Spectral Distortion in a Radially Inhomogeneous Cosmology

Abstract

The spectral distortion of the cosmic microwave background blackbody spectrum in a radially inhomogeneous spacetime, designed to exactly reproduce a LambdaCDM expansion history along the past light cone, is shown to exceed the upper bound established by COBE-FIRAS by a factor of approximately 3700. This simple observational test helps uncover a slew of pathological features that lie hidden inside the past light cone, including a radially contracting phase at decoupling and, if followed to its logical extreme, a naked singularity at the radially inhomogeneous Big Bang.

16 pages, 8 figures (added references and clarified discussion; some numbers revised)

References in corpus (18)

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Cited by in corpus (4)

• PRISM (Polarized Radiation Imaging and Spectroscopy Mission): An Extended White Paper
• Tests of the CMB temperature-redshift relation, CMB spectral distortions and why adiabatic photon production is hard
• Measuring the Homogeneity of the Universe Using Polarization Drift
• Newtonian self-gravitating system in a relativistic huge void universe model