Approximate black holes from a variable cosmological constant

TL;DR

This paper proposes a phenomenological model where a residual, variable cosmological constant leads to approximate black holes, suggesting that imperfect cancellations of zero-point energies near horizons can produce observable effects.

Contribution

It introduces a novel model describing how residual variable cosmological constants can form approximate black holes in a static, spherically symmetric setting.

Findings

Residual cosmological constant can produce black hole-like solutions

Exponential decay of the cosmological constant is modeled by a specific differential equation

The model provides a framework for understanding horizon phenomena with variable Λ

Abstract

The small or zero cosmological constant, $\Lambda$, probably results from a macroscopic cancellation mechanism of the zero-point energies. However, nearby horizon surfaces any macroscopic mechanism is expected to result in imperfect cancellations. A phenomenological description is given for the residual variable cosmological constant. In the static, spherically symmetric case it produces approximate black holes. The model describes the case of exponential decay by $\Box\ln\Lambda=-3a$, were $a$ is a positive constant.