Killing reduction of 5-dimensional spacetimes
نویسندگان
چکیده
منابع مشابه
Killing Reduction of 5-Dimensional Spacetimes
In a 5-dimensional spacetime (M, gab) with a Killing vector field ξ a which is either everywhere timelike or everywhere spacelike, the collection of all trajectories of ξ gives a 4-dimensional space S. The reduction of (M, gab) is studied in the geometric language, which is a generalization of Geroch’s method for the reduction of 4-dimensional spacetime. A 4dimensional gravity coupled to a vect...
متن کاملTeleparallel Killing Vectors of Spherically Symmetric Spacetimes
In this paper, Killing vectors of spherically spacetimes have been evaluated in the context of teleparallel theory of gravitation. Further, we investigate the Killing vectors of the Friedmann metrics. It is found that for static spherically spacetimes the number of Killing vectors turn out to be seven while for the Friedmann models, we obtain six teleparallel Killing vectors. The results are th...
متن کاملThe Dimensional-Reduction Anomaly in Spherically Symmetric Spacetimes
In D-dimensional spacetimes which can be foliated by n-dimensional homogeneous subspaces, a quantum field can be decomposed in terms of modes on the subspaces, reducing the system to a collection of (D−n)-dimensional fields. This allows one to write bare D-dimensional field quantities like the Green function and the effective action as sums of their (D − n)-dimensional counterparts in the dimen...
متن کاملNull-Killing Vector Dimensional Reduction and Galilean Geometrodynamics
The solutions of Einstein’s equations admitting one non-null Killing vector field are best studied with the projection formalism of Geroch. When the Killing vector is lightlike, the projection onto the orbit space still exists and one expects a covariant theory with degenerate contravariant metric to appear, its geometry is presented here. Despite the complications of indecomposable representat...
متن کاملClassification of Higher Dimensional Spacetimes
We algebraically classify some higher dimensional spacetimes, including a number of vacuum solutions of the Einstein field equations which can represent higher dimensional black holes. We discuss some consequences of this work. E-mail: [email protected] E-mail: [email protected]
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 2003
ISSN: 0556-2821,1089-4918
DOI: 10.1103/physrevd.68.024006