Published June 24, 2022 | Version v1
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Noether symmetry approach in non-minimal derivative coupling gravity

Creators

  • 1. Prince of Songkla University
  • 2. Suratthani Rajabhat University
  • 3. Walailak University

Description

Abstract In this work, we examine solutions of the system of equations obtained by applying the Noether gauge symmetry (NGS) and its conserved quantity for the standard general relativity (GR) and the non-minimal derivative coupling (NMDC) cosmological model. We discover two salient features of the solutions. The first one is $$a(t)\propto t^{1/3}$$ a ( t ) ∝ t 1 / 3 for a kinetic-dominant phase which may emerge before inflationary period at very early time for GR case. The second one is a new form of scalar field $$\phi (t)$$ ϕ ( t ) govern by the exponential cosmological solution for NMDC case, $$\phi (t)=(c_{1}+c_{2}t)e^{-\lambda t}+c_{3}$$ ϕ ( t ) = ( c 1 + c 2 t ) e - λ t + c 3 .

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

الملخص في هذا العمل، ندرس حلول نظام المعادلات التي تم الحصول عليها من خلال تطبيق تماثل مقياس نويثر (NGS) وكميته المحفوظة للنسبية العامة القياسية (GR) والنموذج الكوني للاقتران غير المشتق الأدنى (NMDC). نكتشف ميزتين بارزتين للحلول. الأول هو $$a(t)\propto t^{ 1/3 }$ a ( t ) ³ t 1/3 للمرحلة المهيمنة الحركية التي قد تظهر قبل فترة التضخم في وقت مبكر جدًا لحالة GR. والثاني هو شكل جديد من الحقل القياسي $$\ phi (t)$$ Ω ( t ) يحكمه الحل الكوني الأسي لحالة NMDC، $$\ phi (t)=(c _{ 1 }+c _{ 2}t)e^{-\lambda t }+ c _{ 3 }$ Ω ( t ) = ( c 1 + c 2 t ) e - λ t + c 3 .

Translated Description (French)

Résumé Dans ce travail, nous examinons des solutions du système d'équations obtenu en appliquant la symétrie de jauge de Noether (NGS) et sa quantité conservée pour le modèle cosmologique de la relativité générale standard (GR) et du couplage dérivé non minimal (NMDC). Nous découvrons deux caractéristiques saillantes des solutions. La première est $$a(t)\propto t^{1/3}$$ a ( t ) t 1 / 3 pour une phase cinétiquement dominante qui peut émerger avant la période inflationniste très tôt pour le cas GR. La seconde est une nouvelle forme de champ scalaire $$\phi (t)$$ ϕ ( t ) gouverné par la solution cosmologique exponentielle pour le cas NMDC, $$\phi (t)=(c_{1}+c_{2}t)e^{-\lambda t}+c_{3}$$ ϕ ( t ) = ( c 1 + c 2 t ) e - λ t + c 3 .

Translated Description (Spanish)

Resumen En este trabajo, examinamos las soluciones del sistema de ecuaciones obtenidas mediante la aplicación de la simetría de gauge de Noether (NGS) y su cantidad conservada para el modelo cosmológico de la relatividad general estándar (GR) y el acoplamiento derivado no mínimo (NMDC). Descubrimos dos características sobresalientes de las soluciones. El primero es $$ a (t)\propto t^{1/3}$$ a ( t ) " t 1 / 3 para una fase cinética dominante que puede surgir antes del período inflacionario en un momento muy temprano para el caso de GR. La segunda es una nueva forma de campo escalar $$\phi (t)$$ ϕ ( t ) regido por la solución cosmológica exponencial para el caso NMDC, $$\phi (t)=(c_{1}+c_{2}t)e^{-\lambda t}+c_{3}$$ ϕ ( t ) = ( c 1 + c 2 t ) e - λ t + c 3 .

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Additional details

Additional titles

Translated title (Arabic)
نهج تماثل الأثير في جاذبية الاقتران غير المشتقة الصغرى
Translated title (French)
Approche de symétrie Noether en gravité de couplage dérivée non minimale
Translated title (Spanish)
Enfoque de simetría de Noether en gravedad de acoplamiento derivada no mínima

Identifiers

Other
https://openalex.org/W3205010023
DOI
10.1140/epjc/s10052-022-10408-8

Is supplement to
https://openalex.org/W54078636 (Other)
https://openalex.org/W4391375266 (Other)
https://openalex.org/W3148032049 (Other)
https://openalex.org/W3105167352 (Other)
https://openalex.org/W3084825885 (Other)
https://openalex.org/W2954470139 (Other)
https://openalex.org/W2935759653 (Other)
https://openalex.org/W2902782467 (Other)
https://openalex.org/W2298861036 (Other)
https://openalex.org/W1501425562 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Thailand

References

  • https://openalex.org/W1508610351
  • https://openalex.org/W1612043069
  • https://openalex.org/W1741047708
  • https://openalex.org/W1853767801
  • https://openalex.org/W1964777539
  • https://openalex.org/W1989589910
  • https://openalex.org/W1991407676
  • https://openalex.org/W1992265036
  • https://openalex.org/W2001275750
  • https://openalex.org/W2006238885
  • https://openalex.org/W2017617508
  • https://openalex.org/W2018433092
  • https://openalex.org/W2033821764
  • https://openalex.org/W2058232471
  • https://openalex.org/W2073832139
  • https://openalex.org/W2075482579
  • https://openalex.org/W2077954719
  • https://openalex.org/W2078125471
  • https://openalex.org/W2080979387
  • https://openalex.org/W2088172914
  • https://openalex.org/W2097648045
  • https://openalex.org/W2109312637
  • https://openalex.org/W2131279590
  • https://openalex.org/W2147875900
  • https://openalex.org/W2153811626
  • https://openalex.org/W2155678178
  • https://openalex.org/W2156892531
  • https://openalex.org/W2158128318
  • https://openalex.org/W2165621223
  • https://openalex.org/W2258456243
  • https://openalex.org/W2328370183
  • https://openalex.org/W2514745348
  • https://openalex.org/W2517818663
  • https://openalex.org/W2525420568
  • https://openalex.org/W2601144957
  • https://openalex.org/W2768276749
  • https://openalex.org/W2781033729
  • https://openalex.org/W2883216709
  • https://openalex.org/W2952150967
  • https://openalex.org/W2984595400
  • https://openalex.org/W2999626326
  • https://openalex.org/W3049230996
  • https://openalex.org/W3098159378
  • https://openalex.org/W3098899650
  • https://openalex.org/W3099582894
  • https://openalex.org/W3099661019
  • https://openalex.org/W3100164172
  • https://openalex.org/W3100224094
  • https://openalex.org/W3100339959
  • https://openalex.org/W3100514957
  • https://openalex.org/W3100583766
  • https://openalex.org/W3100603007
  • https://openalex.org/W3101103353
  • https://openalex.org/W3102132993
  • https://openalex.org/W3102136416
  • https://openalex.org/W3102459715
  • https://openalex.org/W3102635008
  • https://openalex.org/W3102687315
  • https://openalex.org/W3103132246
  • https://openalex.org/W3103228522
  • https://openalex.org/W3103333075
  • https://openalex.org/W3103903886
  • https://openalex.org/W3105647117
  • https://openalex.org/W3106471510
  • https://openalex.org/W3122273060
  • https://openalex.org/W3130695566
  • https://openalex.org/W4292875581
  • https://openalex.org/W4292993631
  • https://openalex.org/W4298222025