Detailed Information on Publication Record
2015
A Goldberg-Sachs theorem in dimension three
NUROWSKI, Pawel and Arman TAGHAVI-CHABERTBasic information
Original name
A Goldberg-Sachs theorem in dimension three
Authors
NUROWSKI, Pawel (616 Poland) and Arman TAGHAVI-CHABERT (250 France, belonging to the institution)
Edition
Classical and Quantum Gravity, BRISTOL, Institute of Physics, 2015, 0264-9381
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
10101 Pure mathematics
Country of publisher
United Kingdom of Great Britain and Northern Ireland
Confidentiality degree
is not subject to a state or trade secret
Impact factor
Impact factor: 2.837
RIV identification code
RIV/00216224:14310/15:00081645
Organization unit
Faculty of Science
UT WoS
000355238400010
Keywords in English
three-dimensional pseudo-Riemannian geometry; Goldberg-Sachs theorem; congruences of geodesics; algebraically special spacetimes; topological massive gravity
Tags
International impact, Reviewed
Changed: 23/3/2016 15:53, Ing. Andrea Mikešková
Abstract
V originále
We prove a Goldberg-Sachs theorem in dimension three. To be precise, given a three-dimensional Lorentzian manifold satisfying the topological massive gravity equations, we provide necessary and sufficient conditions on the trace-free Ricci tensor for the existence of a null line distribution whose orthogonal complement is integrable and totally geodetic. This includes, in particular, Kundt spacetimes that are solutions of the topological massive gravity equations.
Links
| GP14-27885P, research and development project |
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