# Near Horizon Geometries and Black Hole Holograph

## TL;DR

This paper combines two approaches to black holes, Near Horizon Geometries and Black Hole Holographs, establishing conditions under which NHGs arise as solutions to Einstein's equations.

## Contribution

It identifies necessary and sufficient conditions on BHH data for NHGs to emerge as vacuum solutions, advancing understanding of black hole near-horizon structures.

## Key findings

- Derived conditions for NHG emergence from BHH data
- Established vacuum solutions as NHGs under specific criteria
- Unified two quasi local approaches to black holes

## Abstract

Two quasi local approaches to black holes are combined: Near Horizon Geometries (NHG) and stationary Black Hole Holographs (BHH). Necessary and sufficient conditions on BHH data for the emergence of NHGs as resulting vacuum solutions to Einstein's equations are found.