http://arxiv.org/abs/2212.03573
The standard model for galaxy bias is built in a Newtonian framework, and several attempts have been made in the past to put it in a relativistic framework. The focus of past works was, however, to use the same Newtonian formulation, but to provide its interpretation in a relativistic framework by either fixing a gauge condition or transforming to a local coordinate system. Here we demonstrate that these reverse-engineered approaches fail, because they do not respect the diffeomorphism symmetry in general relativity. Hence we need to take a different approach to the problem and develop a covariant formulation of galaxy bias model that is diffeomorphism compatible. We consider a simple toy model for galaxy bias and discuss the implication for measuring the primordial non-Gaussianity by using the flawed standard model for galaxy bias.
J. Yoo
Thu, 8 Dec 22
22/63
Comments: 6 pages, 1 figure, comments are welcome