Noether symmetry approach in Eddington-inspired Born–Infeld gravity

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作者
Thanyagamon Kanesom
Phongpichit Channuie
Narakorn Kaewkhao
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[1] Prince of Songkla University,Division of Physical Science (Physics), Faculty of Science
[2] Walailak University,School of Science
[3] Walailak University,College of Graduate Studies
[4] Walailak University,Research Group in Applied, Computational and Theoretical Science (ACTS)
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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.
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