Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-03-11
Class.Quant.Grav.28:195004,2011
Physics
High Energy Physics
High Energy Physics - Theory
24 pages, 1 figure, v2: A subsection on cubic curvature extensions of critical gravity is added, v3: The part regarding critic
Scientific paper
10.1088/0264-9381/28/19/195004
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.
Gullu Ibrahim
Sisman Tahsin Cagri
Tekin Bayram
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