Spacetimes with vector distortion: Inflation from generalised Weyl geometry
Spacetime with general linear vector distortion is introduced. Thus, the torsion and the nonmetricity of the affine connection are assumed to be proportional to a vector field (and not its derivatives). The resulting two-parameter family of non-Riemannian geometries generalises the conformal Weyl ge...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2016-05-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269316300181 |
| _version_ | 1818566756931731456 |
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| author | Jose Beltrán Jiménez Tomi S. Koivisto |
| author_facet | Jose Beltrán Jiménez Tomi S. Koivisto |
| author_sort | Jose Beltrán Jiménez |
| collection | DOAJ |
| description | Spacetime with general linear vector distortion is introduced. Thus, the torsion and the nonmetricity of the affine connection are assumed to be proportional to a vector field (and not its derivatives). The resulting two-parameter family of non-Riemannian geometries generalises the conformal Weyl geometry and some other interesting special cases. Taking into account the leading nonlinear correction to the Einstein–Hilbert action results uniquely in the one-parameter extension of the Starobinsky inflation known as the alpha-attractor. The most general quadratic curvature action introduces, in addition to the canonical vector kinetic term, novel ghost-free vector-tensor interactions. |
| first_indexed | 2024-12-14T01:57:42Z |
| format | Article |
| id | doaj.art-8264c14d83114024acf8998bb6cfdb84 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 1873-2445 |
| language | English |
| last_indexed | 2024-12-14T01:57:42Z |
| publishDate | 2016-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-8264c14d83114024acf8998bb6cfdb842022-12-21T23:21:08ZengElsevierPhysics Letters B0370-26931873-24452016-05-01756C40040410.1016/j.physletb.2016.03.047Spacetimes with vector distortion: Inflation from generalised Weyl geometryJose Beltrán Jiménez0Tomi S. Koivisto1CPT, Aix Marseille Université, UMR 7332, 13288 Marseille, FranceNordita, KTH Royal Institute of Technology and Stockholm University, Roslagstullsbacken 23, 10691 Stockholm, SwedenSpacetime with general linear vector distortion is introduced. Thus, the torsion and the nonmetricity of the affine connection are assumed to be proportional to a vector field (and not its derivatives). The resulting two-parameter family of non-Riemannian geometries generalises the conformal Weyl geometry and some other interesting special cases. Taking into account the leading nonlinear correction to the Einstein–Hilbert action results uniquely in the one-parameter extension of the Starobinsky inflation known as the alpha-attractor. The most general quadratic curvature action introduces, in addition to the canonical vector kinetic term, novel ghost-free vector-tensor interactions.http://www.sciencedirect.com/science/article/pii/S0370269316300181 |
| spellingShingle | Jose Beltrán Jiménez Tomi S. Koivisto Spacetimes with vector distortion: Inflation from generalised Weyl geometry Physics Letters B |
| title | Spacetimes with vector distortion: Inflation from generalised Weyl geometry |
| title_full | Spacetimes with vector distortion: Inflation from generalised Weyl geometry |
| title_fullStr | Spacetimes with vector distortion: Inflation from generalised Weyl geometry |
| title_full_unstemmed | Spacetimes with vector distortion: Inflation from generalised Weyl geometry |
| title_short | Spacetimes with vector distortion: Inflation from generalised Weyl geometry |
| title_sort | spacetimes with vector distortion inflation from generalised weyl geometry |
| url | http://www.sciencedirect.com/science/article/pii/S0370269316300181 |
| work_keys_str_mv | AT josebeltranjimenez spacetimeswithvectordistortioninflationfromgeneralisedweylgeometry AT tomiskoivisto spacetimeswithvectordistortioninflationfromgeneralisedweylgeometry |