Position and frequency shifts induced by massive modes of the gravitational wave background in alternative gravity

Abstract

Alternative theories of gravity predict the presence of massive scalar, vector, and tensor gravitational wave modes in addition to the standard massless spin~2 graviton of general relativity. The deflection and frequency shift effects on light from distant sources propagating through a stochastic background of gravitational waves, containing such modes, differ from their counterparts in general relativity. Such effects are considered as a possible signature for alternative gravity in attempts to detect deviations from Einstein's gravity by astrophysical means.

arXiv comment9 pages, 1 figure

References in corpus (72)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• The Hierarchy Problem and New Dimensions at a Millimeter
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Cosmological Results from High-z Supernovae
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• Chameleon Cosmology
• Relativistic gravitation theory for the MOND paradigm
• New Constraints on ${\Omega }_M$, ${\Omega }_{\Lambda }$, and w from an Independent Set of Eleven High-Redshift Supernovae Observed with HST
• Curvature Quintessence
• Gravitational Wave Experiments and Early Universe Cosmology
• Extra force in $f(R)$ modified theories of gravity
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Can modified gravity explain accelerated cosmic expansion?
• 1/R gravity and Scalar-Tensor Gravity
• On average properties of inhomogeneous fluids in general relativity I: dust cosmologies
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• 23 High Redshift Supernovae from the IfA Deep Survey: Doubling the SN Sample at z>0.7
• Dark Energy from structure: a status report
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• f(R) Gravity and scalar-tensor theory
• Quintessence without scalar fields
• 1/R Curvature Corrections as the Source of the Cosmological Acceleration
• Gravity assisted dark energy dominance and cosmic acceleration
• Metric-affine f(R) theories of gravity
• On average properties of inhomogeneous fluids in general relativity II: perfect fluid cosmologies
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• The future evolution and finite-time singularities in $F(R)$-gravity unifying the inflation and cosmic acceleration
• Matter instability in modified gravity
• Cosmic clocks, cosmic variance and cosmic averages
• A Singularity Problem with f(R) Dark Energy
• Modified gravity with R-matter couplings and (non-)geodesic motion
• MOND and the "Dearth of Dark Matter in Ordinary Elliptical Galaxies"
• Fourth order gravity: equations, history, and applications to cosmology
• Gravitomagnetic Effects in the Propagation of Electromagnetic Waves in Variable Gravitational Fields of Arbitrary-Moving and Spinning Bodies
• Gravitational Wave Astronomy: in Anticipation of First Sources to be Detected
• MOND--theoretical aspects
• Detection of Anisotropies in the Gravitational-Wave Stochastic Background
• Ghosts, Instabilities, and Superluminal Propagation in Modified Gravity Models
• A Preliminary Indication of Evolution of Type Ia Supernovae from their Risetimes
• A viability criterion for modified gravity with an extra force
• Ghost conditions for Gauss-Bonnet cosmologies
• Correspondence between kinematical backreaction and scalar field cosmologies - the `morphon field'
• Quasar Proper Motions and Low-Frequency Gravitational Waves
• Gravitational Radiation and Very Long Baseline Interferometry
• Astrometric and Timing Effects of Gravitational Waves from Localized Sources
• Bending of Light by Gravity Waves
• The metric-affine formalism of f(R) gravity
• Description of our cosmological spacetime as a perturbed conformal Newtonian metric and implications for the backreaction proposal for the accelerating universe
• Light deflection by gravitational waves from localized sources
• Resource Letter: Dark Energy and the Accelerating Universe
• Propagation of Light in the Field of Stationary and Radiative Gravitational Multipoles
• Backreaction of Cosmological Perturbations in Covariant Macroscopic Gravity
• Stochastic background of relic scalar gravitational waves from scalar-tensor gravity
• The rotation of polarization by gravitational waves
• Light Deflection in Perturbed Friedmann Universes
• Gravitational Lens Time Delays and Gravitational Waves
• Nonstationary Gravitational Lenses and the Fermat Principle
• Gravity-Wave Watching
• Almost Readily Detectable Time Delays from Gravity Waves?
• Detection of gravity waves by phase modulation of the light from a distant star
• Effects of the gravivector and graviscalar fields in N=2,8 supergravity
• Weak-Lensing by Large-Scale Structure and the Polarization Properties of Distant Radio-Sources
• Multiple imaging by gravitational waves
• Limits on a Stochastic Background of Gravitational Waves from Gravitational Lensing
• Gravitational Wave detection through microlensing?
• Lensing by gravitational waves in scalar-tensor gravity: Einstein frame analysis
• The Interstellar Medium as a Gravity Wave Detector

Cited by in corpus (23)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Constraining Lorentz-violating, Modified Dispersion Relations with Gravitational Waves
• A bird's eye view of f(R)-gravity
• Massive, massless and ghost modes of gravitational waves from higher-order gravity
• Analysis of the Yukawa gravitational potential in $f(R)$ gravity I: semiclassical periastron advance
• Analysis of the Yukawa gravitational potential in $f(R)$ gravity II: relativistic periastron advance
• Quadrupolar gravitational radiation as a test-bed for f(R)-gravity
• The evolution of gravitons in accelerating cosmologies: the case of extended gravity
• Cosmological Bound from the Neutron Star Merger GW170817 in scalar-tensor and $F(R)$ gravity theories
• New Exact Spherically Symmetric Solutions in $f(R,\varphi ,X)$ gravity by Noether's symmetry approach
• On the propagation of gravitational waves in strong magnetic fields
• Probing the dark matter issue in f(R)-gravity via gravitational lensing
• Probing the physical and mathematical structure of $f(R)$ gravity by PSR $J0348+0432$
• The Early-time Cosmology with Stiff Era from Modified Gravity
• The post-Minkowskian limit of f(R)-gravity
• Information on the inflaton field from the spectrum of relic gravitational waves
• Laser interferometer response to scalar massive gravitational waves
• Stochastic Background of Relic Scalar Gravitational Waves tuned by Extended Gravity
• Gauss-Bonnet Braneworld Cosmology with Modified Induced Gravity on the Brane
• PPN limit and cosmological gravitational waves as tools to constrain f(R)-gravity
• Some Classes of Gravitational Shock Waves from Higher Order Theories of Gravity