PreprintCC BY-SA 4.0arXiv
Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations
Abstract
We present several representations of the Schwarzschild spacetime. Some of these are classical, such as the embedding, Tortoise, and Kruskal representations. The latter two motivate the introduction of pulsating coordinates (or the Diamond representation), a compact approach recently proposed for spherically symmetric static metrics. We then introduce the Golden representation for the Schwarzschild spacetime, where what we call the Fibonacci metric, and the golden ratio, become ubiquitous. We conclude by offering some visual and physical interpretations of this approach.
Versions
Related
- Nonlinear Phase Mixing in Einstein-Vlasov System near Schwarzschild Spacetime
- Scalar quasinormal and quasibound states of weakly magnetized Ernst--Schwarzschild spacetime: a confluent-Heun Wronskian approach
- Kruskal-style algorithm for Boltzmann equation molecule reduction
- On the Number of Iterations in a Kruskal-Type Process
- On Colorful Kruskal--Katona Theorems
BibTeX
@misc{leon2026mapping,
title = {{Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations}},
author = {Edgar Alejandro León},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.07909},
eprint = {2608.07909},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.07909},
note = {CC BY-SA 4.0},
}
RIS
TY - UNPB
TI - Mapping Schwarzschild Spacetime: From Kruskal to Diamond and Golden Representations
AU - Edgar Alejandro León
PY - 2026
DA - 2026/08/08
PB - arXiv
DO - 10.48550/arxiv.2608.07909
UR - https://arxiv.org/abs/2608.07909
AB - We present several representations of the Schwarzschild spacetime. Some of these are classical, such as the embedding, Tortoise, and Kruskal representations. The latter two motivate the introduction of pulsating coordinates (or the Diamond representation), a compact approach recently proposed for spherically symmetric static metrics. We then introduce the Golden representation for the Schwarzschild spacetime, where what we call the Fibonacci metric, and the golden ratio, become ubiquitous. We conclude by offering some visual and physical interpretations of this approach.
ER -