Deflection of light in time-periodic spherically symmetric gravitational fields
arXiv:2012.08200 · doi:10.1103/PhysRevD.102.064007
Abstract
Using the geodesic method and the perturbative approach, we study the deflection of light by time-periodic spherically symmetric gravitational fields. Assuming the weakness of the gravitational field, we derive general formulas that determine the deflection angle in the leading order approximation. The formulas are valid for both time-periodic and static metrics. Using these results, we calculate the deflection angle of a light ray passing through a spherically symmetric oscillating distribution of a self-gravitating scalar field with a logarithmic potential. It turned out that in this case the deflection angle does not depend on time in the leading order.
14 pages
References in corpus (7)
- Applications of the Gauss-Bonnet theorem to gravitational lensing
- Light on curved backgrounds
- Scalar field haloes as gravitational lenses
- On the effect of the cosmological expansion on the gravitational lensing by a point mass
- Gravipulsons
- Mapping weak lensing distortions in the Kerr metric
- Gravitational frequency shift of light signals in a pulsating dark matter halo