Space-Times with Integrable Singularity

Abstract

We use the phenomenological approach to study properties of space-time in the vicinity of the Schwarzschild black-hole singularity. Requiring finiteness of the Schwarzschild-like metrics we come to the notion of integrable singularity that is, in a sense, weaker than the conventional singularity and allows the (effective) matter to pass to the white-hole region. This leads to a possibility of generating a new universe there. Thanks to the gravitational field of the singularity, this universe is already born highly inflated ('singularity-induced inflation') before the ordinary inflation starts.

13 pages, 2 figures, IJMPA style

References in corpus (13)

• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Modified Gravity and Cosmology
• The Galactic Center Massive Black Hole and Nuclear Star Cluster
• Effective Action of Vacuum: Semiclassical Approach
• Power Asymmetry in Cosmic Microwave Background Fluctuations from Full Sky to Sub-degree Scales: Is the Universe Isotropic?
• The Dipole Anisotropy of the 2 Micron All-Sky Redshift Survey
• How Many New Worlds Are Inside a Black Hole?
• No realistic wormholes from ghost-free scalar-tensor phantom dark energy
• Radial motion into an Einstein-Rosen bridge
• The paradox of soft singularity crossing and its resolution by distributional cosmological quantitities
• Generation of Cosmological Flows in General Relativity (Features and Properties of Integrable Singularities)
• From the cosmological model to generation of the Hubble flow
• Unconventional string-like singularities in flat spacetime

Cited by in corpus (27)

• Notes on non-singular models of black holes
• The Null Energy Condition and its violation
• Information loss problem and a `black hole' model with a closed apparent horizon
• Towards conditions for black-hole singularity-resolution in asymptotically safe quantum gravity
• Quantum rotating black holes
• Consistent NEC-violation: towards creating a universe in the laboratory
• Formation and evaporation of quantum black holes from the decoupling mechanism in quantum gravity
• Black Holes in Asymptotically Safe Gravity
• Schwarzschild black hole revisited: Before the complete collapse
• Black holes without Cauchy horizons and integrable singularities
• Quantum dust cores of black holes
• Scale-invariance at the core of quantum black holes
• Entanglement entropy in quantum black holes
• Cosmology from Schwarzschild black hole revisited
• Physical and Theoretical Challenges to Integrable Singularities
• A new representation of vacuum Lovelock solutions in $d=2N+1$ dimensions: Black holes with an integrable singularity and regular black holes
• New models of d-dimensional black holes without inner horizon and with an integrable singularity
• CPTM symmetry, closed time paths and cosmological constant problem in the formalism of extended manifold
• Effective geometrodynamics for renormalization-group improved black-hole spacetimes in spherical symmetry
• On Schwarzschild black hole singularity formation
• Mass (re)distribution for quantum dust cores of black holes
• Singularity and differentiability at the origin of static and spherically symmetric black holes
• An Interior Solution for the Kerr Metric: A Novel Approach
• Coherent electrically-charged quantum black holes
• An analytic model for a total process of gravitational collapse: From star to Schwarzschild black hole
• Reissner Nordstrom black holes with integrable singularity interiors supported by string distributions
• Interior evolution of regular Schwarzschild black holes