The Lemaitre Model and the Generalisation of the Cosmic Mass

Details The Lemaitre Model and the Generalisation of the Cosmic Mass The Lemaitre Model and the Generalisation of the Cosmic Mass

2009-06-12

arxiv.org/abs/0906.2343v4

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

latex, 16 pages, Revision has minor changes due to referee's comments.

Scientific paper

We consider the spherically symmetric metric with a comoving perfect fluid and non-zero pressure -- the Lemaitre metric -- and present it in the form of a calculational algorithm. We use it to review the definition of mass, and to look at the apparent horizon relations on the observer's past null cone. We show that the introduction of pressure makes it difficult to separate the mass from other physical parameters in an invariant way. Under the usual mass definition, the apparent horizon relation, that relates the diameter distance to the cosmic mass, remains the same as in the Lemaitre-Tolman case.

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