Incompatibility of Standard Galaxy Bias Models in General Relativity
arXiv:2212.03573 · doi:10.1088/1475-7516/2023/10/054
Abstract
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 do not respect the diffeomorphism symmetry in general relativity, and we need to develop a covariant model of galaxy bias that is diffeomorphism compatible. We consider a simple toy model for galaxy bias and discuss the impact for measuring the primordial non-Gaussianity.
16 pages, 1 figure, published in JCAP
References in corpus (29)
- Cosmological Constraints from the SDSS Luminous Red Galaxies
- The imprints of primordial non-gaussianities on large-scale structure: scale dependent bias and abundance of virialized objects
- Clustering of dark matter tracers: generalizing bias for the coming era of precision LSS
- New Perspective on Galaxy Clustering as a Cosmological Probe: General Relativistic Effects
- Primordial trispectrum from inflation
- Wide-Field InfraRed Survey Telescope (WFIRST) Final Report
- Constraints on Multi-Field Inflation from the BOSS Galaxy Survey
- Beyond the Linear-Order Relativistic Effect in Galaxy Clustering: Second-Order Gauge-Invariant Formalism
- Primordial non-Gaussianities in general modified gravitational models of inflation
- Galaxy number counts to second order and their bispectrum
- Einstein's legacy in galaxy surveys
- The observed galaxy power spectrum in General Relativity
- Relativistic Effect in Galaxy Clustering
- How Gaussian can our Universe be?
- Complete Treatment of Galaxy Two-Point Statistics: Gravitational Lensing Effects and Redshift-Space Distortions
- General relativistic weak-field limit and Newtonian N-body simulations
- A general relativistic signature in the galaxy bispectrum: the local effects of observing on the lightcone
- Einstein's signature in cosmological large-scale structure
- Proper-Time Hypersurface of Non-Relativistic Matter Flows: Galaxy Bias in General Relativity
- Large Scale Limit of the Observed Galaxy Power Spectrum
- General relativistic corrections and non-Gaussianity in large scale structure
- Relativistic Lagrangian displacement field and tensor perturbations
- Second-order gauge-invariant formalism for the cosmological observables: Complete verification of their gauge-invariance
- General relativistic effects in the galaxy bias at second order
- Large-Scale Tides in General Relativity
- Monopole Fluctuation of the CMB and its Gauge Invariance
- Third-order cosmological perturbations of zero-pressure multi-component fluids: Pure general relativistic nonlinear effects
- The halo bias for number counts on the light cone from relativistic N-body simulations
- The spatial gauge-dependence of single-field inflationary bispectra