EMRIs resonantly drive zero-damped modes of near-extremal Kerr black holes, with the pole recovered from real-frequency orbital data via complex-response tomography.
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Testing General Relativity with Low-Frequency, Space-Based Gravitational-Wave Detectors
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abstract
We review the tests of general relativity that will become possible with space-based gravitational-wave detectors operating in the ~0.01mHz - 1Hz low-frequency band. The fundamental aspects of gravitation that can be tested include the presence of additional gravitational fields other than the metric; the number and tensorial nature of gravitational-wave polarization states; the velocity of propagation of gravitational waves; the binding energy and gravitational-wave radiation of binaries, and therefore the time evolution of binary inspirals; the strength and shape of the waves emitted from binary mergers and ringdowns; the true nature of astrophysical black holes; and much more. The strength of this science alone calls for the swift implementation of a space-based detector; the remarkable richness of astrophysics, astronomy, and cosmology in the low-frequency gravitational-wave band make the case even stronger.
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A HeunC framework computes gravitational-wave fluxes from generic Kerr orbits with 10^{-11} relative errors and speedups of 3-60x over prior packages by eliminating auxiliary parameters via analytic continuation and adaptive quadrature.
Chaos arises for realistic secondary spins in Schwarzschild EMRIs and imprints measurable signatures on gravitational waves, including higher spectral flatness.
Computes scalar and tensor fluxes for eccentric EMRIs with massive scalars, quantifies dephasing, and shows via Fisher matrix that LISA can constrain scalar charge and mass.
Periodic orbits in charged LQG black holes produce zoom-whirl gravitational waveforms detectable by future space-based observatories, with features depending on the fixed polymerization parameter.
LISA EMRIs can constrain deviations from Kerr equatorial symmetry to 10^{-2} and axial symmetry to 10^{-3} using Analytic Kludge waveforms and Fisher analysis.
LISA can constrain the Lorentz symmetry breaking parameter ell in bumblebee gravity to O(10^{-4}) uncertainty via EMRI waveform analysis in the AAK framework.
The paper derives statistic thresholds to distinguish dynamical friction from dark matter spikes, extra dimension theory, and varying G theory using -4 PN order GW corrections in massive black hole binary inspirals across different astronomical models.
The quantum parameter ξ in an asymptotically safe regular black hole shifts the innermost stable orbit, enhances whirl behavior in periodic geodesics, and produces amplitude-modulated millihertz gravitational-wave strains whose peak amplitude grows with ξ, placing them inside the sensitivity bands预计
EMRI waveforms in a rotating black hole with Dehnen DM halo show amplitude and phase shifts from Kerr, with mismatch rising as DM mass parameter and black hole spin increase.
Modeling accretion disk interactions with EMRIs allows reliable environment identification and boosts dark-siren Hubble constant precision by as much as 20% for individual events.
Current and future observations can test whether dark compact objects are Kerr black holes or exotic alternatives, with null results strengthening the black hole paradigm.
A review summarizing modified theories of gravity, their effects on compact objects, existing bounds from astrophysical observations, and the promise of future gravitational wave tests for strong-field gravity.
Experiments confirm general relativity to high precision in weak-field and strong-field regimes, with gravitational wave damping matching predictions to better than 0.5 percent.
citing papers explorer
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Long-Lived Ringing of Near-Extremal Kerr Black Holes Resonantly Driven by Extreme-Mass-Ratio Inspirals
EMRIs resonantly drive zero-damped modes of near-extremal Kerr black holes, with the pole recovered from real-frequency orbital data via complex-response tomography.
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Efficient and Stable Computation of Gravitational-Wave Fluxes from Generic Kerr Orbits via a Unified HeunC Framework
A HeunC framework computes gravitational-wave fluxes from generic Kerr orbits with 10^{-11} relative errors and speedups of 3-60x over prior packages by eliminating auxiliary parameters via analytic continuation and adaptive quadrature.
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Astrophysically Realistic Secondary Spins Trigger Chaos in Schwarzschild Spacetime and Discernible Gravitational Wave Signatures
Chaos arises for realistic secondary spins in Schwarzschild EMRIs and imprints measurable signatures on gravitational waves, including higher spectral flatness.
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Massive scalar fields in eccentric regime: Detectability and constraints from LISA observations of extreme mass-ratio inspirals
Computes scalar and tensor fluxes for eccentric EMRIs with massive scalars, quantifies dephasing, and shows via Fisher matrix that LISA can constrain scalar charge and mass.
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Periodic orbits as probes of charged loop quantum gravity black holes through gravitational waves
Periodic orbits in charged LQG black holes produce zoom-whirl gravitational waveforms detectable by future space-based observatories, with features depending on the fixed polymerization parameter.
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Probing Kerr Symmetry Breaking with LISA Extreme-Mass-Ratio Inspirals
LISA EMRIs can constrain deviations from Kerr equatorial symmetry to 10^{-2} and axial symmetry to 10^{-3} using Analytic Kludge waveforms and Fisher analysis.
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Constraining Lorentz symmetry breaking in bumblebee gravity with extreme mass-ratio inspirals
LISA can constrain the Lorentz symmetry breaking parameter ell in bumblebee gravity to O(10^{-4}) uncertainty via EMRI waveform analysis in the AAK framework.
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Statistic threshold of distinguishing the environmental effects and modified theory of gravity with multiple massive black-hole binaries
The paper derives statistic thresholds to distinguish dynamical friction from dark matter spikes, extra dimension theory, and varying G theory using -4 PN order GW corrections in massive black hole binary inspirals across different astronomical models.
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Probing Gravitational Wave Signatures from Periodic Orbits of Regular Black Holes in Asymptotically Safe Gravity
The quantum parameter ξ in an asymptotically safe regular black hole shifts the innermost stable orbit, enhances whirl behavior in periodic geodesics, and produces amplitude-modulated millihertz gravitational-wave strains whose peak amplitude grows with ξ, placing them inside the sensitivity bands预计
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Gravitational waves of extreme-mass-ratio inspirals in a rotating black hole with Dehnen dark matter halo
EMRI waveforms in a rotating black hole with Dehnen DM halo show amplitude and phase shifts from Kerr, with mismatch rising as DM mass parameter and black hole spin increase.
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Probing Active Galactic Nuclei and Measuring the Hubble constant with Extreme-Mass-Ratio Inspirals
Modeling accretion disk interactions with EMRIs allows reliable environment identification and boosts dark-siren Hubble constant precision by as much as 20% for individual events.
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Testing the nature of dark compact objects: a status report
Current and future observations can test whether dark compact objects are Kerr black holes or exotic alternatives, with null results strengthening the black hole paradigm.
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Testing General Relativity with Present and Future Astrophysical Observations
A review summarizing modified theories of gravity, their effects on compact objects, existing bounds from astrophysical observations, and the promise of future gravitational wave tests for strong-field gravity.
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The Confrontation between General Relativity and Experiment
Experiments confirm general relativity to high precision in weak-field and strong-field regimes, with gravitational wave damping matching predictions to better than 0.5 percent.
- Post-Newtonian inspiral waveform model for eccentric precessing binaries with higher-order modes and matter effects