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2017

Degenerate Higher-Order Scalar-Tensor (DHOST) theories

Langlois, David

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This contribution reviews scalar-tensor theories whose Lagrangian contains second-order derivatives of a scalar field but nevertheless propagate only one scalar mode (in addition to the usual two tensor modes), and are thus not plagued with the Ostrodradsky instability.

These theories, which encompass the so-called Horndeski and Beyond Horndeski theories, have recently been fully classified up to cubic order in second-order derivatives.
After introducing these theories, I present a few phenomenological aspects.
In cosmology, these theories can be included in the unified effective description of dark energy and modified gravity.

Degenerate Higher-Order Scalar-Tensor (DHOST) theories · Around

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J. Ben Achour, M. Crisostomi, K. Koyama, D. Langlois, K. Noui and G. Tasinato, JHEP 1612
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2016
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H. Motohashi, K. Noui, T. Suyama, M. Yamaguchi and D. Langlois, JCAP 1607
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C. de Rham and A. Matas, JCAP 1606
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D. Langlois and K. Noui, JCAP 1602

2016

Cited alongside, same era.

D. Langlois and K. Noui, JCAP 1607

2016

Cited alongside, same era.

J. Ben Achour, D. Langlois and K. Noui, Phys. Rev. D 93

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2016

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M. Crisostomi, K. Koyama and G. Tasinato, JCAP 1604

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E. Babichev, K. Koyama, D. Langlois, R. Saito and J. Sakstein, Class. Quant. Grav. 33

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2017

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J. Sakstein, E. Babichev, K. Koyama, D. Langlois and R. Saito, Phys. Rev. D 95

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2017

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