Gravitational waves in Modified Gauss-Bonnet Gravity

Abstract

We study the gravitational waves in modified Gauss-Bonnet gravity. Applying the metric perturbation around a cosmological background, we obtain explicit expressions for the wave equations. It is shown that the speed of the traceless mode is equal to the speed of light. An additional massive scalar mode appears in the propagation of the gravitational waves. To find phenomena beyond the general relativity the scalar mode mass is calculated as a function of the background curvature in some typical models.

14 pages, 7 figures

References in corpus (19)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• The Cosmology of Modified Gauss-Bonnet Gravity
• Cosmological inflation in $F(R,\mathcal{G})$ gravity
• Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion
• Detecting massive gravitons using pulsar timing arrays
• Inflationary Phenomenology of Einstein Gauss-Bonnet Gravity Compatible with GW170817
• LISA Sensitivities to Gravitational Waves from Relativistic Metric Theories of Gravity
• Consistency relation for $R^p$ inflation
• Inevitable ghost and the degrees of freedom in f(R,G) gravity
• Reconstructing the inflationary $f(R)$ from observations
• The Cosmic Microwave Background for Pedestrians: A Review for Particle and Nuclear Physicists
• Gauss-Bonnet Chameleon Mechanism of Dark Energy
• Marginally Deformed Starobinsky Gravity
• $R^2\log R$ quantum corrections and the inflationary observables
• Propagating degrees of freedom in f(R) gravity
• Condition for directly testing scalar modes of gravitational waves by four detectors
• Polarization Modes of Gravitational Wave for Viable f(R) Models

Cited by in corpus (6)

• Finite-time Cosmological Singularities and the Possible Fate of the Universe
• Cosmological perturbations in f(G) gravity
• Multifluid cosmology in f (G) gravity
• Gravitational waves from inspiraling black holes in quadratic gravity
• Scalar Mode Quadrupole Radiation from Astronomical Sources in $F(R)$ Modified Gravity
• One-Dimensional Primordial Gravitational Waves In Pure Quadratic Gravity