Cosmological Observations: Averaging on the Null Cone

dc.creatorColey, A. A.
dc.date2009-05-14
dc.date.accessioned2026-07-07T13:15:50Z
dc.date.available2026-07-07T13:15:50Z
dc.descriptionThe universe is not isotropic or spatially homogeneous on local scales. The averaging of local inhomogeneities in general relativity can lead to significant dynamical effects on the evolution of the universe and on the interpretation of cosmological data. In particular, all deductions about cosmology are based on light paths; averaging can have an important effect on photon propagation and hence cosmological observations. It would be desirable to describe the physical effects of averaging in terms of observational quantities and focussing on the behaviour of light. Data (e.g., matter terms, such as the density or galaxy number counts, which are already expressed as averaged quantities) is given on the null cone. Therefore, it is observationally meaningful to consider light-cone averages of quantities. In principle, we wish to describe the cosmological equations on the null cone, and hence we need to construct the averaged geometry on the null cone. However, we argue that it is still necessary to average the full Einstein field equations to obtain suitably averaged equations on the null cone. Since it is not the geometry per se that appears in the observational relations, we discuss whether it is possible to covariantly `average' just a subset of the evolution equations on the null cone, focussing on relevant observational quantities. We present an averaged version of the scalar null Raychaudhuri equation, which may be a useful first step in this regard.
dc.identifierhttps://arxiv.org/abs/0905.2442
dc.identifierhttp://arxiv.org/abs/0905.2442
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/230601
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectCosmology and Nongalactic Astrophysics
dc.titleCosmological Observations: Averaging on the Null Cone
dc.typetext

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