Regular black holes, universes without singularities, and phantom-scalar field transitions

Abstract

We consider a procedure of elimination of cosmological singularities similar to that suggested in the recent paper by Simpson and Visser for the construction of regular black holes. It is shown that by imposing a non-singular cosmological evolution with a bounce in a flat Friedmann universe filled with a minimally coupled scalar field, we obtain a transition between the standard scalar field and its phantom counterpart. In this case, the potential of the scalar field has a non-analyticity of the cusp type. This result is also readily reproduced in the case of an anisotropic Bianchi I universe. We have also found a spherically symmetric static solution of the Einstein equations, free of singularities and sustained by a scalar field.

arXiv commentslightly expanded, with updated references and conceptual clarifications. Matches the published version

References in corpus (31)

• The galileon as a local modification of gravity
• Pre-Big-Bang in String Cosmology
• The Pre-Big Bang Scenario in String Cosmology
• Imperfect Dark Energy from Kinetic Gravity Braiding
• Can dark energy evolve to the Phantom?
• Black-bounce to traversable wormhole
• Galilean Genesis: an alternative to inflation
• A Short Review of Loop Quantum Gravity
• G-Bounce
• Field sources for Simpson-Visser space-times
• Charged black-bounce spacetimes
• Antigravity and the big crunch/big bang transition
• Vaidya spacetimes, black-bounces, and traversable wormholes
• Smooth dynamical (de)-phantomization of a scalar field in simple cosmological models
• Chaos in Quantum Cosmology
• On black bounces, wormholes and partly phantom scalar fields
• Transformations between Jordan and Einstein frames: Bounces, antigravity, and crossing singularities
• Sailing through the big crunch-big bang transition
• General solution of scalar field cosmology with a (piecewise) exponential potential
• Simplest cosmological model with the scalar field
• A generalisation of the Heckmann - Schucking cosmological solution
• Regular black holes from semi-classical down to Planckian size
• Nonsingular cosmological models with strong gravity in the past
• Duality between static spherically or hyperbolically symmetric solutions and cosmological solutions in scalar-tensor gravity
• Dark matter effects in vacuum spacetime
• Gravity of a static massless scalar field and a limiting Schwarzschild-like geometry
• Topological entropy for some isotropic cosmological models
• Networks of cosmological histories, crossing of the phantom divide line and potentials with cusps
• From pre- to post-big bang: an (almost) self-dual cosmological history
• Generalized unimodular gravity in Friedmann and Kantowski-Sachs universes
• The eye of the storm: A regular Kerr black hole

Cited by in corpus (15)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Source of black bounces in general relativity
• Quasinormal modes-shadow correspondence for rotating regular black holes
• Primordial regular black holes as all the dark matter. II. Non-time-radial-symmetric and loop quantum gravity-inspired metrics
• Primordial regular black holes as all the dark matter. I. Time-radial-symmetric metrics
• AdS Black String in a Cosmic Web: Geodesics, Shadows, and Thermodynamics
• Trinity of black hole correspondences: Shadows, quasinormal modes, graybody factors, and cautionary remarks
• Cylindrical black bounces and their field sources
• Newman-Janis algorithm's application to regular black hole models
• Importance of being nonminimally coupled: Scalar Hawking radiation from regular black holes
• Topological regular black holes without Cauchy horizon
• Primordial regular black holes as all the dark matter. III. Covariant canonical quantum gravity models
• Phantom hairy black holes and wormholes in Einstein-bumblebee gravity
• Regular Friedmann Universes and Matter Transformations
• Again About Singularity Crossing In Gravitation And Cosmology