From massive gravity to dark matter density II

TL;DR

This paper investigates spherically symmetric solutions in a modified gravity theory that includes dark energy density, showing how known dark density profiles simplify the problem to a solvable differential equation.

Contribution

It introduces a method to analyze solutions in massive gravity with dark energy, reducing the problem to a linear differential equation given a known dark density profile.

Findings

Solution reduces to a linear first order differential equation

Method allows explicit solutions for given dark density profiles

Provides insights into the interplay between massive gravity and dark energy

Abstract

As previously observed the massless limit of massive gravity leads to a modification of general relativity. Here we study spherically symmetric solutions of the modified field equations which contain normal matter together with a dark energy density. If the dark density profile is assumed to be known, the whole problem is reduced to a linear first order differential equation which can be solved by quadratures.