Relativity and Cosmology

   

Signal Transmission in the Schwarzschild Metric: The Case of Forced Motion at a Constant Fraction of the Speed of Light

Authors: Miquel Piñol

In this article, we examine the case of a body following a nongeodesic centripetal trajectory in the Schwarzschild metric while maintaining a constant fraction of the speed of light. At any moment, light signals can be sent to the body and recovered after reflecting off its surface. Nevertheless, in its own comoving reference frame, the body would require only a finite amount of proper time to reach the Schwarzschild radius. This raises a paradox: the ability to send and recover signals implies that the body remains outside the event horizon, contradicting the usual interpretation of gravitational collapse based on finite proper time. As the body follows a nongeodesic trajectory, we compute the four-force necessary to sustain its motion.

Comments: 6 Pages.

Download: PDF

Submission history

[v1] 2025-02-06 18:07:35

Unique-IP document downloads: 131 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus