A locally anisotropic geometrical model of space-time based on CMBR
Panagiotis G. Labropoulos, Panayiotis C. Stavrinos

TL;DR
This paper proposes a locally anisotropic space-time model incorporating CMBR anisotropy into the metric, extending general relativity beyond Riemannian geometry to better understand cosmic anisotropies.
Contribution
It introduces a new geometrical framework for general relativity that accounts for observable CMBR anisotropy through a tensor in the metric.
Findings
Model captures CMBR anisotropy effects
Special cases of anisotropic spaces analyzed
Extends geometric structures in general relativity
Abstract
We study a locally anisotropic model of General Relativity in the framework of a more general geometrical structure than the Riemannian one. In this model the observable anisotropy of the CMBR (WMAP) is represented by a tensor of anisotropy and it is included in the metric structure of space-time. As well, some interesting special cases of spaces are considered.
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