Kasner geometries inside holographic superconductors

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 presented, including the collapse of the Einstein-Rosen bridge, Josephson oscillations and Kasner inversions/transitions. However, we find that by increasing the EMS coupling parameter, the collapse does not occur near the axion-Reissner-Nordstrom horizon and the oscillations are no longer present; the geometry entering into a Kasner regime after a large-r collapse instead.

Automated summary

This paper introduces modifications to the holographic superconductor model by adding an axion field term and an Einstein-Maxwell-scalar (EMS) coupling term, and explores their effects on the condensate and black hole interior dynamics. It is found that increasing the EMS coupling parameter changes previously observed features, leading to the geometry entering a Kasner regime after a large-r collapse.