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De La Rubia V.Author

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July 4, 2022
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Analogous Maxwellian Algorithm for photon geodesic calculation in General Static Isotropic Metrics

Publicated to:2021 51st European Microwave Conference, Eumc 2021. 630-633 - 2021-01-01 (), DOI: 10.23919/EuMC50147.2022.9784162

Authors: Falcon-Gomez E; Santamaria-Botello G; De Falco V; Amor-Martin A; De La Rubia V; Garcia Munoz LE

Affiliations

Universidad Carlos III de Madrid - Author
Universidad Politécnica de Madrid - Author
Universita degli Studi di Napoli Federico II - Author
University of Colorado Boulder - Author

Abstract

In this manuscript, we present an alternative method for calculating null geodesics in General Static Isotropic Metrics in General Relativity and Extended Theories of Gravity. We apply a conformal transformation to pass from curved to flat spacetimes, Maxwell's equations are solved and then photon geodesics are calculated. The curvature is encoded in the dielectric and magnetic properties of the medium. We apply this method in different black hole and wormhole metrics obtaining an excellent agreement with relative errors below 1.11% with respect to the analytical solutions in the original gravity framework. Finally, we provide the image of a Schwarzschild black hole surrounded by a thin accretion disk which is also very faithful and accurate (within 1.11% of relative error) with that proposed originally by Luminet.

Keywords

Analog gravity approachBlack hole and wormhole physicsMaxwell equationsRay-tracing technique

Quality index

Bibliometric impact. Analysis of the contribution and dissemination channel

From a relative perspective, and based on the normalized impact indicator calculated from the Field Citation Ratio (FCR) of the Dimensions source, it yields a value of: 1.68, which indicates that, compared to works in the same discipline and in the same year of publication, it ranks as a work cited above average. (source consulted: Dimensions Jul 2025)

Specifically, and according to different indexing agencies, this work has accumulated citations as of 2025-07-28, the following number of citations:

  • Scopus: 2

Impact and social visibility

From the perspective of influence or social adoption, and based on metrics associated with mentions and interactions provided by agencies specializing in calculating the so-called "Alternative or Social Metrics," we can highlight as of 2025-07-28:

  • The use of this contribution in bookmarks, code forks, additions to favorite lists for recurrent reading, as well as general views, indicates that someone is using the publication as a basis for their current work. This may be a notable indicator of future more formal and academic citations. This claim is supported by the result of the "Capture" indicator, which yields a total of: 2 (PlumX).

Leadership analysis of institutional authors

This work has been carried out with international collaboration, specifically with researchers from: Italy; United States of America.