Solving Einstein field equations in observational coordinates with cosmological data functions: Spherically symmetric universes with a cosmological constant

Journal Article · Mon Sep 15 00:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.063513· OSTI ID:21250821

Araujo, M E; Arcuri, R C ^[1]; Stoeger, W R ^[2]; Bedran, M L ^[3]

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1. Departamento de Fisica-Matematica, Instituto de Fisica, Universidade Federal do Rio de Janeiro, 21.945-970, Rio de Janeiro, R.J. (Brazil)
2. Vatican Observatory Research Group Steward Observatory, University of Arizona, Tucson, Arizona 85721 (United States)
3. Departamento de Fisica, Universidade Federal de Juiz de Fora, 36.036-330, Juiz de Fora, M.G. (Brazil)

Extending the approach developed by Araujo and Stoeger [M. E. Araujo and W. R. Stoeger, Phys. Rev. D 60, 104020 (1999)] and improved in Araujo et al.[M. E. Araujo, S. R. M. M. Roveda, and W. R. Stoeger, Astrophys. J. 560, 7 (2001)], we have shown how to construct dust-filled {lambda}{ne}0 Friedmann-Lemaitre-Robertson-Walker (FLRW) cosmological models from FLRW cosmological data on our past light cone. Apart from being of interest in its own right--demonstrating how such data fully determines the models--it is also illustrated in the flat case how the more general spherically symmetric Einstein field equations can be integrated in observational coordinates with data fit to FLRW forms arrayed on our past light cone, thus showing how such data determines an FLRW universe--which is not a priori obvious. It is also shown how to integrate these exact sypherically symmetric equations, in cases where the data are not FLRW, and the space-time is not known to be flat. It is essential for both flat and nonflat cases to have data giving the maximum of the observer area (angular-diameter) distance, and the redshift z{sub max} at which that occurs. This enables the determination of the vacuum-energy density {mu}{sub {lambda}}, which would otherwise remain undetermined.

• OSTI ID: 21250821
• Journal Information: Physical Review. D, Particles Fields, Vol. 78, Issue 6; Other Information: DOI: 10.1103/PhysRevD.78.063513; (c) 2008 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
99 GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE
COORDINATES
COSMIC DUST
COSMOLOGICAL CONSTANT
COSMOLOGICAL MODELS
DISTANCE
EINSTEIN FIELD EQUATIONS
ENERGY DENSITY
FUNCTIONS
LIGHT CONE
RED SHIFT
SPHERICAL CONFIGURATION
SYMMETRY
UNIVERSE