From massive gravity to dark matter density

TL;DR

This paper explores how a classical limit of massive gravity leads to a modified gravitational theory that naturally incorporates a dark matter density profile, providing a potential explanation for dark matter phenomena.

Contribution

It introduces a classical limit of massive gravity where the vector-graviton field affects the Schwarzschild solution, linking massive gravity to dark matter density.

Findings

Modified Schwarzschild solution includes a dark mass density component

The density profile is explicitly calculated for spherical symmetry

The vector-graviton field influences gravitational behavior in the classical limit

Abstract

Massive gravity previously constructed as the spin-2 quantum gauge theory is studied in the classical limit. The vector-graviton field v which does not decouple in the limit of vanishing graviton mass gives rise to a modification of general relativity. The modified Schwarzschild solution contains a contribution which can be interpreted as the dark mass density. We calculate the density profile in the simplest spherically symmetric geometry.