TL;DR
This paper reviews the concept of slowly evolving horizons in black hole thermodynamics, discussing their properties, mechanics, and role in fluid-gravity correspondence, and introduces a new related property involving event horizon candidates.
Contribution
It provides a comprehensive review of slowly evolving horizons and introduces a novel property linking them to nearby event horizon candidates.
Findings
Slowly evolving horizons are nearly isolated and share properties with equilibrium systems.
A new property shows the existence of an event horizon candidate near any such horizon.
The role of these horizons in fluid-gravity correspondence is elucidated.
Abstract
Quasi-static systems are an important concept in thermodynamics: they are dynamic but close enough to equilibrium that many properties of equilibrium systems still hold. Slowly evolving horizons are the corresponding concept for quasilocally defined black holes: they are "nearly isolated" future outer trapping horizons. This article reviews the definition and properties of these objects including both their mechanics and the role that they play in the fluid-gravity correspondence. It also introduces a new property: there is an event horizon candidate in close proximity to any slowly evolving horizon.
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