Biases on cosmological parameters by general relativity effects

TL;DR

This paper investigates how general relativistic effects influence the measurement of cosmological parameters, especially in non-standard cosmologies, and finds that these effects are unlikely to cause significant biases or errors in future surveys.

Contribution

It provides a comprehensive analysis of relativistic corrections in various non-standard cosmological models and assesses their impact on parameter estimation accuracy.

Findings

Relativistic corrections do not significantly bias cosmological parameters.

Future constraints are robust against relativistic effects in the studied models.

Relativistic effects are negligible for constant dark energy and non-Gaussianity scenarios.

Abstract

General relativistic corrections to the galaxy power spectrum appearing at the horizon scale, if neglected, may induce biases on the measured values of the cosmological parameters. In this paper, we study the impact of general relativistic effects on non standard cosmologies such as scenarios with a time dependent dark energy equation of state, with a coupling between the dark energy and the dark matter fluids or with non-Gaussianities. We then explore whether general relativistic corrections affect future constraints on cosmological parameters in the case of a constant dark energy equation of state and of non-Gaussianities. We find that relativistic corrections on the power spectrum are not expected to affect the foreseen errors on the cosmological parameters nor to induce large biases on them.