Article Dans Une Revue (Article De Synthèse) Physical Review D Année : 2024

Generalisation of Conformal-Disformal Transformations of the Metric in Scalar-Tensor Theories

Keisuke Izumi
Norihiro Tanahashi
Masahide Yamaguchi

Résumé

We study new classes of metric transformations in the context of scalar-tensor theories, which involve both higher derivatives of the scalar field and derivatives of the metric itself. In general, such transformations are not invertible as they involve derivatives of the metric, which typically leads to instability due to Ostrogradsky ghosts. We show, however, that a certain class of this type of transformations is invertible: we construct new examples of invertible conformal (and also disformal) transformations with higher derivatives. Finally, we make use of these new transformations to construct extended mimetic theories of gravity, and we study their properties in the context of cosmology.

Dates et versions

hal-04586049 , version 1 (24-05-2024)

Identifiants

Citer

Eugeny Babichev, Keisuke Izumi, Karim Noui, Norihiro Tanahashi, Masahide Yamaguchi. Generalisation of Conformal-Disformal Transformations of the Metric in Scalar-Tensor Theories. Physical Review D, 2024, 110 (6), pp.064063. ⟨10.1103/PhysRevD.110.064063⟩. ⟨hal-04586049⟩
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