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Types III and N solutions to quadratic gravity
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SYSNO ASEP 0362717 Druh ASEP J - Článek v odborném periodiku Zařazení RIV J - Článek v odborném periodiku Poddruh J Článek ve WOS Název Types III and N solutions to quadratic gravity Tvůrce(i) Málek, T. (CZ)
Pravda, Vojtěch (MU-W) RID, SAI, ORCIDZdroj.dok. Physical Review D: Particles, Fields, Gravitation and Cosmology. - : American Physical Society - ISSN 1550-7998
Roč. 84, č. 2 (2011), 024047Poč.str. 6 s. Jazyk dok. eng - angličtina Země vyd. US - Spojené státy americké Klíč. slova constant scalar invariants ; higher dimensions ; spacetimes ; identities ; supergravity Vědní obor RIV BA - Obecná matematika CEP GAP203/10/0749 GA ČR - Grantová agentura ČR CEZ AV0Z10190503 - MU-W (2005-2011) UT WOS 000293331900004 EID SCOPUS 80051735788 DOI 10.1103/PhysRevD.84.024047 Anotace 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. Pracoviště Matematický ústav Kontakt Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757 Rok sběru 2012
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