The Cosmological Black Hole

TL;DR

This paper discusses a novel solution in General Relativity called the cosmological black hole, where a dark energy universe and a Schwarzschild black hole are matched at a dual horizon with quantum effects stabilizing the system.

Contribution

It introduces the concept of a cosmological black hole with a finite-thick dual horizon stabilized by quantum effects, linking dark energy and black hole physics.

Findings

Dual horizon with finite thickness due to quantum indeterminacy

System stabilization via finite tangential pressure

Fluid entropy matches Bekenstein-Hawking entropy

Abstract

We briefly review the recent novel solution of General Relativity, we call the cosmological black hole, firstly discovered in [Roupas, Z. Eur. Phys. J. C 82, 255 (2022)]. A dark energy universe and a Schwartzschild black hole are matched on a common dual event horizon which is finitely thick due to quantum indeterminacy. The system gets stabilized by a finite tangential pressure applied on the dual horizon. The fluid entropy of the system at a Tolman temperature identified with the cosmological horizon temperature is calculated to be equal with the Bekenstein-Hawking entropy.