Energy distribution in f (R) gravity

2009/12/18 by M. Sharif, Muhammad Sharif, M. Farasat Shamir · 26 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmic string #Cosmology and Gravitation Theories #Curvature #Differential geometry #Distribution (mathematics) #Energy density #Metric (unit) #Noncommutative and Quantum Gravity Theories #Plane (geometry) #Scalar curvature #f(R) gravity #gr-qc

paper · pdf · doi:10.1007/s10714-009-0927-2

published in General Relativity and Gravitation 42(6), 1557-1569 (Springer Science+Business Media) · 15 pages, accepted for publication in Gen. Relativ. & Grav

arxiv created 2009/12/18 · openalex publication_date 2010/01/20 · arxiv updated 2014/11/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The well-known energy problem is discussed in f(R) theory of gravity. We use the generalized Landau-Lifshitz energy-momentum complex in the framework of metric f(R) gravity to evaluate the energy density of plane symmetric solutions for some general f(R) models. In particular, this quantity is found for some popular choices of f(R) models. The constant scalar curvature condition and the stability condition for these models are also discussed. Further, we investigate the energy distribution of cosmic string spacetime.

Citations

• Class of viable modifiedf(R)gravities describing inflation and the onset of accelerated expansion
• Teleparallel version of the Levi–Civita vacuum solutions and their energy contents
• Pseudotensors and Quasilocal Energy-Momentum
• Stability of modified gravity models
• Modifiedf(R)gravity unifyingRminflation with theΛCDMepoch
• Quasilocal energy and conserved charges derived from the gravitational action
• TELEPARALLEL ENERGY–MOMENTUM DISTRIBUTION OF LEWIS–PAPAPETROU SPACETIMES
• Covariant Conservation Laws in General Relativity
• One-loopf(R) gravity in de Sitter universe
• INTRODUCTION TO MODIFIED GRAVITY AND GRAVITATIONAL ALTERNATIVE FOR DARK ENERGY