Holographic Phase Transitions in (2+1)-dimensional black hole spacetimes in NMG
Abstract
In this work we aim at the question of holographic phase transitions in two dimensional systems with Lifshitz scaling. We consider the gravity side candidate for a dual description as the black hole solution of New Massive Gravity (NMG) with Lifshitz scaling. We discuss the effects due to the Lifshitz scaling in the AGGH (Ayon-Beato-Garbarz-Giribet-Hassa\"ine) solution in comparison with the BTZ (Ba\~nados-Teitelboim-Zanelli) black hole. Likewise, we compute the order parameter and it indicates a second order phase transition in a (1+1) dimension Lifshitz boundary.
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