In a curvature-coupled propagation framework for modified gravity, gravitational-wave lensing in wave optics shows persistent infrared interactions that prevent the amplification factor from approaching unity at zero frequency, requiring an interacting Green function and partial-wave treatment.
Kerr spacetime and scalar wave equation: Exact resummation of the renormalized angular momentum in the eikonal limit
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abstract
We show that the null geodesic radial action for unbound orbits in the Kerr spacetime, and consequently the scattering angle, can be resummed in terms of hypergeometric functions, extending previous results [M.~M.~Ivanov, et al. arXiv:2504.07862]. We provide explicit expressions as series expansions in powers of the Kerr rotational parameter up the fourth order included. We finally use the Mano-Suzuki-Takasugi formalism to prove the relation between the renormalized angular momentum and the radial action highlighted in previous works.
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An MST-type analytic solution for the reduced confluent Heun equation of 5d Schwarzschild-Tangherlini scalar perturbations is constructed and its angular-momentum parameter matches the Seiberg-Witten value.
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Wave-optics gravitational wave lensing in modified gravity
In a curvature-coupled propagation framework for modified gravity, gravitational-wave lensing in wave optics shows persistent infrared interactions that prevent the amplification factor from approaching unity at zero frequency, requiring an interacting Green function and partial-wave treatment.
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5d Schwarzschild-Tangherlini spacetime: MST-like formalism for a Reduced Confluent Heun Equation
An MST-type analytic solution for the reduced confluent Heun equation of 5d Schwarzschild-Tangherlini scalar perturbations is constructed and its angular-momentum parameter matches the Seiberg-Witten value.