Chern-Simons Modification of General Relativity

Abstract

General relativity is extended by promoting the three-dimensional gravitational Chern-Simons term to four dimensions. This entails choosing an embedding coordinate v_μ-- an external quantity, which we fix to be a non-vanishing constant in its time component. The theory is identical to one in which the embedding coordinate is itself a dynamical variable, rather than a fixed, external quantity. Consequently diffeomorphism symmetry breaking is hidden in the modified theory: the Schwarzschild metric is a solution; gravitational waves possess two polarizations, each traveling at the velocity of light; a conserved energy-momentum (pseudo-) tensor can be constructed. The modification is visible in the intensity of gravitational radiation: the two polarizations of a gravity wave carry intensities that are suppressed/enchanced by the extension.

19 pages, added references, an addition in section 5

Cited by in corpus (524)

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• Quantum-Ordering Ambiguities in Weak Chern-Simons 4D Gravity and Metastability of the Condensate-Induced Inflation
• Conservative Dynamics of Relativistic Binaries Beyond Einstein Gravity
• Circularly polarized gravitational waves in Chern-Simons gravity originated from an axion domain wall
• Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics
• Polarization Properties of the Electromagnetic Response to High-frequency Gravitational Wave
• Testing Chern-Simons modified gravity with orbiting superconductive gravity gradiometers --- The non-dynamical formulation
• Spinning (A)dS Black Holes with Slow-Rotation Approximation in Dynamical Chern-Simons Modified Gravity
• Asymptotically AdS black hole with a conformally-coupled scalar field in the first-order formalism of gravity
• Membrane paradigm of black holes in Chern-Simons modified gravity
• Physical Effects of the Gravitational $\Theta$-Parameter
• Chiral Gravitational Wave Background from Audible Axion via Nieh-Yan Term
• Unimodular gravity theory with external sources in a Lorentz-symmetry breaking scenario
• Gravitational-wave effects in the most general vector-tensor theory
• Ghost Free Theory in Unitary Gauge: A New Candidate
• On the equivalence between $f\left(R\right)$ theories and Einstein gravity
• Bounds on Parity Violation In the Cosmological Redshift
• Particle-antiparticle asymmetry from magnetogenesis through the Landau mechanism
• Non-smooth gravity and parity violation
• Gravitational Signatures of Axion Dark Matter via Parity-Violating Interactions
• Holographic Entanglement Entropy for Gravitational Anomaly in Four Dimensions
• A Higgs--Chern-Simons gravity model in 2+1 dimensions
• Probing Fundamental Physics with Gravitational Waves
• Proposal for a Quantum Mechanical Test of Gravity at Millimeter Scale
• On causality violation in Lyra Geometry
• Geometric and computational aspects of chiral topological quantum matter
• Signatures of asymmetry: Gravitational wave memory and the parity violation
• Different approaches to unveil biomolecule configurations and their mutual interactions
• A comment on Metric vs Metric-Affine Gravity
• The most complete mass-dimension four topological gravity
• Slow Kerr-NUT black hole solution in dynamical Chern-Simons modified gravity
• Revisiting Flat Rotation Curves in Chern-Simons Modified Gravity
• Flat spectra of cosmic gravitons in the nHz and audio bands
• Scalar parity-odd trispectrum from gravitational Chern-Simons interaction vertices
• Computing spectral shifts for Johannsen-Psaltis black holes
• Signature of biased range in the non-dynamical Chern-Simons modified gravity and its measurements with satellite-satellite tracking missions: Theoretical studies
• Vacuum polarization in Yang-Mills theories with Lorentz violation
• CPT-Odd effects on the electromagnetic properties of charged leptons in the Standard Model Extension
• Sensitivity forecasts for gravitational-wave detectors to dark matter decaying into gravitons
• The fate of boundary terms in dimensional reductions
• Inflation with the Chern-Simons term in the Palatini formulation
• Search for exotic gravitational wave signals beyond general relativity using deep learning
• Gravitational waves in metric-affine bumblebee gravity
• Mixed gauge-gravity term and proper time
• Space-times produced by a time-dependent scalar field
• Fermions in $(1+2)$-dimensions modified by nonminimal coupling and its applications to condensed matter physics
• On the inefficiency of fermion level-crossing under the parity-violating spin-2 gravitational field
• Neural Post-Einsteinian Test of General Relativity with the Third Gravitational-Wave Transient Catalog
• Dynamics and gravitational radiation of binaries with spin precession and eccentricity in dynamical Chern-Simons gravity
• Generalized forms and gravitation
• Parity-violating corrections to the orbital precession of binary system
• Neutron stars as extreme gravity probes
• Solutions of a slowly rotating Kerr flat-horizon black hole in dynamical Chern-Simons modified gravity
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
• Dalitz Plot Kinematics for a Lorentz-Violating Three-Body Decay
• Dynamical 4-D Gauss-Bonnet action from matter-graviton interaction at one-loop
• The absence of the Kerr black hole in the Hořava-Lifshitz gravity
• Torsion, Chern-Simons Term and Diffeomorphism Invariance
• Topological Properties and Characterizations
• Bridging inflation and reheating: chiral gravitational waves from aHz to GHz
• The Exterior Calculus of Quadratic Gravity
• Quantum gravity and spacetime symmetries
• Dynamical-System analysis of single-axion monodromy inflation with periodically-modulated potentials
• Parity Violation in Spin-Precessing Binaries: Gravitational Waves from the Inspiral of Black Holes in Dynamical Chern-Simons Gravity
• Chern-Simons gravitational term coupled to a spectator field
• Slowly rotating black hole in chiral scalar-tensor theory
• Canonical analysis for Chern-Simons modification of general relativity
• Non-metricity effects on electron scattering in bumblebee gravity
• Geometric Baryogenesis with Chiral-Time Equivalence
• The Lanczos potential and Chern-Simons theory
• Twisting inflation to sub-Planckian axion decay constants
• Particles, Forces and the Early Universe
• Revisiting a parity violating gravity model without ghost instability: Local Lorentz covariance
• Unifying an asymmetric bounce to the dark energy in Chern-Simons F(R) gravity
• Chern-Simons Extension of ESK Theory
• The role of longitudinal polarizations in Horndeski and macroscopic gravity: Introducing gravitational plasmas
• Stability analysis of geodesics in dynamical Chern-Simons black holes: a geometrical perspective
• Tricritical gravity waves in the four-dimensional generalized massive gravity
• Generalized Chern-Simons action principles for gravity
• First Order Axial Perturbation of the Reissner-Nordström Metric in a Possible Parity-Violating Gravity Background
• Scalarization of Chern-Simons Kerr Black Hole Solutions and Wormholes
• Inferring neutron-star Love-Q relations from gravitational waves in the hierarchical Bayesian framework
• Beyond general relativity: gravitational waves in non-minimally coupled theories
• Cosmology of Gravi-Axions
• Note on cosmology of dimensionally reduced gravitational Chern-Simons
• Constraining Lorentz and parity violations in gravity with multiband gravitational wave observations
• Generalized Chern-Pontryagin models
• Spacetime of rotating black holes surrounded by massive scalar charges
• Relic gravitons at intermediate frequencies and the expansion history of the Universe
• Circularly polarized gravitational waves from parity-violating scalar-tensor theory
• Inflation with the Gauss-Bonnet term in the Palatini formulation
• Effects of Chern-Simons Corrections on Conserved Quantities of Relativistic Fluid