Black hole singularities: a new critical phenomenon

Abstract

The singularitiy inside a spherical charged black hole, coupled to a spherical, massless scalar field is studied numerically. The profile of the characteristic scalar field was taken to be a power of advanced time with an exponent $\alpha >0$. A critical exponent ${\alpha }_{\mathrm{crit}}$ exists. For exponents below the critical one ($\alpha <{\alpha }_{\mathrm{crit}}$) the singularity is a union of spacelike and null sectors, as is also the case for data with compact support. For exponents greater than the critical one ($\alpha >{\alpha }_{\mathrm{crit}}$) an all-encompassing, spacelike singularity evolves, which completely blocks the ``tunnel'' inside the black hole, preventing the use of the black hole as a portal for hyperspace travel.

4 pages, 5 eps figures; An Erratum is added. The main conclusions of the original Letter are unchanged

References in corpus (2)

• Oscillatory null singularity inside realistic spinning black holes
• Survival of the black hole's Cauchy horizon under non-compact perturbations

Cited by in corpus (27)

• Critical phenomena in gravitational collapse
• Classes of Exact Solutions to the Teukolsky Master Equation
• Exploring New Physics Frontiers Through Numerical Relativity
• The physics of the relativistic counter-streaming instability that drives mass inflation inside black holes
• Passage of radiation through wormholes
• Outgoing gravitational shock-wave at the inner horizon: The late-time limit of black hole interiors
• Late-time evolution of charged massive Dirac fields in the Reissner-Nordström black-hole background
• Physics of the interior of a spherical, charged black hole with a scalar field
• Novel Cauchy-horizon instability
• Interior of a Charged Distorted Black Hole
• Mass Inflation in Brans-Dicke gravity
• Accretion with back reaction
• Hawking radiation inside a charged black hole
• Physics of the interior of a black hole with an exotic scalar matter
• The interior structure of rotating black holes 2. Uncharged black holes
• Inside charged black holes II. Baryons plus dark matter
• Is it possible to see the infinite future of the Universe when falling into a black hole?
• Geometry near the inner horizon of a rotating, accreting black hole
• Distorted stationary rotating black holes
• Mass inflation in a D dimensional Reissner-Nordstrom black hole: a hierarchy of particle accelerators ?
• Inside charged black holes I. Baryons
• Renormalization of $⟨{\varphi }^2⟩$ at the inner horizon of rotating, accreting black holes
• Black hole nonmodal linear stability: odd perturbations of Reissner-Nordström
• Gravitational shock wave inside a steadily-accreting spherical charged black hole
• Charged Black Holes from Interacting Vacuum
• Perturbation theory of spherically symmetric self-similar black holes
• Revisiting Schwarzschild black hole singularity through string theory