Turning points of massive particles in Schwarzschild geometry
J. Polonyi, A. Radosz, A. Siwek, and K. Ostasiewicz
TL;DR
This paper discusses the behavior of massive particles in Schwarzschild spacetime, showing that stable geodesics cannot approach the black hole's center closer than the photon sphere, indicating inevitable fall into the black hole.
Contribution
It identifies the turning points of massive particles in Schwarzschild geometry, highlighting the role of the photon sphere as a boundary for stable geodesics.
Findings
Massive particles cannot approach the black hole closer than the photon sphere.
Particles crossing the photon sphere do not escape, but fall into the black hole.
Stable geodesics are limited by the photon sphere radius.
Abstract
The stable geodesics in Schwarzschild geometry can not approach the center closer than the radius of the photon sphere, 3/2 times the Schwarzschild radius. In other words, massive particles moving along geodesics that cross the photon sphere do not escape, they fall into the black hole.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAstrophysical Phenomena and Observations · Relativity and Gravitational Theory · Experimental and Theoretical Physics Studies