Virial mass in warped DGP-inspired L(R) gravity

TL;DR

This paper derives a virial theorem within a warped DGP brane-world model with L(R) gravity, explaining galaxy cluster mass discrepancies through geometrical mass contributions and matching observed velocity dispersions.

Contribution

It introduces a modified virial theorem in a warped DGP L(R) gravity framework, providing a geometric explanation for galaxy cluster mass discrepancies.

Findings

Geometrical mass accounts for virial mass discrepancy.

Radial velocity dispersion matches observed profiles.

Model aligns with L(R) gravity theories.

Abstract

A version of the virial theorem is derived in a brane-world scenario in the framework of a warped DGP model where the action on the brane is an arbitrary function of the Ricci scalar, L(R). The extra terms in the modified Einstein equations generate an equivalent mass term (geometrical mass), which give an effective contribution to the gravitational energy and offer viable explanation to account for the virial mass discrepancy in clusters of galaxies. We also obtain the radial velocity dispersion of galaxy clusters and show that it is compatible with the radial velocity dispersion profile of such clusters. Finally, we compare the result of the model with L(R) gravity theories.