2011/03/31 by Tahsin Çağrı Şişman, Tahsin Cagri Sisman, İbrahim Güllü +2 · 55 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Constant curvature #Cosmology and Gravitation Theories #Cubic form #Curvature #Geometric Analysis and Curvature Flows #Riemann curvature tensor #String (physics) #String theory #Unitarity #Unitary state #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/28/19/195004
published in Classical and Quantum Gravity 28(19), 195004 (IOP Publishing) · 24 pages, 1 figure, v2: A subsection on cubic curvature extensions of critical gravity is added, v3: The part regarding critical gravity is revised. Version to appear in Class. Quant. Grav
arxiv created 2011/08/11 · openalex publication_date 2011/09/06 · arxiv updated 2011/09/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We construct all the unitary cubic curvature gravity theories built on the contractions of the Riemann tensor in D -dimensional (anti)-de Sitter spacetimes. Our construction is based on finding the equivalent quadratic action for the general cubic curvature theory and imposing ghost and tachyon freedom, which greatly simplifies the highly complicated problem of finding the propagator of cubic curvature theories in constant curvature backgrounds. To carry out the procedure we have also classified all the unitary quadratic models. We use our general results to study the recently found cubic curvature theories using different techniques and the string generated cubic curvature gravity model. We also study the scattering in critical gravity and give its cubic curvature extensions.