Energy-momentum complexes in f(R) theories of gravity

Abstract

Despite the fact that modified theories of gravity, in particular the f(R) gravity models have attracted much attention in the last years, the problem of the energy localization in the framework of these models has not been addressed. In the present work the concept of energy-momentum complexes is presented in this context. We generalize the Landau-Lifshitz prescription of calculating the energy-momentum complex to the framework of f(R) gravity. As an important special case, we explicitly calculate the energy-momentum complex for the Schwarzschild-de Sitter metric for a general f(R) theory as well as for a number of specific, popular choices of f(R).

11 pages, no figures, LaTeX; v2: 9 pages now, rearranged Sections, references added, no changes in physics and results, version to appear in CQG

References in corpus (13)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Avoiding Dark Energy with 1/R Modifications of Gravity
• The Large Scale Structure of f(R) Gravity
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Solar System constraints to general f(R) gravity
• Solar System tests DO rule out 1/R gravity
• Cosmological Constraints on f(R) Acceleration Models
• Spherically symmetric spacetimes in f(R) gravity theories

Cited by in corpus (9)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters
• Instabilities and Anti-Evaporation of Reissner-Nordström Black Holes in modified $F(R)$ gravity
• On the energy of charged black holes in generalized dilaton-axion gravity
• Energy Bounds in $f(R,G)$ Gravity with Anisotropic Background
• Cosmological perturbations in gravitational energy-momentum complex
• Entropic gravity versus gravitational pseudotensors in static spherically symmetric spacetimes
• Gravitational energy of a noncommutative Vaidya black hole