Tensor mass and particle number peak at the same location in the scalar-tensor gravity boson star models - an analytical proof

TL;DR

This paper provides an analytical proof that in scalar-tensor gravity boson star models, the tensor mass and particle number peak at the same central density, confirming previous numerical findings and aiding stability analysis.

Contribution

The paper offers the first analytical proof that tensor mass and particle number peaks coincide in scalar-tensor boson star models, validating earlier numerical results.

Findings

Tensor mass and particle number peak at the same central density.

Analytical confirmation of previous numerical conjectures.

Supports stability analysis via catastrophe theory.

Abstract

Recently in boson star models in framework of Brans-Dicke theory, three possible definitions of mass have been identified, all identical in general relativity, but different in scalar-tensor theories of gravity.It has been conjectured that it's the tensor mass which peaks, as a function of the central density, at the same location where the particle number takes its maximum.This is a very important property which is crucial for stability analysis via catastrophe theory. This conjecture has received some numerical support. Here we give an analytical proof of the conjecture in framework of the generalized scalar-tensor theory of gravity, confirming in this way the numerical calculations.