Hidden Depths in a Black Hole: Surface Area Information Encoded in the (r,t) Sector
Presenting author: Charles Robson
Based on an investigation into the geometrical description of black hole spacetimes at fixed angular coordinates (the so-called “(r,t) sector”), we find that the surface area of the event horizon of a black hole is mirrored in the area of a newly-defined surface, which naturally emerges from studying the intrinsic curvature of the sector at the horizon. We define this new, abstract surface for a range of different black holes and show that, in each case, it encodes event horizon information despite the surface being derived purely from the (r,t) sector of the metrical description. This is a very surprising finding which provides further evidence supporting the conjecture that black holes are, in some sense, fundamentally two-dimensional. These results shine new light on the geometry of black holes and may open the door to a novel two-dimensional interpretation of black hole entropy.
Oral presentation: yes. Poster: no.