On energy-momentum tensor for gravitational waves in $f(R)$ gravity

Abstract

The classical Isaacson's procedure for describing back-reaction of the averaged energy-momentum for high frequency gravitational waves is generalized to the $f(R)$ gravity case. From the beginning it is assumed that an initial background could be arbitrary one. Then, we restrict the background to be de Sitter, which is a novelty regarding the study of a back-reaction in $f(R)$ gravity. Consideration of the de Sitter space as a background spacetime allows us to provide the averaging procedure completely. Using the results on the de Sitter space and generalizing the Isaacson procedure, we construct the averaged energy-momentum on an additionally curved (averaged) background. Consistency tests for de Sitter spacetime are performed both at the background and perturbative regimes. Our results generalize previous studies in which the authors consider the flat (Minkowski) spacetime as the initial background.

References in corpus (39)

• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Modified Gravity and Cosmology
• f(R) theories
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• 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
• Can modified gravity explain accelerated cosmic expansion?
• Conditions for the cosmological viability of f(R) dark energy models
• 1/R gravity and Scalar-Tensor Gravity
• Are f(R) dark energy models cosmologically viable ?
• Solar System constraints to general f(R) gravity
• The Cosmology of Modified Gauss-Bonnet Gravity
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion
• Exponential Gravity
• Polarizations of gravitational waves in $f(R)$ gravity
• Searching for black hole echoes from the LIGO-Virgo Catalog GWTC-1
• Asymptotics with a positive cosmological constant: III. The quadrupole formula
• Effective Gravitational Wave Stress-energy Tensor in Alternative Theories of Gravity
• Spectrum of Primordial Gravitational Waves in Modified Gravities: A Short Overview
• Scalar induced gravitational waves from primordial black hole Poisson fluctuations in $f(R)$ gravity
• Generation of gravitational waves by generic sources in de Sitter space-time
• Pre-Inflationary Bounce Effects on Primordial Gravitational Waves of $f(R)$ Gravity
• Gravitational Waves in Viable f(R) Models
• Gravitational Waves from Compact Sources in de Sitter Background
• Propagating degrees of freedom in f(R) gravity
• Propagation of scalar and tensor gravitational waves in Horndeski theory
• A minimal set of invariants as a systematic approach to higher order gravity models
• Some high-frequency gravitational waves related to exact radiative spacetimes
• Cosmological back-reaction in modified gravity and its implications for dark energy
• Gauge Invariant Effective Stress-Energy Tensors for Gravitational Waves
• Cosmological backreaction in higher-derivative gravity expansions
• A minimal set of invariants as a systematic approach to higher order gravity models: Physical and Cosmological Constraints
• Polarization and speed of gravitational waves in hybrid metric-Palatini f(R)-gravity
• Gravitational wave energy momentum-tensor in reduced Horndeski theories
• The Efroimsky formalism adapted to high-frequency perturbations

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