What is recorded here?
Oppenheimer and Snyder construct an explicit pressureless spherical gravitational-collapse model matched to an exterior Schwarzschild geometry, distinguishing finite comoving time from asymptotic external-clock behavior. A distant clock and a clock falling with a star need not describe collapse in the same way. In an ideal spherical cloud with no pressure, the authors solve the gravitational equations and connect the cloud to its exterior field. The external-coordinate description approaches a gravitational-radius limit while the falling matter reaches the relevant stage in finite proper time. This supplies a concrete collapse model, with simplified material and symmetry assumptions rather than a universal account of all dying stars.
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Scientific scope
The analytic collapse model is spherical, pressureless and uses a specified interior/exterior matching and initial-data subclass. Rotation, radiation and pressure are omitted. Diverging Schwarzschild coordinate time does not mean infall physically stops or takes infinite comoving time. The paper’s broader singularity assertions are not adopted as a general theorem; later causal/singularity results remain separate.
Read the original work
- J. R. Oppenheimer and H. Snyder, On Continued Gravitational Contraction (Physical Review 56,455-459,1 September1939), original public scan
- B. Datt, Über eine Klasse von Lösungen der Gravitationsgleichungen der Relativität (Zeitschrift für Physik 108,314-321,May 1938), publisher metadata
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People and systems
J. R. Oppenheimer; H. Snyder
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English catalogue narrative
Oppenheimer and Snyder: a spherical model of gravitational collapse
Oppenheimer and Snyder construct an explicit pressureless spherical gravitational-collapse model matched to an exterior Schwarzschild geometry, distinguishing finite comoving time from asymptotic external-clock behavior.
A distant clock and a clock falling with a star need not describe collapse in the same way. In an ideal spherical cloud with no pressure, the authors solve the gravitational equations and connect the cloud to its exterior field. The external-coordinate description approaches a gravitational-radius limit while the falling matter reaches the relevant stage in finite proper time. This supplies a concrete collapse model, with simplified material and symmetry assumptions rather than a universal account of all dying stars.
Scientific scope
The analytic collapse model is spherical, pressureless and uses a specified interior/exterior matching and initial-data subclass. Rotation, radiation and pressure are omitted. Diverging Schwarzschild coordinate time does not mean infall physically stops or takes infinite comoving time. The paper’s broader singularity assertions are not adopted as a general theorem; later causal/singularity results remain separate.
People and systems
J. R. Oppenheimer; H. Snyder