An effective Friedmann equation for a bouncing anisotropic universe
arXiv:2607.14153
summary
The paper derives effective Friedmann and Raychaudhuri equations for a polymer‑quantized Bianchi‑I universe that undergoes a bounce, and shows analytically that the known relation between matter density and anisotropic shear at the bounce holds for any matter content.
Abstract
We derive generalized effective Friedmann and Raychaudhuri equations for a bouncing polymer quantized Bianchi-I spacetime. We further prove that the relation numerically derived in the literature between the matter energy density and the anisotropic shear at the bounce holds exactly for any type of matter content, and derive explicit expressions for the constants that appear in that relation.
7 pages
Topics & keywords
#bouncing cosmology#anisotropic universe#polymer quantization#bianchi-i spacetime#effective Friedmann equationFriedmann equationRaychaudhuri equationpolymer quantizationanisotropic shearquantum gravity