Light-like Geodesics at the Event Horizon

Christopher Laforet

doi:10.20944/preprints202303.0512.v9

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preprints.org > physical sciences > theoretical physics > doi: 10.20944/preprints202303.0512.v9

Preprint Article Version 9 Preserved in Portico This version is not peer-reviewed

Light-like Geodesics at the Event Horizon

Christopher Laforet

Version 1 : Received: 28 March 2023 / Approved: 29 March 2023 / Online: 29 March 2023 (14:31:46 CEST)
Version 2 : Received: 12 April 2023 / Approved: 13 April 2023 / Online: 13 April 2023 (12:54:36 CEST)
Version 3 : Received: 1 May 2023 / Approved: 4 May 2023 / Online: 4 May 2023 (11:42:02 CEST)
Version 4 : Received: 10 May 2023 / Approved: 11 May 2023 / Online: 11 May 2023 (14:15:52 CEST)
Version 5 : Received: 30 May 2023 / Approved: 31 May 2023 / Online: 31 May 2023 (13:23:04 CEST)
Version 6 : Received: 4 September 2023 / Approved: 5 September 2023 / Online: 5 September 2023 (10:01:55 CEST)
Version 7 : Received: 8 November 2023 / Approved: 9 November 2023 / Online: 9 November 2023 (14:49:33 CET)
Version 8 : Received: 3 December 2023 / Approved: 4 December 2023 / Online: 5 December 2023 (09:16:27 CET)
Version 9 : Received: 24 January 2024 / Approved: 25 January 2024 / Online: 5 February 2024 (15:19:21 CET)
Version 10 : Received: 10 March 2024 / Approved: 11 March 2024 / Online: 11 March 2024 (13:23:27 CET)

How to cite: Laforet, C. Light-like Geodesics at the Event Horizon. Preprints 2023, 2023030512. https://doi.org/10.20944/preprints202303.0512.v9 Laforet, C. Light-like Geodesics at the Event Horizon. Preprints 2023, 2023030512. https://doi.org/10.20944/preprints202303.0512.v9

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MDPI and ACS Style

Laforet, C. Light-like Geodesics at the Event Horizon. Preprints 2023, 2023030512. https://doi.org/10.20944/preprints202303.0512.v9

APA Style

Laforet, C. (2024). Light-like Geodesics at the Event Horizon. Preprints. https://doi.org/10.20944/preprints202303.0512.v9

Chicago/Turabian Style

Laforet, C. 2024 "Light-like Geodesics at the Event Horizon" Preprints. https://doi.org/10.20944/preprints202303.0512.v9

Abstract

This paper examines radially infalling worldlines in both Schwarzschild and Kruskal-Szekeres coordinates. A new Schwarzschild coordinate chart is presented which emphasizes the curvature of both the time and space coordinates and makes clear not only the mechanism by which the inertial observer is accelerated relative to the rest observers, but also clearly shows the light-like nature of the inertial worldline at the event horizon. The light-like nature of the falling frame is then supported by examining the falling worldlines in Kruskal-Szekeres coordinates. The effect of length contraction in the falling frame is also analyzed in both Schwarzschild and Kruskal-Szekeres coordinates.

Keywords

Black holes; General Relativity; Schwarzschild metric

Subject

Physical Sciences, Theoretical Physics

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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