Well-posedness of Einstein's Equation with Redshift Data
arXiv:1111.5097 · doi:10.1063/1.3247999
Abstract
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.
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