TY - JOUR
T1 - Extended gravity theories from dynamical noncommutativity
AU - Aschieri, Paolo
AU - Castellani, Leonardo
PY - 2013/2
Y1 - 2013/2
N2 - In this paper we couple noncommutative vielbein gravity to scalar fields. Noncommutativity is encoded in a *-product between forms, given by an abelian twist (a twist with commuting vector fields). A geometric generalization of the Seiberg- Witten map for abelian twists yields an extended theory of gravity coupled to scalars, where all fields are ordinary (commutative) fields. The vectors defining the twist can be related to the scalar fields and their derivatives, and hence acquire dynamics. Higher derivative corrections to the classical Einstein-Hilbert and Klein-Gordon actions are organized in successive powers of the noncommutativity parameter θ AB.
AB - In this paper we couple noncommutative vielbein gravity to scalar fields. Noncommutativity is encoded in a *-product between forms, given by an abelian twist (a twist with commuting vector fields). A geometric generalization of the Seiberg- Witten map for abelian twists yields an extended theory of gravity coupled to scalars, where all fields are ordinary (commutative) fields. The vectors defining the twist can be related to the scalar fields and their derivatives, and hence acquire dynamics. Higher derivative corrections to the classical Einstein-Hilbert and Klein-Gordon actions are organized in successive powers of the noncommutativity parameter θ AB.
KW - Abelian twist
KW - Dynamical noncommutativity
KW - Higher derivatives gravity
KW - Noncommutative gravity
KW - Seiberg-Witten map
UR - http://www.scopus.com/inward/record.url?scp=84873059716&partnerID=8YFLogxK
U2 - 10.1007/s10714-012-1479-4
DO - 10.1007/s10714-012-1479-4
M3 - Article
SN - 0001-7701
VL - 45
SP - 411
EP - 426
JO - General Relativity and Gravitation
JF - General Relativity and Gravitation
IS - 2
ER -