Boundary conditions for metric fluctuations in Lifshitz

Abstract

We consider the quantisation of linearised fluctuations of the metric and matter fields about a Lifshitz background, exploring the possibility of alternative boundary conditions, allowing the slow fall-off modes to fluctuate. We find that for $z>2$, slow fall-off modes for some of the linearised fluctuations are normalizable, which opens up the possibility of considering alternative boundary conditions. Analysing stability, we find that alternative boundary conditions for the momentum density are allowed, but alternative boundary conditions for the energy density lead to an instability of the type we recently discovered in a similar analysis for scalar fields on a fixed Lifshitz background. Our investigation is in the context of the simple massive vector model, but we would expect the conclusions to be more general.

arXiv comment35 pages, 11 figures

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Cited by in corpus (15)

• Boundary Stress-Energy Tensor and Newton-Cartan Geometry in Lifshitz Holography
• Lifshitz holography
• Entanglement thermodynamics for an excited state of Lifshitz system
• What do non-relativistic CFTs tell us about Lifshitz spacetimes?
• Holographic complexity for Lifshitz system
• Schrodinger Holography for z<2
• Thermoelectric DC conductivities in hyperscaling violating Lifshitz theories
• Logarithmic two-Point Correlation Functions from a z = 2 Lifshitz Model
• Scalar Boundary Conditions in Lifshitz Spacetimes
• Information theoretic measures for Lifshitz system
• Quantum Critical Diffusion and Thermodynamics in Lifshitz Holography
• Stability of Bianchi attractors in Gauged Supergravity
• Schrödinger Holography with $z=2$
• Spread of Entanglement in Non-Relativistic Theories
• Gravitational quasinormal modes for Lifshitz black branes