An Exploration of the Physics of Spherically Symmetric Dynamic Horizons

TL;DR

This paper investigates the physics of dynamic horizons in spherically symmetric spacetimes, proposing a coordinate system that avoids singularities at the horizon and exploring implications for black hole dynamics and cosmology.

Contribution

It introduces a non-orthogonal temporal coordinate for dynamic horizons, enabling singularity-free descriptions and explores quantum fields and cosmological models in this framework.

Findings

Coordinate choice removes physical singularities at horizons.

Penrose diagrams illustrate accreting and evaporating black holes.

Quantum field behavior near horizons is analyzed.

Abstract

Geometries with horizons offer insights into relationships between general relativity and quantum physics. For static spherically symmetric space-times, the event horizon is coincident with a coordinate anomaly that introduces complications in descriptions of near horizon physics. Naive introduction of dynamics using coordinates with anomalous behavior coincident with the horizon also introduces invariant singular physical content at that horizon. However, the introduction of a temporal coordinate that is non-orthogonal to spatial coordinates near the horizon, but asymptotically orthogonal, provides a dynamic description without singular physical content at the horizon itself. Penrose diagrams will be presented exhibiting temporal dependencies for accreting and evaporating black holes, and near horizon light-like trajectories will be examined. In addition, the quantum mechanics of simple quantum fields will be explored. Finally, a two-fluid cosmology will be suggested to describe dynamic coherent aspects of the universe as a whole.