From a star to a frozar
- Ordinary stellar phase. The star is much larger than its gravitational radius and relativistic time dilation is modest.
- Relativistic contraction. As the radius decreases, the exterior field grows stronger and clocks deeper in the potential run more slowly relative to distant astronomical time.
- Layer-by-layer slowdown. Different layers approach their limiting radii while remaining part of one extended configuration.
- Gravitational freezing. In the Frozar global-time description, further evolution becomes asymptotically slow and the object approaches a frozen ultra-compact state.
- Long-lived compact object. Radiation emitted from the deepest regions is strongly redshifted and delayed; external observations are dominated by the near-surface environment and accreting matter.
Two descriptions of the same collapse
General Relativity allows many coordinate descriptions. Local freely falling frames emphasize regular local motion and finite proper time. The Frozar program emphasizes that an extended astronomical object also requires a common simultaneity convention if its structure at one “time” is to be discussed. The physical status and observational meaning of that global description are central subjects of the project.
Working comparison
| Question | Standard black-hole interpretation | Frozar framework |
|---|---|---|
| Late stage of collapse | Horizon formation and continuation to an interior black-hole region. | Asymptotic gravitational freezing in the selected global-time description. |
| Surface | No material surface is required after horizon formation. | A highly redshifted, asymptotically frozen material configuration remains relevant. |
| Interior structure | Described by an interior spacetime continuation. | Represented layer by layer on common simultaneity hypersurfaces. |
| Observational task | Test properties of compact objects predicted by black-hole metrics. | Search for surface, redshift, rotation or merger signatures that differ from the standard interpretation. |
This table states the competing interpretations in simplified form; detailed comparisons will be expanded with equations and references.
Planned illustrations
- Worldlines of the surface and internal layers on $t=\mathrm{const}$ hypersurfaces.
- Gravitational time dilation from the center to the surface.
- Photon escape and redshift near the limiting compact configuration.
- Accretion flow around a frozar.
- “Sticking” of two compact objects during a merger.
Peer-reviewed publication in an international journal
The Oppenheimer–Snyder interpretation used here is presented in a peer-reviewed publication in an international journal:
On the consistency of the Oppenheimer–Snyder solution for a dust star. Reply to Marshall’s criticism