# Kasner geometries inside holographic superconductors

@inproceedings{Sword2021KasnerGI,
title={Kasner geometries inside holographic superconductors},
author={Lewis Sword and David Vegh},
year={2021}
}
• Published 28 December 2021
• Physics
The recent study of holographic superconductors has shown the emergence of a Kasner universe behind the event horizon. This paper serves to add to the discussion by introducing two modiﬁcations to the holographic superconductor model: an axion ﬁeld term and an Einstein-Maxwell-scalar (EMS) coupling term. We ﬁrst discuss the eﬀect the modiﬁcation parameters have on the condensate then explore the black hole interior dynamics. Features previously identiﬁed in the interior are found in the model…
6 Citations

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## References

SHOWING 1-10 OF 35 REFERENCES

### Diving into a holographic superconductor

• Physics
• 2020
Charged black holes in anti-de Sitter space become unstable to forming charged scalar hair at low temperatures $T < T_\text{c}$. This phenomenon is a holographic realization of superconductivity. We

### Holographic Superconductors

• Physics
• 2008
: It has been shown that a gravitational dual to a superconductor can be obtained by coupling anti-de Sitter gravity to a Maxwell ﬁeld and charged scalar. We review our earlier analysis of this

### Holographic flows from CFT to the Kasner universe

• Physics
• 2020
The Schwarzschild singularity is known to be classically unstable. We demonstrate a simple holographic consequence of this fact, focusing on a perturbation that is uniform in boundary space and time.

### Holography without translational symmetry

We propose massive gravity as a holographic framework for describing a class of strongly interacting quantum field theories with broken translational symmetry. Bulk gravitons are assumed to have a

### A simple holographic model for spontaneous breaking of translational symmetry

• Physics
The European Physical Journal C
• 2019
It has been shown that holographic massive gravities can effectively realize spontaneous breaking of translational symmetry in homogenous manners. In this work, we consider a toy model of such

### A simple holographic superconductor with momentum relaxation

• Physics
• 2015
A bstractWe study a holographic superconductor model with momentum relaxation due to massless scalar fields linear to spatial coordinates(ψI = βδIixi), where β is the strength of momentum relaxation.

### Gravitational duals to the grand canonical ensemble abhor Cauchy horizons

• Physics
• 2020
The gravitational dual to the grand canonical ensemble of a large N holographic theory is a charged black hole. These spacetimes — for example Reissner- Nordstrom-AdS — can have Cauchy horizons that

### Ground states of holographic superconductors

• Physics
• 2009
We investigate the ground states of the Abelian Higgs model in AdS{sub 4} with various choices of parameters, and with no deformations in the ultraviolet other than a chemical potential for the

### What’s inside a hairy black hole in massive gravity?

• Physics
Journal of High Energy Physics
• 2021
Abstract In the context of massive gravity theories, we study holographic flows driven by a relevant scalar operator and interpolating between a UV 3-dimensional CFT and a trans-IR Kasner universe.

### A simple holographic model of momentum relaxation

• Physics, Geology
• 2014
A bstractWe consider a holographic model consisting of Einstein-Maxwell theory in d + 1 bulk spacetime dimensions with d − 1 massless scalar fields. Momentum relaxation is realised simply through