A reduction scheme transforms arbitrary N-term scalar and matrix recurrence relations from black hole perturbations in modified gravity into three-term relations solvable by continued fractions.
Maggiore,Gravitational Waves
6 Pith papers cite this work. Polarity classification is still indexing.
representative citing papers
Stochastic gravitational waves induce 1-loop freeze-in production of fermionic dark matter via in-in formalism, potentially explaining the observed abundance more efficiently than conventional mechanisms.
Proposes APTA with 6 satellites and 10^{-18} relative clock uncertainty at 1s averaging to achieve sensitivity for observing 10^3-10^4 solar-mass black hole mergers in the decihertz band.
High initial eccentricities in stellar-mass black hole binaries produce a stochastic gravitational wave background distinguishable by LISA from quasi-circular models, enabling upper bounds on eccentricity and separation of environmental effects for dense gas.
A phenomenological dipole anisotropy in primordial perturbations induces dipolar and quadrupolar anisotropies in SIGW energy density spectra, producing frequency-dependent PTA overlap reduction functions that depend on pulsar sky distribution, but NANOGrav 15-year data yields no significant evidence
Global cosmic strings from symmetry breaking produce Nambu-Goldstone bosons whose cosmological signatures can be constrained by current and upcoming CMB and large-scale structure observations.
citing papers explorer
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Beyond Three Terms: Continued Fractions for Rotating Black Holes in Modified Gravity
A reduction scheme transforms arbitrary N-term scalar and matrix recurrence relations from black hole perturbations in modified gravity into three-term relations solvable by continued fractions.
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Gravitational Wave-Induced Freeze-In of Fermionic Dark Matter
Stochastic gravitational waves induce 1-loop freeze-in production of fermionic dark matter via in-in formalism, potentially explaining the observed abundance more efficiently than conventional mechanisms.
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Artificial Precision Timing Array: bridging the decihertz gravitational-wave sensitivity gap with clock satellites
Proposes APTA with 6 satellites and 10^{-18} relative clock uncertainty at 1s averaging to achieve sensitivity for observing 10^3-10^4 solar-mass black hole mergers in the decihertz band.
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Implications of the LISA stochastic signal from eccentric stellar mass black hole binaries in vacuum
High initial eccentricities in stellar-mass black hole binaries produce a stochastic gravitational wave background distinguishable by LISA from quasi-circular models, enabling upper bounds on eccentricity and separation of environmental effects for dense gas.
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Exploring the statistical anisotropy of primordial curvature perturbations with pulsar timing arrays
A phenomenological dipole anisotropy in primordial perturbations induces dipolar and quadrupolar anisotropies in SIGW energy density spectra, producing frequency-dependent PTA overlap reduction functions that depend on pulsar sky distribution, but NANOGrav 15-year data yields no significant evidence
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Echoes of Global Cosmic Strings
Global cosmic strings from symmetry breaking produce Nambu-Goldstone bosons whose cosmological signatures can be constrained by current and upcoming CMB and large-scale structure observations.