Digitale Medien
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
41 (2000), S. 7556-7572
ISSN:
1089-7658
Quelle:
AIP Digital Archive
Thema:
Mathematik
,
Physik
Notizen:
We consider the Kerr and Schwarzschild black-hole space–times in the framework of a three-dimensional formulation of relativistic kinematics and field dynamics, in which local physical observers are represented by non-singular vector fields of bounded length in a three-dimensional pseudo-Riemannian space. A space–time is represented by a pair of 3-metric and a fundamental 3-vector field satisfying a set of basic equations, each solution of which determines uniquely a solution of the vacuum Einstein field equations. It is shown that the only spherically symmetric solution of our basic equations leads to the Schwarzschild space–time, thereby proving a version of Birkoff's theorem in this formalism. The Schwarzschild horizon and the Kerr stationary limit are both related to the upper bound of the length of the corresponding physical 3-vector fields. An example of a solution of the vacuum Einstein field equations shows that nonstationary space–times can also be formulated in this three-dimensional relativity. © 2000 American Institute of Physics.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1063/1.1312196
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