Higgs inflation and teleparallel gravity

Sami Raatikainen, Syksy Räsänen

Tutkimustuotos: ArtikkelijulkaisuArtikkeliTieteellinenvertaisarvioitu

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Teleparallel gravity is a formulation of general relativity that is physically equivalent to metric gravity if the gravitational action has the Einstein-Hilbert form and matter is minimally coupled. However, scalar fields generally couple directly to the connection, breaking the equivalence. In particular, this happens for the Standard Model Higgs. We show that a teleparallel theory with a non-minimally coupled scalar field has no linear scalar perturbations, and therefore cannot give successful inflation, unless the non-minimal coupling functions satisfy a particular relation. If the relation is satisfied, Higgs inflation can give an arbitrarily large tensor-to-scalar ratio r. Our results also apply to f(T) theories, as they are scalar-tensor theories written in different field coordinates. We discuss generalisation to more complicated actions.
Alkuperäiskielienglanti
Artikkeli021
LehtiJournal of Cosmology and Astroparticle Physics
Vuosikerta2019
Numero12
Sivumäärä26
ISSN1475-7516
DOI - pysyväislinkit
TilaJulkaistu - 6 joulukuuta 2019
OKM-julkaisutyyppiA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä, vertaisarvioitu

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  • 114 Fysiikka

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Higgs inflation and teleparallel gravity. / Raatikainen, Sami; Räsänen, Syksy.

julkaisussa: Journal of Cosmology and Astroparticle Physics, Vuosikerta 2019, Nro 12, 021, 06.12.2019.

Tutkimustuotos: ArtikkelijulkaisuArtikkeliTieteellinenvertaisarvioitu

TY - JOUR

T1 - Higgs inflation and teleparallel gravity

AU - Raatikainen, Sami

AU - Räsänen, Syksy

PY - 2019/12/6

Y1 - 2019/12/6

N2 - Teleparallel gravity is a formulation of general relativity that is physically equivalent to metric gravity if the gravitational action has the Einstein-Hilbert form and matter is minimally coupled. However, scalar fields generally couple directly to the connection, breaking the equivalence. In particular, this happens for the Standard Model Higgs. We show that a teleparallel theory with a non-minimally coupled scalar field has no linear scalar perturbations, and therefore cannot give successful inflation, unless the non-minimal coupling functions satisfy a particular relation. If the relation is satisfied, Higgs inflation can give an arbitrarily large tensor-to-scalar ratio r. Our results also apply to f(T) theories, as they are scalar-tensor theories written in different field coordinates. We discuss generalisation to more complicated actions.

AB - Teleparallel gravity is a formulation of general relativity that is physically equivalent to metric gravity if the gravitational action has the Einstein-Hilbert form and matter is minimally coupled. However, scalar fields generally couple directly to the connection, breaking the equivalence. In particular, this happens for the Standard Model Higgs. We show that a teleparallel theory with a non-minimally coupled scalar field has no linear scalar perturbations, and therefore cannot give successful inflation, unless the non-minimal coupling functions satisfy a particular relation. If the relation is satisfied, Higgs inflation can give an arbitrarily large tensor-to-scalar ratio r. Our results also apply to f(T) theories, as they are scalar-tensor theories written in different field coordinates. We discuss generalisation to more complicated actions.

KW - 114 Physical sciences

U2 - 10.1088/1475-7516/2019/12/021

DO - 10.1088/1475-7516/2019/12/021

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JO - Journal of Cosmology and Astroparticle Physics

JF - Journal of Cosmology and Astroparticle Physics

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