Interior of helical black holes

Abstract

We study the interior structure of five dimensional neutral helical black holes in Einstein gravity and charged helical black holes in Einstein-Maxwell gravity. Inside the neutral helical black holes, the systems evolve to a stable spacelike Kasner singularity. The metric field related to the helical deformation strength exhibits oscillation behavior close to the horizon at low temperature and small helical deformation strength. Inside the charged helical black holes, we show that the inner Cauchy horizon can not exist. The systems also evolve from the horizon to a stable Kasner singularity. We find that the oscillations can exist and there is a special feature that the oscillations occur near the horizon and before the collapse of the Einstein-Rosen bridge for the charged helical black holes.

AdS black holes with a bouncing interior

“…4 we verify that the expression (24) gives an excellent description of the bounces found numerically in §3. It may be noted that the equation (23) and solution (24) are somewhat similar, but not quite identical, to the approximate analytic description of 'Kasner inversions' of charged black holes obtained in [14,33]. A difference with the Kasner inversions is that here the metric component g t t continues to collapse towards zero across all transitions.…”

“…A recent body of work has demonstrated that a common feature of (minisuperspace) holographic interiors is the emergence of Kasner scaling towards the singularity [11,[13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. The negative cosmological constant becomes irrelevant at late interior times, and therefore the well-studied approach to spacelike singularities in gravity without a cosmological constant is recovered.…”

Anisotropic flows into black holes

“…For example, we may consider flows which break translation invariance and thus describe phonons. Simple flows of this kind include those for which the dynamics are governed by ODEs [56][57][58][59][60]. We may also take the striped superconductor [61,62], but this is more complicated because the dynamics are governed by PDEs and would thus require more powerful numerical techniques.…”

What lies beyond the horizon of a holographic p-wave superconductor

“…The interior has subsequently been subjected to further study. This includes the introduction of additional field content and variation of coupling parameters [19][20][21][22][23], use of alternative black hole solutions [24][25][26], analysis of RG flows [27,28], as well as the construction of "no inner-horizon" theorems [29]. Interior solutions for the p-wave model are now also being investigated, with the analogous changes in geometry and matter fields being observed [30].…”