Collapsing Wormholes Sustained by Dustlike Matter
arXiv:2011.05099 · doi:10.3390/universe6100186
Abstract
It is well known that static wormhole configurations in general relativity (GR) are possible only if matter threading the wormhole throat is "exotic"---i.e., violates a number of energy conditions. For this reason, it is impossible to construct {static} wormholes supported only by dust-like matter which satisfies all usual energy conditions. However, this is not the case for non-static configurations. In 1934, Tolman found a general solution describing the evolution of a spherical dust shell in GR. In this particular case, Tolman's solution describes the collapsing dust ball; the inner space--time structure of the ball corresponds to the Friedmann universe filled by a dust. In the present work we use the general Tolman's solution in order to construct a dynamic spherically symmetric wormhole solution in GR with dust-like matter. The solution constructed represents the collapsing dust ball with the inner wormhole space--time structure. It is worth noting that, with the dust-like matter, the ball is made of satisfies the usual energy conditions and cannot prevent the collapse. We discuss in detail the properties of the collapsing dust wormhole.
References in corpus (21)
- Traversable wormholes: Some simple examples
- Wormhole geometries in f(R) modified theories of gravity
- Traversable wormholes from surgically modified Schwarzschild spacetimes
- Wormholes supported by a phantom energy
- Black-bounce to traversable wormhole
- Dynamic wormholes, anti-trapped surfaces, and energy conditions
- Geometry of General Hypersurfaces in Spacetime: Junction Conditions
- Chaplygin traversable wormholes
- Inflating Lorentzian Wormholes
- Evolving Lorentzian Wormholes
- Evolving wormhole geometries within nonlinear electrodynamics
- Vaidya spacetimes, black-bounces, and traversable wormholes
- Dynamic thin-shell black-bounce traversable wormholes
- Phantom fluid supporting traversable wormholes in alternative gravity with extra material terms
- Wormhole dynamics in spherical symmetry
- Wormhole Solutions in Rastall Gravity Theory
- Static and dynamic traversable wormhole geometries satisfying the Ford-Roman constraints
- New definition of wormhole throat
- Stable phantom energy traversable wormhole models
- Dynamical Wormhole Definitions Confronted
- Exactly solvable wormhole and cosmological models with a barotropic equation of state
Cited by in corpus (4)
- Traversable Wormholes in Minimally Geometrical Deformed Trace-Free Gravity using Gravitational Decoupling
- Unimodular Gravity Traversable Wormholes
- Some unusual wormholes in general relativity
- Dynamics of Dissipative Gravitational Collapse in the Morris-Thorne Wormhole Metric: One Scenario -- Several Outcomes