تقرير
Perturbative photon escape cones in the Kerr spacetime
| العنوان: | Perturbative photon escape cones in the Kerr spacetime |
|---|---|
| المؤلفون: | Baines, Joshua, Visser, Matt |
| سنة النشر: | 2024 |
| المجموعة: | General Relativity and Quantum Cosmology |
| مصطلحات موضوعية: | General Relativity and Quantum Cosmology |
| الوصف: | We consider the perturbative, fully explicit, analytical behaviour of photon escape cones in the Kerr spacetime. When one conducts the fully general non-perturbative Kerr analysis, one quickly finds that one must at some point appeal to numerical and/or graphical methods. Herein we find that we are able to say much more if we look at the slow rotation limit (i.e., $a \ll m$). Indeed we give explicit and tractable expressions for the first and second order (in $a$) contributions to both the shape of the escape cone, and the solid angle subtended by the escape cone. We then look at a few special cases at each order, thereby leading to explicit expressions for the black hole silhouette, expressions which are of great interest to the observational community when studying images of black hole silhouettes ("shadows"). Comment: V1:24 pages, no figures. V2: Three references added, minor re-phrasing for clarity. No physics changes. V3: Three more references added. No physics changes |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2403.13058 |
| رقم الأكسشن: | edsarx.2403.13058 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |