Well-posedness of Einstein's Equation with Redshift Data

Details Well-posedness of Einstein's Equation with Redshift Data Well-posedness of Einstein's Equation with Redshift Data

2011-11-22

arxiv.org/abs/1111.5097v1

J. Math. Phys. 50, 113515 (2009)

Mathematics

Classical Analysis and ODEs

Copyright (2009) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires p

Scientific paper

10.1063/1.3247999

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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