Relativity and Cosmology

   

Signal Transmission in the Schwarzschild Metric: an Analogy with Special Relativity

Authors: Miquel Piñol

From the perspective of a distant observer, a free-falling body in the Schwarzschild metric would require an infinite time to reach the Schwarzschild radius, whereas a comoving observer would measure just a finite interval of proper time along that path. This paradoxical situation is commonly interpreted considering the perspective of the distant observer as a simple “artifact” due to the enormous delay of the light signals emitted by the free-falling body during its fall, “already” completed. This interpretation of relativistic mechanics is intrinsically inconsistent, as shown in this article. We propose an alternative elucidation based on the analogy between the asymptotic trajectory of a free-falling body approaching the horizon event of a Schwarzschild black hole and an accelerated body exponentially asymptotically tending to the speed of light in Special Relativity.

Comments: 15 Pages.

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Submission history

[v1] 2021-09-22 17:15:41

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