences, Exact solutions to problems in general relativity and gravitational theory, General Relativity and Quantum Cosmology (gr-qc), Relativistic gravitational theories other than Einstein's, including asymmetric field theories, General Relativity and Quantum Cosmology
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