Signatures of extra dimensions in gravitational waves

Abstract

Considering gravitational waves propagating on the most general 4+N-dimensional space-time, we investigate the effects due to the N extra dimensions on the four-dimensional waves. All wave equations are derived in general and discussed. On Minkowski4 times an arbitrary Ricci-flat compact manifold, we find: a massless wave with an additional polarization, the breathing mode, and extra waves with high frequencies fixed by Kaluza-Klein masses. We discuss whether these two effects could be observed.

v1: 21 pages + appendices, comments welcome! v2: few minor additions; v3: minor mistake corrected in the warped case, no impact on the main results, appendix A.2 modified

References in corpus (19)

• The Confrontation between General Relativity and Experiment
• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Echoes of ECOs: gravitational-wave signatures of exotic compact objects and of quantum corrections at the horizon scale
• Warped Gravitons at the LHC and Beyond
• The gravitational-wave memory effect
• Quasinormal modes of D-dimensional de Sitter spacetime
• Spin-2 spectrum of defect theories
• Stochastic Gravitational Wave Background from Light Cosmic Strings
• Gravitational echoes from macroscopic quantum gravity effects
• Supersymmetry breaking branes on solvmanifolds and de Sitter vacua in string theory
• Graviton Emission in the Bulk from a Higher-Dimensional Schwarzschild Black Hole
• Constraining non-commutative space-time from GW150914
• A gravitational wave window on extra dimensions
• When black holes collide: Probing the interior composition by the spectrum of ringdown modes and emitted gravitational waves
• Gravitational radiation in d>4 from effective field theory
• Gravitational Waves in Effective Quantum Gravity
• Effect of extra dimensions on gravitational waves from cosmic strings
• Gravitational wave extraction in higher dimensional numerical relativity using the Weyl tensor
• Gravitational waves during inflation in presence of a decaying cosmological parameter from a 5D vacuum theory of gravity

Cited by in corpus (47)

• Dark Energy in light of Multi-Messenger Gravitational-Wave astronomy
• Limits on the number of spacetime dimensions from GW170817
• The portrait of eikonal instability in Lovelock theories
• Neutron Star Mergers and How to Study Them
• Signatures of extra dimensions in gravitational waves from black hole quasi-normal modes
• Tidal Love Numbers of Black Holes and Neutron Stars in the Presence of Higher Dimensions: Implications of GW170817
• Gravitational waves and higher dimensions: Love numbers and Kaluza-Klein excitations
• Quantum gravity and gravitational-wave astronomy
• Constraining extra dimensions using observations of black hole quasi-normal modes
• Gravitational-wave luminosity distance in quantum gravity
• Excavating black hole continuum spectrum: Possible signatures of scalar hairs and of higher dimensions
• Decoding signatures of extra dimensions and estimating spin of quasars from the continuum spectrum
• Gravitational waves and extra dimensions: a short review
• Effects of tidal charge on magnetic reconnection and energy extraction from spinning braneworld black hole
• Looking for extra dimensions in the observed quasi-periodic oscillations of black holes
• X-ray reflection spectroscopy with Kaluza-Klein black holes
• Gravitational Memory and Compact Extra Dimensions
• Probing Compactified Extra Dimensions with Gravitational Waves
• Gravitational waves in warped compactifications
• Constraints on parity and Lorentz violations in gravity from GWTC-3 through a parametrization of modified gravitational wave propagations
• Three Waves for Quantum Gravity
• Electromagnetic counterparts of high-frequency gravitational waves having additional polarization states: distinguishing and probing tensor-mode, vector-mode and scalar-mode gravitons
• Constraint on the radius of five-dimensional dS spacetime with GW170817 and GRB 170817A
• Warp factor and the gravitational wave spectrum
• Synchrotron radiation in odd dimensions
• Leaps and bounds towards scale separation
• Classification of Gravitational Waves in Higher-dimensional Space-time and Possibility of Observation
• Gravitational Waves as a Probe of the Extra Dimension
• Emergent Dark Matter in Late Time Universe on Holographic Screen
• Transition from inspiral to plunge for braneworld EMRI
• Leakage of gravitational waves into an extra dimension in the DGP model
• Black holes and nilmanifolds: quasinormal modes as the fingerprints of extra dimensions?
• Gravitational radiation from a binary system in odd-dimensional spacetime
• Probing charge of compact objects with gravitational microlensing of gravitational waves
• High frequency background gravitational waves from spontaneous emission of gravitons by hydrogen and helium
• Quantum gravity and gravitational-wave astronomy
• Probing black hole `charge' from the binary black hole inspiral
• Observational appearance of Kaluza-Klein black holes
• Application of Kaluza-Klein Theory in Modeling Compact Stars: Exploring Extra Dimensions
• Constraining the modified friction in gravitational wave propagation with precessing black hole binaries
• Spacetime evolution during moduli stabilization in radiation dominated era beyond 4D effective theory
• Accelerating Kaluza-Klein black hole and Kerr/CFT correspondence
• Scalar field propagation in braneworld black hole scenario obtained from Nash theorem
• Theoretical Radio Signals from Radio-Band Gravitational Waves Converted from the Neutron Star Magnetic Field
• Laser Interferometer in Presence of Scalar field on Gravitational Wave Background
• The role of longitudinal polarizations in Horndeski and macroscopic gravity: Introducing gravitational plasmas
• High Sensitivity Methodologies to Detect Radio Band Gravitational Waves