Graviton Spectrum in Simplified Dark Matter Models with Graviton Mediators in the de Sitter Space

This is the second in a series of papers investigating the formulation of the simplified Dark Matter models with graviton mediators in cosmological backgrounds. We address here the crucial problem of the fundamental observable of interest, namely the graviton spectrum in an Friedmann⁻Lema&...

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Main Author: Ion Vasile Vancea
Format: Article
Language:English
Published: MDPI AG 2019-01-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/5/1/39
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author Ion Vasile Vancea
author_facet Ion Vasile Vancea
author_sort Ion Vasile Vancea
collection DOAJ
description This is the second in a series of papers investigating the formulation of the simplified Dark Matter models with graviton mediators in cosmological backgrounds. We address here the crucial problem of the fundamental observable of interest, namely the graviton spectrum in an Friedmann⁻Lemaître⁻Robertson⁻Walker (FLRW) cosmological background with an arbitrary Dark Matter background component. We calculate the correction to the free graviton two-point function up to the second order in the coupling constant between the Dark Matter and the graviton in the simplified Dark Matter model with graviton mediators approach in the de Sitter space. Our result is model independent in the sense that it does not depend on the particular form of the Dark Matter fields. In addition, due to the universality of the interaction between the Dark Matter and the graviton, the result obtained here applies to the interaction between the baryonic matter and the gravitons. As an application, we discuss in detail the massive scalar Dark Matter model and calculate the first order correction to the two-point function due to two Dark Matter modes in the adiabatic regime.
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spelling doaj.art-c0cb4cde2cb048aab520f2a2e37751a32022-12-22T04:19:49ZengMDPI AGUniverse2218-19972019-01-01513910.3390/universe5010039universe5010039Graviton Spectrum in Simplified Dark Matter Models with Graviton Mediators in the de Sitter SpaceIon Vasile Vancea0Grupo de Física Teórica e Física Matemática, Departamento de Física, Universidade Federal Rural do Rio de Janeiro, Cx. Postal 23851, BR 465 Km 7, 23890-000 Seropédica-RJ, BrazilThis is the second in a series of papers investigating the formulation of the simplified Dark Matter models with graviton mediators in cosmological backgrounds. We address here the crucial problem of the fundamental observable of interest, namely the graviton spectrum in an Friedmann⁻Lemaître⁻Robertson⁻Walker (FLRW) cosmological background with an arbitrary Dark Matter background component. We calculate the correction to the free graviton two-point function up to the second order in the coupling constant between the Dark Matter and the graviton in the simplified Dark Matter model with graviton mediators approach in the de Sitter space. Our result is model independent in the sense that it does not depend on the particular form of the Dark Matter fields. In addition, due to the universality of the interaction between the Dark Matter and the graviton, the result obtained here applies to the interaction between the baryonic matter and the gravitons. As an application, we discuss in detail the massive scalar Dark Matter model and calculate the first order correction to the two-point function due to two Dark Matter modes in the adiabatic regime.https://www.mdpi.com/2218-1997/5/1/39simplified dark matter modelslinearized gravitygraviton spectrumquantum gravity in de Sitter space
spellingShingle Ion Vasile Vancea
Graviton Spectrum in Simplified Dark Matter Models with Graviton Mediators in the de Sitter Space
Universe
simplified dark matter models
linearized gravity
graviton spectrum
quantum gravity in de Sitter space
title Graviton Spectrum in Simplified Dark Matter Models with Graviton Mediators in the de Sitter Space
title_full Graviton Spectrum in Simplified Dark Matter Models with Graviton Mediators in the de Sitter Space
title_fullStr Graviton Spectrum in Simplified Dark Matter Models with Graviton Mediators in the de Sitter Space
title_full_unstemmed Graviton Spectrum in Simplified Dark Matter Models with Graviton Mediators in the de Sitter Space
title_short Graviton Spectrum in Simplified Dark Matter Models with Graviton Mediators in the de Sitter Space
title_sort graviton spectrum in simplified dark matter models with graviton mediators in the de sitter space
topic simplified dark matter models
linearized gravity
graviton spectrum
quantum gravity in de Sitter space
url https://www.mdpi.com/2218-1997/5/1/39
work_keys_str_mv AT ionvasilevancea gravitonspectruminsimplifieddarkmattermodelswithgravitonmediatorsinthedesitterspace