Letter: Slowly Rotating, Compact Fluid Sources Embedded in Kerr Empty Space-Time |
| |
Authors: | Ron Wiltshire Paul Messenger |
| |
Institution: | (1) Division of Mathematics and Statistics, The University of Glamorgan, Pontypridd, CF37 1DL, Great Britain |
| |
Abstract: | Spherically symmetric static fluid sources are endowed with rotation and embedded in Kerr empty space-time up to and including quadratic terms in an angular velocity parameter using Darmois junction conditions. The boundary behaviour of the metric tensor and partial derivatives is used to develop a series solution of Einstein's equation's for the rotating fluid. The boundary of the rotating source is expressed explicitly in terms of sinusoidal functions of the polar angle. As an example of the analysis the Schwarzschild interior solution is endowed with rotation and the equation of the fluid boundary is generated together with surface behaviour of the fluid density and angular velocity. |
| |
Keywords: | Kerr black hole rotating source |
本文献已被 SpringerLink 等数据库收录! |