Higher-derivative f(R,□R,T) theories of gravity

2016/01/02 by M. J. S. Houndjo, M. E. Rodrigues, N. S. Mazhari +2 · 31 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology #Cosmology and Gravitation Theories #De Sitter universe #Friedmann–Lemaître–Robertson–Walker metric #Inflation (cosmology) #Noncommutative and Quantum Gravity Theories #Scalar (mathematics) #Scalar curvature #TRACE (psycholinguistics) #Type (biology) #astro-ph.CO #f(R) gravity #gr-qc #hep-th

paper · pdf · doi:10.1142/s0218271817500249

published in International Journal of Modern Physics D 26(03), 1750024 (World Scientific) · 14 pages, revtex4 format. arXiv admin note: text overlap with arXiv:1104.2669 by other authors

arxiv created 2016/01/02 · openalex created_date 2016/06/24 · openalex publication_date 2016/08/18 · arxiv updated 2016/08/30 · openalex updated_date 2026/08/05

Abstract

In literature, there is a model of modified gravity in which the matter Lagrangian is coupled to the geometry via trace of the stress–energy–momentum tensor [Formula: see text]. This type of modified gravity is denoted [Formula: see text] in which [Formula: see text] is Ricci scalar [Formula: see text]. We extend manifestly this model to include the higher derivative term [Formula: see text]. We derived equations of motion (EOM) for the model by starting from the basic variational principle. Later we investigate FLRW cosmology for our model. We show that de Sitter (dS) solution is unstable for a generic type of [Formula: see text] model. Furthermore we investigate an inflationary scenario based on this model. A graceful exit from inflation is guaranteed in this type of modified gravity.

Citations

• f(R,T) gravity
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• On existence of a possible Lorentz invariant modified gravity in Weitzenböck spacetime
• A Joint Analysis of BICEP2/Keck Array and Planck Data
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• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
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• Limit to general relativity inf(R)theories of gravity
• Is cosmic speed-up due to new gravitational physics?
• Detection ofB-Mode Polarization at Degree Angular Scales by BICEP2
• Locally rotationally symmetric Bianchi type I cosmology in f(R, T) gravity
• Chaotic inflation