Constraint on the Mass of Primordial Black Holes from the Value of the Cosmological Constant

TL;DR

This paper constrains the total mass of primordial black holes based on their thermodynamical relation to the cosmological constant, estimating it to be around 1.624x10^24 solar masses.

Contribution

It introduces a novel approach linking the cosmological constant as a thermodynamical variable to black hole radiation, providing a new constraint on primordial black hole mass.

Findings

Estimated total mass of evaporated primordial black holes: 1.624x10^24 solar masses

Proposed thermodynamical relation between cosmological constant and black hole radiation

Modelled primordial black holes as Schwarzschild-de Sitter holes

Abstract

In a recent propposal, the cosmological constant has been considered as as a new thermodynamical variable and its change is related to the radiation produced by black holes. Using this consideration and by modelling the primordial black holes as Schwarzschild-de Sitter holes,we have constrained the total mass of primordial black holes evaporated by now, giving an estimate of the order of 1.624x10^24 solar masses.