Generalized virial theorem in warped DGP brane-world

TL;DR

This paper extends the virial theorem within the warped DGP brane-world framework, showing that geometric mass contributions can explain galaxy cluster mass discrepancies and align with observed velocity dispersions.

Contribution

It introduces a generalized virial theorem in the warped DGP brane-world, incorporating geometric mass effects into galaxy cluster dynamics.

Findings

Geometric mass can account for galaxy cluster mass discrepancies.

The derived velocity dispersion profile matches observations.

The model provides a geometric explanation for dark matter effects.

Abstract

We generalize the virial theorem to the warped DGP brane world scenario and consider its implications on the virail mass. In this theory the four dimensional scalar curvature term is included in the bulk action and the resulting four dimensional effective Einstein equation is augmented with extra terms which can be interpreted as geometrical mass, contributing to the gravitational energy. Estimating the geometrical mass using the observational data, we show that these geometric terms may account for the virial mass discrepancy in clusters of galaxies. Finally, we obtain the radial velocity dispersion of galaxy clusters and show that it is compatible with the radial velocity dispersion profle of such clusters.