NUROWSKI, Pawel and Arman TAGHAVI-CHABERT. A Goldberg-Sachs theorem in dimension three. Classical and Quantum Gravity. BRISTOL: Institute of Physics, vol. 32, No 11, p. 1-36. ISSN 0264-9381. doi:10.1088/0264-9381/32/11/115009. 2015.
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Basic 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
Original 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
Doi http://dx.doi.org/10.1088/0264-9381/32/11/115009
UT WoS 000355238400010
Keywords in English three-dimensional pseudo-Riemannian geometry; Goldberg-Sachs theorem; congruences of geodesics; algebraically special spacetimes; topological massive gravity
Tags AKR, rivok
Tags International impact, Reviewed
Changed by Changed by: Ing. Andrea Mikešková, učo 137293. Changed: 23/3/2016 15:53.
Abstract
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 projectName: Skoro izotropní struktury v pseudo-riemannovské geometrii
Investor: Czech Science Foundation
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