Cosmological Perturbations via Quantum Corrections in M-Theory

In the early universe, it is important to take into account the quantum effect of gravity to explain the feature of inflation. In this paper, we consider the M-theory effective action which consists of 11-dimensional supergravity and (Weyl)<inline-formula><math xmlns="http://www.w3.org...

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Autores principales:	Kazuho Hiraga, Yoshifumi Hyakutake
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	inflation M-theory quantum gravity Elementary particle physics QC793-793.5
Acceso en línea:	https://doaj.org/article/77e596c7150c483693a045e45deae01a
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id	oai:doaj.org-article:77e596c7150c483693a045e45deae01a
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spelling	oai:doaj.org-article:77e596c7150c483693a045e45deae01a2021-11-25T19:09:40ZCosmological Perturbations via Quantum Corrections in M-Theory10.3390/universe71104252218-1997https://doaj.org/article/77e596c7150c483693a045e45deae01a2021-11-01T00:00:00Zhttps://www.mdpi.com/2218-1997/7/11/425https://doaj.org/toc/2218-1997In the early universe, it is important to take into account the quantum effect of gravity to explain the feature of inflation. In this paper, we consider the M-theory effective action which consists of 11-dimensional supergravity and (Weyl)<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>4</mn></msup></semantics></math></inline-formula> terms. The equations of motion are solved perturbatively, and the solution describes the inflation-like expansion in 4-dimensional spacetime. Equations of motion for tensor perturbations around this background are derived perturbatively. We also check that the equations of motion are obtained from the effective action up to the second order of the perturbations. Finally, we solve the equations of motion for the tensor perturbations perturbatively and obtain analytic expressions for them.Kazuho HiragaYoshifumi HyakutakeMDPI AGarticleinflationM-theoryquantum gravityElementary particle physicsQC793-793.5ENUniverse, Vol 7, Iss 425, p 425 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	inflation M-theory quantum gravity Elementary particle physics QC793-793.5
spellingShingle	inflation M-theory quantum gravity Elementary particle physics QC793-793.5 Kazuho Hiraga Yoshifumi Hyakutake Cosmological Perturbations via Quantum Corrections in M-Theory
description	In the early universe, it is important to take into account the quantum effect of gravity to explain the feature of inflation. In this paper, we consider the M-theory effective action which consists of 11-dimensional supergravity and (Weyl)<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mrow></mrow><mn>4</mn></msup></semantics></math></inline-formula> terms. The equations of motion are solved perturbatively, and the solution describes the inflation-like expansion in 4-dimensional spacetime. Equations of motion for tensor perturbations around this background are derived perturbatively. We also check that the equations of motion are obtained from the effective action up to the second order of the perturbations. Finally, we solve the equations of motion for the tensor perturbations perturbatively and obtain analytic expressions for them.
format	article
author	Kazuho Hiraga Yoshifumi Hyakutake
author_facet	Kazuho Hiraga Yoshifumi Hyakutake
author_sort	Kazuho Hiraga
title	Cosmological Perturbations via Quantum Corrections in M-Theory
title_short	Cosmological Perturbations via Quantum Corrections in M-Theory
title_full	Cosmological Perturbations via Quantum Corrections in M-Theory
title_fullStr	Cosmological Perturbations via Quantum Corrections in M-Theory
title_full_unstemmed	Cosmological Perturbations via Quantum Corrections in M-Theory
title_sort	cosmological perturbations via quantum corrections in m-theory
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/77e596c7150c483693a045e45deae01a
work_keys_str_mv	AT kazuhohiraga cosmologicalperturbationsviaquantumcorrectionsinmtheory AT yoshifumihyakutake cosmologicalperturbationsviaquantumcorrectionsinmtheory
_version_	1718410224593797120

Cosmological Perturbations via Quantum Corrections in M-Theory

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