Regular Article - Theoretical Physics
Is it possible to distinguish between different black hole solutions using the Shapiro time delay?
Faculdade de Engenharia da Computação, Universidade Federal do Pará, Campus Universitário de Tucuruí, CEP: 68464-000, Tucuruí, Pará, Brazil
2 Faculdade de Física, Programa de Pós-Graduação em Física, Universidade Federal do Pará, 66075-110, Belém, Pará, Brazil
3 Faculdade de Ciências Exatas e Tecnologia, Universidade Federal do Pará Campus Universitário de Abaetetuba, 68440-000, Abaetetuba, Pará, Brazil
Accepted: 16 April 2023
Published online: 16 May 2023
In this paper we propose to use the Shapiro time delay as a tool to distinguish between different black hole solutions. We calculate the analytic Shapiro time using first order expansions for four solutions. These are Schwarzschild, Reissner–Nordström, Bardeen, and Ayón-Beato and García. We created a numerical experiment based on measurements in the solar system consisting of the outward and return paths of light traversing a black hole at the center. We obtained different delay times on the order of and for a stellar black hole; and variations on the order of hours for a supermassive hole. Considering that the accuracies currently achieved in solar system measurements are on the order of , we believe that this mechanism could be used in the determination of black hole models in the near future.
© The Author(s) 2023
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