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2016

Stability of Charged Global AdS$_4$ Spacetimes

Arias, Raúl, Mas, Javier, Serantes, Alexandre

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We study linear and nonlinear stability of asymptotically AdS$_4$ solutions in Einstein-Maxwell-scalar theory.

After summarizing the set of static solutions we first examine thermodynamical stability in the grand canonical ensemble and the phase transitions that occur among them.
In the second part of the paper we focus on nonlinear stability in the microcanonical ensemble by evolving radial perturbations numerically.
We find hints of an instability corner for vanishingly small perturbations of the same kind as the ones present in the uncharged case.