Classification of Gravitational Waves in Higher-dimensional Space-time and Possibility of Observation

Abstract

The direct detection of gravitational waves opens the possibility to test general relativity and its alternatives in the strong field regime. Here we focus on the test of the existence of extra dimensions. The classification of gravitational waves in metric gravity theories according to their polarizations in higher-dimensional space-time and the possible observation of these polarizations in 3-dimensional subspace are discussed in this work. And we show that the difference in the response of gravitational waves in detectors with and without extra dimensions can serve as evidence for the existence of extra dimensions.

arXiv comment19 pages, 4 figures

References in corpus (43)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• The Cosmological Constant and Dark Energy
• Modified Gravity and Cosmology
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• 4D Gravity on a Brane in 5D Minkowski Space
• Tests of general relativity with GW150914
• Relativistic gravitation theory for the MOND paradigm
• Dark Energy after GW170817: dead ends and the road ahead
• Dark Energy after GW170817 and GRB170817A
• Using gravitational-wave standard sirens
• Implications of the Neutron Star Merger GW170817 for Cosmological Scalar-Tensor Theories
• Einstein-Aether Waves
• The TianQin project: current progress on science and technology
• Limits on the number of spacetime dimensions from GW170817
• A Precise Distance to the Host Galaxy of the Binary Neutron Star Merger GW170817 Using Surface Brightness Fluctuations
• Brane-world extra dimensions in light of GW170817
• Probing Gravity with Spacetime Sirens
• Detection strategies for scalar gravitational waves with interferometers and resonant spheres
• Generalization of the Geroch-Held-Penrose formalism to higher dimensions
• Detecting Vanishing Dimensions Via Primordial Gravitational Wave Astronomy
• Causality of the brane universe
• Signatures of extra dimensions in gravitational waves
• Shortcuts in the fifth dimension
• The Polarizations of Gravitational Waves
• Interpreting spacetimes of any dimension using geodesic deviation
• Sensitivity functions for space-borne gravitational wave detectors
• Searching anomalous polarization modes of stochastic gravitational wave background with LISA and Taiji
• Probing extra dimension through gravitational wave observations of compact binaries and their electromagnetic counterparts
• Constraining cosmological extra dimensions with gravitational wave standard sirens: from theory to current and future multi-messenger observations
• Constraining alternative theories of gravity using GW$150914$ and GW$151226$
• Polarization Modes of Gravitational Waves in Palatini Horndeski theory
• The Exact Amplitudes of Six Polarization Modes for Gravitational Waves
• Constraining the Extra Polarization Modes of Gravitational Waves with Double White Dwarfs
• Constraint on the radius of five-dimensional dS spacetime with GW170817 and GRB 170817A
• Multibrane DGP model: Our universe as a stack of $(2+1)$-dim branes
• Detection of gravitational wave mixed polarization with single space-based detectors
• Can be gravitational waves markers for an extra-dimension?
• Leakage of gravitational waves into an extra dimension in the DGP model
• Gravitational radiation from a binary system in odd-dimensional spacetime

Cited by in corpus (5)

• Polarization modes of gravitational waves in generalized Proca theory
• Polarization modes of gravitational waves in general modified gravity: General metric theory and general scalar-tensor theory
• Polarization modes of gravitational waves in general Einstein-vector theory
• Testing gravity with gauge-invariant polarization states of gravitational waves: Theory and pulsar timing sensitivity
• Gravitational-wave effects in the most general vector-tensor theory