Published April 1, 2021 | Version v1
Publication Open

Noether symmetry approach in Eddington-inspired Born–Infeld gravity

Creators

  • 1. Prince of Songkla University
  • 2. Walailak University

Description

In this work, we take a short recap of a formal framework of the Eddington-inspired Born-Infeld (EiBI) theory of gravity and derive the point-like Lagrangian for underlying theory based on the use of Noether gauge symmetries (NGS). We study a Hessian matrix and quantify Euler-Lagrange equations of EiBI universe. We discuss the NGS approach for the Eddington-inspired Born-Infeld theory and show that there exists the de Sitter solution in this gravity model.

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

Translated Description (Arabic)

في هذا العمل، نأخذ ملخصًا قصيرًا لإطار رسمي لنظرية بورن إنفيلد المستوحاة من إدينغتون (EiBI) للجاذبية ونشتق نظرية لاغرانج الشبيهة بالنقطة للنظرية الأساسية بناءً على استخدام تماثلات مقياس نويثر (NGS). ندرس مصفوفة هيسية ونقيس معادلات أويلر- لاغرانج لكون EiBI. نناقش نهج NGS لنظرية Born - Infeld المستوحاة من Eddington ونظهر أن هناك حل de Sitter في نموذج الجاذبية هذا.

Translated Description (French)

Dans ce travail, nous récapitulons brièvement un cadre formel de la théorie de la gravité Born-Infeld (EiBI) inspirée d'Eddington et dérivons le Lagrangien ponctuel pour la théorie sous-jacente basée sur l'utilisation des symétries de jauge de Noether (NGS). Nous étudions une matrice de Hesse et quantifions les équations d'Euler-Lagrange de l'univers EiBI. Nous discutons de l'approche NGS pour la théorie Born-Infeld inspirée d'Eddington et montrons qu'il existe la solution de Sitter dans ce modèle de gravité.

Translated Description (Spanish)

En este trabajo, tomamos un breve resumen de un marco formal de la teoría de gravedad de Born-Infeld (EiBI) inspirada en Eddington y derivamos el lagrangiano puntual para la teoría subyacente basada en el uso de simetrías de gauge de Noether (NGS). Estudiamos una matriz de Hesse y cuantificamos las ecuaciones de Euler-Lagrange del universo EiBI. Discutimos el enfoque NGS para la teoría de Born-Infeld inspirada en Eddington y demostramos que existe la solución de Sitter en este modelo de gravedad.

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Additional details

Additional titles

Translated title (Arabic)
نهج تماثل Noether في جاذبية Born - Infeld المستوحاة من Eddington
Translated title (French)
Approche de symétrie Noether dans la gravité Born-Infeld inspirée d'Eddington
Translated title (Spanish)
Enfoque de simetría de Noether en la gravedad de Born–Infeld inspirada en Eddington

Identifiers

Other
https://openalex.org/W3130695566
DOI
10.1140/epjc/s10052-021-09144-2

Is supplement to
https://openalex.org/W4245538580 (Other)
https://openalex.org/W4221156093 (Other)
https://openalex.org/W3103807758 (Other)
https://openalex.org/W3098702604 (Other)
https://openalex.org/W2143074750 (Other)
https://openalex.org/W2081886426 (Other)
https://openalex.org/W2069267078 (Other)
https://openalex.org/W2051832681 (Other)
https://openalex.org/W2014449093 (Other)
https://openalex.org/W1984461052 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Thailand

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