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GR: Fachverband Gravitation und Relativitätstheorie

GR 1: Black Holes

GR 1.5: Talk

Monday, March 20, 2023, 17:50–18:10, ZEU/0260

Gravitational Lensing of Massive Particles in the NUT Spacetime — •Torben Frost — ZARM, University of Bremen, Bremen, Germany

Gravitational lensing of light is already a well-investigated question. Gravitational lensing of massive particles on the other hand did not receive much attention so far. This has mainly two reasons. First, appropriate particles, currently only neutrinos, are rare, hard to detect and their emission events short-lived. Second, particle detectors capable of detecting them only have a low angular resolution. However, considered in the framework of a multimessenger approach gravitational lensing of massive particles may provide us with supplementary information to gain a better understanding about their source and the lens. Therefore, in this talk we will discuss the potential of gravitational lensing of massive particles using the example of a NUT black hole acting as lens. We will first discuss and solve the equations of motion for timelike geodesics using elementary as well as elliptic functions and integrals. Then we will introduce latitude-longitude coordinates on the celestial sphere of an observer in the domain of outer communication and relate them to the constants of motion. Finally, we will derive the angular radius of the particle shadow, write down a lens equation, and calculate the travel time of the particles. We will also discuss differences with respect to lightlike geodesics.