A note on the black hole information paradox in de Sitter spacetimes

TL;DR

This paper discusses the black hole information paradox in de Sitter spacetimes, suggesting that a finite number of black hole remnants might be possible if the cosmological constant is positive, challenging previous assumptions about infinite remnants.

Contribution

It proposes that the number of black hole remnants could be finite in a universe with a positive cosmological constant, offering a new perspective on the information paradox.

Findings

Finite remnants possible with positive cosmological constant

Challenges the assumption of infinite black hole remnants

Implications for phenomenological viability of remnants

Abstract

The possibility of stable or quasi--stable Planck mass black hole remnants as solution to the black hole information paradox is commonly believed phenomenologically unacceptable: since we have to expect a black hole remnant for every possible initial state, the number of remnants should be infinite. This would lead to remnant pair production in any physical process with a total available energy roughly exceeding the Planck mass, against trivial evidences. In this note I point out that the number of remnants in our Universe could be finite, at least if the value of the cosmological constant is positive, as present observational data could indicate. Nevertheless, it is not clear if a huge but finite number of states is phenomenologically allowed.