Ghost-free F(R,G) gravity

In this work we shall address the ghost issue of F(R,G) gravity, which is known to be plagued with ghost degrees of freedom. These ghosts occur due to the presence of higher than two derivatives in the field equations, and can arise even when considering cosmological perturbations, where superlumina...

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Autores principales: S. Nojiri, S.D. Odintsov, V.K. Oikonomou, Arkady A. Popov
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Lenguaje:EN
Publicado: Elsevier 2021
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spelling oai:doaj.org-article:d0d965bf3064485798aa3c9910c58d3a2021-12-04T04:33:02ZGhost-free F(R,G) gravity0550-321310.1016/j.nuclphysb.2021.115617https://doaj.org/article/d0d965bf3064485798aa3c9910c58d3a2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S055032132100314Xhttps://doaj.org/toc/0550-3213In this work we shall address the ghost issue of F(R,G) gravity, which is known to be plagued with ghost degrees of freedom. These ghosts occur due to the presence of higher than two derivatives in the field equations, and can arise even when considering cosmological perturbations, where superluminal modes may arise in the theory. If we consider the quantum theory, the ghosts generate the negative norm states, which give the negative probabilities, and therefore the ghosts are physically inconsistent. Motivated by the importance of F(R,G) gravity for providing viable inflationary and dark energy phenomenologies, in this work we shall provide a technique that can render F(R,G) gravity theories free from ghost degrees of freedom. This will be done by introducing two auxiliary scalar fields, and by employing the Lagrange multiplier technique, the theory is ghost free in the Einstein frame. Also the framework can be viewed as a reconstruction technique and can be used as a method in order to realize several cosmological evolutions of interest. We demonstrate how we can realize several cosmologically interesting phenomenologies by using the reconstruction technique.S. NojiriS.D. OdintsovV.K. OikonomouArkady A. PopovElsevierarticleNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENNuclear Physics B, Vol 973, Iss , Pp 115617- (2021)
institution DOAJ
collection DOAJ
language EN
topic Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
spellingShingle Nuclear and particle physics. Atomic energy. Radioactivity
QC770-798
S. Nojiri
S.D. Odintsov
V.K. Oikonomou
Arkady A. Popov
Ghost-free F(R,G) gravity
description In this work we shall address the ghost issue of F(R,G) gravity, which is known to be plagued with ghost degrees of freedom. These ghosts occur due to the presence of higher than two derivatives in the field equations, and can arise even when considering cosmological perturbations, where superluminal modes may arise in the theory. If we consider the quantum theory, the ghosts generate the negative norm states, which give the negative probabilities, and therefore the ghosts are physically inconsistent. Motivated by the importance of F(R,G) gravity for providing viable inflationary and dark energy phenomenologies, in this work we shall provide a technique that can render F(R,G) gravity theories free from ghost degrees of freedom. This will be done by introducing two auxiliary scalar fields, and by employing the Lagrange multiplier technique, the theory is ghost free in the Einstein frame. Also the framework can be viewed as a reconstruction technique and can be used as a method in order to realize several cosmological evolutions of interest. We demonstrate how we can realize several cosmologically interesting phenomenologies by using the reconstruction technique.
format article
author S. Nojiri
S.D. Odintsov
V.K. Oikonomou
Arkady A. Popov
author_facet S. Nojiri
S.D. Odintsov
V.K. Oikonomou
Arkady A. Popov
author_sort S. Nojiri
title Ghost-free F(R,G) gravity
title_short Ghost-free F(R,G) gravity
title_full Ghost-free F(R,G) gravity
title_fullStr Ghost-free F(R,G) gravity
title_full_unstemmed Ghost-free F(R,G) gravity
title_sort ghost-free f(r,g) gravity
publisher Elsevier
publishDate 2021
url https://doaj.org/article/d0d965bf3064485798aa3c9910c58d3a
work_keys_str_mv AT snojiri ghostfreefrggravity
AT sdodintsov ghostfreefrggravity
AT vkoikonomou ghostfreefrggravity
AT arkadyapopov ghostfreefrggravity
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