Parameter estimation in an anisotropic expanding spacetime

Abstract

In this work, we investigate how the anisotropy affects the cosmological parameters estimation. Here the anisotropy is incorporated as a small gravitational disturbance. We calculate the Fisher information for both cosmological parameters $\epsilon$ (expansion volume) and $\rho$ (expansion rate), and we show that the anisotropy introduces oscillations in the Fisher information spectrum. This implies that the estimation of the cosmological parameters is sensible to the direction of the momentum $k$ of particles. In addition, we observe that for small values of the momentum $k$ there is a substantial difference between the Fisher information spectrum for the minimum and conformal couplings.

20 pages, 4 figures

References in corpus (6)

• Use and Abuse of the Fisher Information Matrix in the Assessment of Gravitational-Wave Parameter-Estimation Prospects
• Optimal quantum estimation of the Unruh-Hawking effect
• Entanglement in an expanding spacetime
• Quantum estimation of the Schwarzschild space-time parameters of the Earth
• Optimal estimation of entanglement
• Relativistic Quantum Metrology in Open System Dynamics