On higher dimensional Einstein spacetimes with a warped extra dimension

0359288 - MÚ 2012 RIV GB eng J - Journal Article
Ortaggio, Marcello - Pravda, Vojtěch - Pravdová, Alena
On higher dimensional Einstein spacetimes with a warped extra dimension.
Classical and Quantum Gravity. Roč. 28, č. 10 (2011), s. 105006. ISSN 0264-9381. E-ISSN 1361-6382
R&D Projects: GA ČR GAP203/10/0749
Institutional research plan: CEZ:AV0Z10190503
Keywords : higher-dimensional gravity * algebraic classification * Einstein spacetimes
Subject RIV: BA - General Mathematics
Impact factor: 3.320, year: 2011
http://iopscience.iop.org/0264-9381/28/10/105006/

We study a class of higher dimensional warped Einstein spacetimes with one extra dimension. These were originally identified by Brinkmann as those Einstein spacetimes that can be mapped conformally on other Einstein spacetimes, and have subsequently appeared in various contexts to describe, e.g., different braneworld models or warped black strings. After clarifying the relation between the general Brinkmann metric and other more specific coordinate systems, we analyze the algebraic type of the Weyl tensor of the solutions. In particular, we describe the relation between Weyl aligned null directions of the lower dimensional Einstein slices and of the full spacetime, which in some cases can be algebraically more special. Possible spacetime singularities introduced by the warp factor are determined via a study of scalar curvature invariants and Weyl components measured by geodetic observers.
Permanent Link: http://hdl.handle.net/11104/0197099