Does the cosmological constant imply the existence of a minimum mass?

TL;DR

This paper demonstrates that a positive cosmological constant in classical general relativity leads to the existence of a minimal mass and density, derived from the generalized Buchdahl inequality.

Contribution

It establishes a rigorous link between the cosmological constant and minimal mass/density constraints in classical gravity.

Findings

Positive cosmological constant implies minimal mass and density.

Derived from the generalized Buchdahl inequality.

Provides theoretical bounds in classical general relativity.

Abstract

We show that in the framework of the classical general relativity the presence of a positive cosmological constant implies the existence of a minimal mass and of a minimal density in nature. These results rigorously follow from the generalized Buchdahl inequality in the presence of a cosmological constant.