Constraint on the cosmological f(R) model from the multipole power spectrum of the SDSS luminous red galaxy sample and prospects for a future redshift survey

TL;DR

This paper constrains the f(R) gravity model using SDSS galaxy data and explores future survey prospects, demonstrating redshift-space distortions as a tool for testing gravity on large scales.

Contribution

It provides the first constraint on the f(R) model's Compton wavelength parameter from SDSS data and assesses future survey capabilities.

Findings

Constraint on the Compton wavelength parameter of f(R) gravity.

Demonstration of redshift-space distortions as a test for gravity theories.

Prospects for improved constraints with future redshift surveys.

Abstract

A constraint on the viable f(R) model is investigated by confronting theoretical predictions with the multipole power spectrum of the luminous red galaxy sample of the Sloan Digital Sky survey data release 7. We obtain a constraint on the Compton wavelength parameter of the f(R) model on the scales of cosmological large-scale structure. A prospect of constraining the Compton wavelength parameter with a future redshift survey is also investigated. The usefulness of the redshift-space distortion for testing the gravity theory on cosmological scales is demonstrated.