التفاصيل البيبلوغرافية
| العنوان: |
Geodesics for the Painlevé–Gullstrand Form of Lense–Thirring Spacetime |
| المؤلفون: |
Joshua Baines, Thomas Berry, Alex Simpson, Matt Visser |
| المصدر: |
Universe; Volume 8; Issue 2; Pages: 115 |
| بيانات النشر: |
Multidisciplinary Digital Publishing Institute |
| سنة النشر: |
2022 |
| المجموعة: |
MDPI Open Access Publishing |
| مصطلحات موضوعية: |
Painlevé–Gullstrand metrics, Lense–Thirring metric, Killing tensor, Carter constant, integrability, geodesics |
| الوصف: |
Recently, the current authors have formulated and extensively explored a rather novel Painlevé–Gullstrand variant of the slow-rotation Lense–Thirring spacetime, a variant which has particularly elegant features—including unit lapse, intrinsically flat spatial 3-slices, and a separable Klein–Gordon equation (wave operator). This spacetime also possesses a non-trivial Killing tensor, implying separability of the Hamilton–Jacobi equation, the existence of a Carter constant, and complete formal integrability of the geodesic equations. Herein, we investigate the geodesics in some detail, in the general situation demonstrating the occurrence of “ultra-elliptic” integrals. Only in certain special cases can the complete geodesic integrability be explicitly cast in terms of elementary functions. The model is potentially of astrophysical interest both in the asymptotic large-distance limit and as an example of a “black hole mimic”, a controlled deformation of the Kerr spacetime that can be contrasted with ongoing astronomical observations. |
| نوع الوثيقة: |
text |
| وصف الملف: |
application/pdf |
| اللغة: |
English |
| Relation: |
Gravitation; https://dx.doi.org/10.3390/universe8020115 |
| DOI: |
10.3390/universe8020115 |
| الاتاحة: |
https://doi.org/10.3390/universe8020115 |
| Rights: |
https://creativecommons.org/licenses/by/4.0/ |
| رقم الانضمام: |
edsbas.4883817 |
| قاعدة البيانات: |
BASE |