https://doi.org/10.1140/epjc/s10052-023-11520-z
Regular Article - Theoretical Physics
Is it possible to distinguish between different black hole solutions using the Shapiro time delay?
1
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
Received:
21
February
2023
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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