Generalized harmonic gauge conditions in General Relativity as field equations for lapse and shift
✍ Scribed by T. Hirschmann; R. Schimming
- Publisher
- John Wiley and Sons
- Year
- 1986
- Tongue
- English
- Weight
- 629 KB
- Volume
- 307
- Category
- Article
- ISSN
- 0004-6337
No coin nor oath required. For personal study only.
✦ Synopsis
Sektion AIatliematik dcr Ernst-~~oritz-Arndt-Utiir ersitat (I<cccivccl 1986 I~cbruai-y 28) Dic Vorgabc tlcr Harnioiiizitatsgrol~e~i zu ciner Rauiii-Zeit-Metrik kaiin in der ADM-Aufspaltung als System von Evolutionsgleichungen fiir 1,apsc uiid Shift aufgefal3t werden. Das Cauchysche Anfangswertproblem mird hier fur dieses Gleicliungssystem behandelt. Ferner wcrdcn die diflcrcntialgcomctrisclieii Grundlagen des ADM-Schemas analysiert.
'J'lio pi-exription ol the harmonicity quantities to a spacetime metric may be read, in the AUM decomposition, as a system of evolution equations. Cauchy's initial valuc problem for this svstein is investigated here. Additionally, the differential-geometric substance behind the .\l)ill sclicnic is analyscd.