Imprints of a gravitational wave through the weak field deflection of photons

Abstract

This paper investigates the novel phenomenon of gravitational lensing experienced by gravitational waves traveling past a Schwarzschild black hole perturbed by a specific, first-order, polar gravitational wave. We utilize the Gauss-Bonnet theorem, uncovering a topological contribution to the deflection of light rays passing near the black hole. We demonstrate that the deflection angle can be determined by analyzing a region entirely outside the light ray's path, leading to a calculation based solely on the parameters of the perturbing wave (Legendre polynomial order, $l$, and frequency, $\sigma$). This approach offers a unique perspective on gravitational lensing and expands our understanding of black hole interactions with gravitational waves.

7 pages, 2 figures. Accepted for publication in CPC

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Cited by in corpus (4)

• On the analytic generalization of particle deflection in the weak field regime and shadow size in light of EHT constraints for Schwarzschild-like black hole solutions
• Gauss-Bonnet lensing of spinning massive particles in static spherically symmetric spacetimes
• On the global Gaussian bending measure and its applications in stationary spacetimes
• The influence of cosmological constant on light deflection in rotating spacetimes via the generalized Gibbons-Werner method