Types III and N solutions to quadratic gravity

0362717 - MÚ 2012 RIV US eng J - Článek v odborném periodiku
Málek, T. - Pravda, Vojtěch
Types III and N solutions to quadratic gravity.
Physical Review D: Particles, Fields, Gravitation and Cosmology. Roč. 84, č. 2 (2011), 024047. ISSN 1550-7998
Grant CEP: GA ČR GAP203/10/0749
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: constant scalar invariants * higher dimensions * spacetimes * identities * supergravity
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 4.558, rok: 2011
http://prd.aps.org/abstract/PRD/v84/i2/e024047

We study exact vacuum solutions to quadratic gravity (QG) of the Weyl types N and III. We show that in an arbitrary dimension all Einstein spacetimes of the Weyl type N with an appropriately chosen effective cosmological constant Lambda are exact solutions to QG and we refer to explicitly known metrics within this class. For type III Einstein spacetimes, an additional constraint follows from the field equations of QG and examples of spacetimes obeying such constraint are given. However, type III pp waves do not satisfy this constraint and thus do not solve QG. For type N, we also study a wider class of spacetimes admitting a pure radiation term in the Ricci tensor. In contrast to the Einstein case, the field equations of generic QG determine optical properties of the geometry and restrict such exact solutions to the Kundt class. We provide examples of these metrics.
Trvalý link: http://hdl.handle.net/11104/0198961