Lemaître–Tolman–Bondi solutions have traditionally been confined to systems

with no pressure in which the gravity is due to massive dust, but the solutions are

little changed in form if, as in cosmology, the pressure is uniform in space at each

comoving time. This allows the equations of cosmology to be deduced in a manner

that more closely resembles classical mechanics. It also gives some inhomogeneous

solutions with growing condensations and black holes. We give criteria by

which the sizes of different closed models of the Universe can be compared and

discuss conditions for self-closure of inhomogeneous cosmologies with a L-term.

with no pressure in which the gravity is due to massive dust, but the solutions are

little changed in form if, as in cosmology, the pressure is uniform in space at each

comoving time. This allows the equations of cosmology to be deduced in a manner

that more closely resembles classical mechanics. It also gives some inhomogeneous

solutions with growing condensations and black holes. We give criteria by

which the sizes of different closed models of the Universe can be compared and

discuss conditions for self-closure of inhomogeneous cosmologies with a L-term.

typ: | article |
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journal: | Class. Quantum Grav. |

volume: | 33 |

pages: | 075001 |

year: | 2016 |