Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order

被引：337

作者：

Ben Achour, J. ^{[1
]}

Crisostomi, M. ^{[2
]}

Koyama, K. ^{[2
]}

Langlois, D. ^{[3
]}

Noui, K. ^{[3
,4
]}

Tasinato, G. ^{[5
]}

机构：

[1] Fudan Univ, Ctr Field Theory & Particle Phys, Shanghai 20433, Peoples R China

[2] Univ Portsmouth, Inst Cosmol & Gravitat, Portsmouth PO1 3FX, Hants, England

[3] Univ Paris Diderot Paris 7, Lab APC Astroparticule & Cosmol, F-75013 Paris, France

[4] Univ Tours, Lab Math & Phys Theor, F-37200 Tours, France

[5] Swansea Univ, Dept Phys, Swansea SA2 8PP, W Glam, Wales

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2016年 / 12期

基金：

欧洲研究理事会;

关键词：

Classical Theories of Gravity; Cosmology of Theories beyond the SM;

D O I：

10.1007/JHEP12(2016)100

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We present all scalar-tensor Lagrangians that are cubic in second derivatives of a scalar field, and that are degenerate, hence avoiding Ostrogradsky instabilities. Thanks to the existence of constraints, they propagate no more than three degrees of freedom, despite having higher order equations of motion. We also determine the viable combinations of previously identified quadratic degenerate Lagrangians and the newly established cubic ones. Finally, we study whether the new theories are connected to known scalartensor theories such as Horndeski and beyond Horndeski, through conformal or disformal transformations.

引用

页数：32

共 32 条

[1]

[Anonymous], 2007, The Scalar-Tensor Theory of Gravitation

[2]

[Anonymous], 1850, Mem. Acad. St. Petersbourg

[3] Relativistic stars in beyond Horndeski theories [J].