Modification to the Luminosity Distance Redshift Relation in Modified Gravity Theories
Astrophysics
2009-03-12 v2 General Relativity and Quantum Cosmology
Abstract
We derive an expression for the luminosity distance as a function of redshift for a flat Robertson-Walker spacetime perturbed by arbitrary scalar perturbations possibly produced by a modified gravity theory with two different scalar perturbation potentials. Measurements of the luminosity distance as function of redshift provide a constraint on a combination of the scalar potentials and so they can complement weak lensing and other measurements in trying to distinguish among the various alternative theories of gravity.
Cite
@article{arxiv.0810.0535,
title = {Modification to the Luminosity Distance Redshift Relation in Modified Gravity Theories},
author = {Éanna É. Flanagan and Eran Rosenthal and Ira M. Wasserman},
journal= {arXiv preprint arXiv:0810.0535},
year = {2009}
}
Comments
15 pages, we discuss in more detail how the luminosity distance expression can be used to differentiate among various theories of gravity