Nonminimal derivative coupling cosmology and the speed of gravitational waves

The so-called Nonminimal Derivative Coupling (NDC) is an alternative to General Relativity, which produces an asymptotic inflationary mechanism when applied to cosmology. The detection of gravitational waves in the last decade has imposed very stringent constraints over gravitational theories, which...

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Main Authors: Isaac Torres, Felipe de Melo Santos
Format: Article
Language:English
Published: Elsevier 2023-08-01
Series:Physics Letters B
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269323003490
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author Isaac Torres
Felipe de Melo Santos
author_facet Isaac Torres
Felipe de Melo Santos
author_sort Isaac Torres
collection DOAJ
description The so-called Nonminimal Derivative Coupling (NDC) is an alternative to General Relativity, which produces an asymptotic inflationary mechanism when applied to cosmology. The detection of gravitational waves in the last decade has imposed very stringent constraints over gravitational theories, which gave rise to a massive revision of those theories, in order to investigate the compatibility between them and that observational data. In this paper, we review NDC and address the question if it is compatible with gravitational waves or not. We show that the very existence of gravitational waves in this theory is restricted to a limited range in phase space and there are no accelerated solutions compatible with the present day data for the speed of such waves. This last result is alleviated by the fact that we did not detect primordial gravitational waves so far. Those conclusions are based on the comparison between the expression for the speed of tensor perturbations and the phase space. Finally, some possible scenarios and solutions are considered.
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spelling doaj.art-f4ab1e1c63504b4aafd56ce2235830972023-07-21T04:58:15ZengElsevierPhysics Letters B0370-26932023-08-01843138015Nonminimal derivative coupling cosmology and the speed of gravitational wavesIsaac Torres0Felipe de Melo Santos1Faculdade de Física - Universidade Federal do Pará, Rua Augusto Corrêa n. 01, CEP 66075-110, Belém, PA, Brazil; Corresponding author.Núcleo Cosmo-Ufes - Universidade Federal do Espírito Santo, A. Fernando Ferrari, n. 514, CEP 29075-910, Vitória, ES, BrazilThe so-called Nonminimal Derivative Coupling (NDC) is an alternative to General Relativity, which produces an asymptotic inflationary mechanism when applied to cosmology. The detection of gravitational waves in the last decade has imposed very stringent constraints over gravitational theories, which gave rise to a massive revision of those theories, in order to investigate the compatibility between them and that observational data. In this paper, we review NDC and address the question if it is compatible with gravitational waves or not. We show that the very existence of gravitational waves in this theory is restricted to a limited range in phase space and there are no accelerated solutions compatible with the present day data for the speed of such waves. This last result is alleviated by the fact that we did not detect primordial gravitational waves so far. Those conclusions are based on the comparison between the expression for the speed of tensor perturbations and the phase space. Finally, some possible scenarios and solutions are considered.http://www.sciencedirect.com/science/article/pii/S0370269323003490Modified gravityInflationGravitational waves
spellingShingle Isaac Torres
Felipe de Melo Santos
Nonminimal derivative coupling cosmology and the speed of gravitational waves
Physics Letters B
Modified gravity
Inflation
Gravitational waves
title Nonminimal derivative coupling cosmology and the speed of gravitational waves
title_full Nonminimal derivative coupling cosmology and the speed of gravitational waves
title_fullStr Nonminimal derivative coupling cosmology and the speed of gravitational waves
title_full_unstemmed Nonminimal derivative coupling cosmology and the speed of gravitational waves
title_short Nonminimal derivative coupling cosmology and the speed of gravitational waves
title_sort nonminimal derivative coupling cosmology and the speed of gravitational waves
topic Modified gravity
Inflation
Gravitational waves
url http://www.sciencedirect.com/science/article/pii/S0370269323003490
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