Testing metric-affine f(R)-gravity by relic scalar gravitational waves

Abstract

We discuss the emergence of scalar gravitational waves in metric-affine f(R)-gravity. Such a component allows to discriminate between metric and metric-affine theories The intrinsic meaning of this result is that the geodesic structure of the theory can be discriminated. We extend the formalism of cross correlation analysis, including the additional polarization mode, and calculate the detectable energy density of the spectrum for cosmological relic gravitons. The possible detection of the signal is discussed against sensitivities of VIRGO, LIGO and LISA interferometers.

12 pages, 4 figures

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• Polarizations of Gravitational Waves in Horndeski Theory
• Weak Field Limit and Gravitational Waves in $f(T,B)$ Teleparallel Gravity
• Gravitational Wave Polarization Modes in $f(R)$ Theories
• The mass-radius relation for neutron stars in $f(R)=R+\alpha R^2$ gravity: a comparison between purely metric and torsion formulations
• A First Experimental Limit on In-matter Torsion from Neutron Spin Rotation in Liquid He-4
• The evolution of gravitons in accelerating cosmologies: the case of extended gravity
• Gravitational Wave Polarizations in $f(R)$ Gravity and Scalar-Tensor Theory
• Gravitational waves in non-local gravity
• Gravitational Waves in Higher Order Teleparallel Gravity
• Constraining Spacetime Nonmetricity with Neutron Spin Rotation in Liquid He-4
• Gravitational radiation in higher order non-local gravity
• Gravitoelectromagnetism in metric f(R) and Brans-Dicke theories with a potential
• Extended Geometric Trinity of Gravity
• On the propagation of gravitational waves in matter-filled Bianchi I universe
• Data Analysis of Massive Gravitational Waves from Gamma Ray Bursts