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- W4200631389 abstract "We investigate novel exact solutions to an Einstein-Maxwell theory non-minimally coupled to a self-interacting dilaton-like scalar. Extending the results of arXiv: 2012.13412 and 2110.04445, we report three families of exact configurations over a non-relativistic Schrodinger background with both, arbitrary dynamical critical exponent $z$ and hyperscaling violating parameter $theta$. Concretely, we provide field configurations with hyperscaling violation which are asymptotically Schrodinger spaces. Our solutions correspond to three kinds: a zero-temperature background, a naked singularity and, more interestingly, a family of black holes. To the later, we construct the corresponding Carter-Penrose diagram with a view to understand their causal structure given the non-standard background. We show that a non-trivial hyperscaling violation parameter $theta$ is necessary in order to support a real non-constant dilaton field in the configuration. We explore how the relation between the hyperscaling violation parameter and the critical dynamical exponent determine, in combination with the spacetime dimension, the kinematic aspects of the fields. We provide a thorough study of the thermodynamics including the quasi-local computation of charges, the verification of the first law and arguments concerning the stability. Lastly, we explore the effects in the thermodynamics from varying the rich parameter space. We pay special attention in comparing the qualitative behavior of the thermodynamics scalar-free solutions and the ones with a nontrivial dialton." @default.
- W4200631389 created "2021-12-31" @default.
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- W4200631389 date "2021-12-23" @default.
- W4200631389 modified "2023-10-14" @default.
- W4200631389 title "Anisotropic Schrodinger black holes with hyperscaling-violation" @default.
- W4200631389 doi "https://doi.org/10.48550/arxiv.2112.12805" @default.
- W4200631389 hasPublicationYear "2021" @default.
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