Gravitational Lensing in the metric theory proposed by Sobouti

TL;DR

This paper explores a modified gravity theory by Sobouti that explains galaxy dynamics and predicts additional gravitational lensing effects, with empirical evaluation using galaxy cluster X-ray and lensing data.

Contribution

It provides a detailed analysis of Sobouti's f(R) gravity theory's lensing predictions and calibrates the model against observational data from galaxy clusters.

Findings

The theory predicts extra gravitational lensing compared to general relativity.

The alpha parameter was adjusted to fit observational data.

The model successfully accounts for observed lensing in galaxy clusters.

Abstract

Recently, Y. Sobouti (2007) has provided a metric theory f(R) that can account for certain dynamical anomalies observed in spiral galaxies. Mendoza & Rosas-Guevara (2007) have shown that in this theory there is an extra-bending as compared to standard general relativity. In the present work we have developed in more specific detail this additional lensing effect and we have made evaluations of the alpha parameter used in the model adjusting the theory to observations in X-rays of 13 clusters of galaxies with gravitational lensing (Hoekstra (2007)).