Gravitational waves propagation in nondynamical Chern-Simons gravity

Abstract

We investigate the propagation of gravitational waves in linearized Chern-Simons (CS) modified gravity by considering two nondynamical models for the coupling field $\theta$: (i) a domain wall and (ii) a surface layer of $\theta$, motivated by their relevance in condensed matter physics. We demonstrate that the metric and its first derivative become discontinuous for a domain wall of $\theta$, and we determine the boundary conditions by realizing that the additional contribution to the wave equation corresponds to one of the self-adjoint extensions of the D'Alembert operator. Nevertheless, such discontinuous metric satisfies the area matching conditions introduced by Barrett. On the other hand, the propagation through a surface layer of $\theta$ behaves similarly to the propagation of electromagnetic waves in CS extended electrodynamics. In both cases we calculate the corresponding reflection and transmission amplitudes. As a consequence of the distributional character of the additional terms in the equations that describe wave propagation, the results obtained for the domain wall are not reproduced when the thickness of the surface layer goes to zero, as one could naively expect.

arXiv commentAccepted for publication in the International Journal of Modern Physics D

References in corpus (32)

• Topological Insulators
• Topological insulators and superconductors
• Observation of Gravitational Waves from a Binary Black Hole Merger
• f(R) Theories Of Gravity
• f(R) theories
• Seeing the magnetic monopole through the mirror of topological surface states
• Chern-Simons Modification of General Relativity
• Cosmological Signature of New Parity-Violating Interactions
• Electromagnetic and gravitational responses and anomalies in topological insulators and superconductors
• Geometry of General Hypersurfaces in Spacetime: Junction Conditions
• The effects of Chern-Simons gravity on bodies orbiting the Earth
• Gravitational Anomalies and Thermal Hall effect in Topological Insulators
• Topological field theory and thermal responses of interacting topological superconductors
• Cross-Correlated Responses of Topological Superconductors and Superfluids
• Electric-Magnetic Duality and Topological Insulators
• Axion topological field theory of topological superconductors
• Measuring a piecewise constant axion field in classical electrodynamics
• Parametrized Post-Newtonian Expansion of Chern-Simons Gravity
• Green's function approach to Chern-Simons extended electrodynamics: an effective theory describing topological insulators
• Chern-Simons Modified Gravity as a Torsion Theory and its Interaction with Fermions
• Electro and magneto statics of topological insulators as modeled by planar, spherical and cylindrical $\theta$ boundaries: Green function approach
• A Green's function approach to the Casimir effect on topological insulators with planar symmetry
• Electromagnetic description of three-dimensional time-reversal invariant ponderable topological insulators
• Viscoelastic-electromagnetism and Hall viscosity
• Continuous coordinates for all impulsive pp - waves
• Electromagnetic and thermal responses in topological matter: topological terms, quantum anomalies and D-branes
• Dynamical axion in topological superconductors and superfluids
• Optical Properties of a θ-Vacuum
• Chiral Gravitomagnetic Effect in Topological Superconductors and Superfluids
• Optical Properties Chern-Simons (3+1)D $\theta$-systems
• Generalized local interactions in 1D: solutions of quantum many-body systems describing distinguishable particles
• Testing Chern-Simons modified gravity with orbiting superconductive gravity gradiometers --- The non-dynamical formulation

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• Slow Kerr-NUT black hole solution in dynamical Chern-Simons modified gravity