Observational cosmology using characteristic numerical relativity

Abstract

The characteristic formalism in numerical relativity, which has been developed to study gravitational waves, and the observer metric approach in observational cosmology both make use of coordinate systems based on null cones. In this paper, these coordinate systems are compared and it is then demonstrated how characteristic numerical relativity can be used to investigate problems in observational cosmology. In a numerical experiment using the characteristic formalism, it is shown how the historical evolution of a LTB universe compares to that of the $\Lambda$CDM model given identical observational data on a local observer's past null cone. It is demonstrated that, at an earlier epoch of the LTB model, the observational data would not be consistent with that of the $\Lambda$CDM model.

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Cited by in corpus (7)

• Establishing homogeneity of the universe in the shadow of dark energy
• Characteristic Evolution and Matching
• The affine-null metric formulation of Einstein's equations
• What's Inside the Cone? Numerically reconstructing the metric from observations
• Characteristic Formulation for Metric $f(R)$ Gravity
• Observational cosmology using characteristic numerical relativity: Characteristic formalism on null geodesics
• Effect of a low density dust shell on the propagation of gravitational waves