Singularities, initial and boundary problems of the Tolman-Bondi model

Gromov, Alexander

Singularities, initial and boundary problems of the Tolman-Bondi model

Alexander Gromov
(
- St. Petersburg Polytechnic Inst.
)

Sep, 1997

7 pages

e-Print:

gr-qc/9709008 [gr-qc]

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Abstract: (arXiv)

Boundary problem for Tolman-Bondi model is formulated. One-to-one correspondence between singularities hypersurfaces and initial conditions of the Tolman-Bondi model is constructed.

References(4)

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Spherically symmetrical models in general relativity

H. Bondi
(
- Trinity Coll., Cambridge
)

- Mon.Not.Roy.Astron.Soc. 107 (1947) 410-425
•
DOI:
- 10.1093/mnras/107.5-6.410

The Tolman-Bondi model in the Ruban-Chernin coordinates. 1. Equations and solutions

Alexander Gromov
(
- St. Petersburg Polytechnic Inst.
)

e-Print:
- gr-qc/9612038

- Astrophys.J. 233 395

Effect of imhomogeneity on cosmological models

Richard C. Tolman
(
- Caltech
)

- Proc.Nat.Acad.Sci. 20 (1934) 169-176,
- Gen.Rel.Grav. 29 (1997) 935
•
DOI:
- 10.1073/pnas.20.3.169