DSpace Repository :: Browsing by Author "Quijada Barrera, Constanza Del Pilar"

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The thermodynamic role of solitons in the phase space of (super)gravity.
(Universidad de Concepción, 2024) Quijada Barrera, Constanza Del Pilar; Oliva, Julio; Anabalón, Andrés
In this thesis we study the phase transitions between the planar charged black hole and the charged AdS soliton, which are solutions to the Einstein-AdS theory coupled to linear and non-linear electrodynamics theory. The analysis is carried out in the grand canonical ensemble. The charged planar soliton is obtained as a double analytic continuation of the charged black hole metric, which also involves analytically continuing the electric charge, therefore it appears a magnetic charge on the soliton solution which is associated with a magnetic flux along the non-cyclic planar coordinate. In the case of Einstein-Maxwell theory with negative cosmological constant, we show that there are phase transitions between both solutions depending on the values of electric potential, magnetic flux and temperature. On the other hand, when it is considered the gravitational theory coupled to a non-linear electrodynamics, we show that the phase space of the theory is very rich, containing reen trant phase transitions, as well as triple points, for small values of the coupling controlling the non-linearity of the electrodynamics Lagrangian.