A new look at the Cosmological Principle

Details A new look at the Cosmological Principle A new look at the Cosmological Principle

Aug 1978

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978a%26a....68..131w&link_type=abstract

Astronomy and Astrophysics, vol. 68, no. 1-2, Aug. 1978, p. 131-137.

Astronomy and Astrophysics

Astrophysics

14

Cosmology, Dimensional Stability, Mathematical Models, Space-Time Functions, Dimensionless Numbers, Dynamic Models, Einstein Equations, Relativity

Scientific paper

An account is given of the definition and application of a Cosmological Principle (CP) that is nearer to Milne's (1940) concept of the CP than the vaguely defined anthropomorphic one according to which the universe should 'look the same' to any observer. A Dimensional CP (DCP) is proposed which leads easily to a Dimensional Perfect CP (DPCP) that is superior to the PCP defined by Bondi and Gold (1948) and Hoyle (1948). The DCP is expressed in words as follows: In models obeying the DCP, the density, pressure, and mass functions appear only in combination with G, c, and the coordinates (r, t) as three dimensionless functions that depend solely on epoch. It is shown that the Friedmann models obey the DCP, as do certain inhomogeneous models; one such inhomogeneous model is derived by using the DCP. A small subset of Friedmann models and an inhomogeneous model which obey the DPCP are also examined.

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