Observational cosmology. III. Exact spherically symmetric dust solutions
- 1 February 1992
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 9 (2) , 509-525
- https://doi.org/10.1088/0264-9381/9/2/014
Abstract
The authors give the exact spherically symmetric solution of the Einstein field equations for dust (p=0) in observational coordinates for data on the past light cone C-(p0) consisting of redshifts, observer area distances, and galaxy number counts. A Bondi potential is found, which facilitates the integration. Also they show in detail how FLRW models can be constructed via these solutions from FLRW data. Finally, they discuss their approach with respect to other observationally oriented treatments, particularly those of Ehlers and Rindler (1987), and Rindler and Suson (1989).Keywords
This publication has 11 references indexed in Scilit:
- The fluid-ray tetrad formulation of Einstein's field equationsClassical and Quantum Gravity, 1992
- Trigonometric parallaxes of distant objects - What they could tell about the universeThe Astrophysical Journal, 1988
- The 'fitting problem' in cosmologyClassical and Quantum Gravity, 1987
- The relationship between continuum homogeneity and statistical homogeneity in cosmologyMonthly Notices of the Royal Astronomical Society, 1987
- Ideal observational cosmologyPhysics Reports, 1985
- Interpretation of extragalactic redshiftsThe Astrophysical Journal, 1979
- A Non-Uniform Relativistic Cosmological ModelMonthly Notices of the Royal Astronomical Society, 1972
- Observations in CosmologyThe Astrophysical Journal, 1966
- Spherically Symmetrical Models in General RelativityMonthly Notices of the Royal Astronomical Society, 1947
- Effect of Inhomogeneity on Cosmological ModelsProceedings of the National Academy of Sciences, 1934