arXiv 1111.50972011-11-22math.CAastro-ph.COmath-phmath.MP

Well-posedness of Einstein's Equation with Redshift Data

Christopher Winfield

备注：: Copyright (2009) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. The following article appeared in J. Math. Phys. 50, 113515 (2009) and may be found at http://link.aip.org/link/doi/10.1063/1.3247999
发表信息：: J. Math. Phys. 50, 113515 (2009)
DOI：: 10.1063/1.3247999

英文摘要：

We study the solvability of a system of ordinary differential equations derived from null geodesics of the LTB metric with data given in terms of a so-called redshift parameter. Data is introduced along these geodesics by the luminosity distance function. We check our results with luminosity distance depending on the cosmological constant and with the well-known FRW model.

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