Is it possible to distinguish between different black hole solutions using the Shapiro time delay?

Abstract

In this paper we propose to use 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. They are Schwarzschild, Reissner-Nordströ{}m, Bardeen, and Ayón-Beato and García. We created a numerical experiment, based on measurements made in the solar system, consisting of the round trip path of light passing through a black hole at the center. We obtained different delay times varying between the order of $10^{-4}$s and $10^{-6}$s, for a stellar black hole; and variations of the order of hours, for a supermassive one. Considering that the accuracy currently achieved in measurements made in the solar system are on the order of $10^{-12}$s, we believe that this mechanism could be used in black hole model determination in the near future.

References in corpus (20)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• The Confrontation between General Relativity and Experiment
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• First M87 Event Horizon Telescope Results. II. Array and Instrumentation
• First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
• Rotating regular black holes
• Rotating Regular Black Hole Solution
• Testing Rotating Regular Metrics as Candidates for Astrophysical Black Holes
• Absorption of planar massless scalar waves by Bardeen regular black holes
• Electrically charged black holes in linear and nonlinear electrodynamics: Geodesic analysis and scalar absorption
• Regular multihorizon black holes in $f(G)$ gravity with nonlinear electrodynamics
• Bardeen solution with a cloud of strings
• Massive Compact Bardeen Stars with Conformal Motion
• Second-order time delay by a radially moving Kerr-Newman black hole
• The Post-Newtonian Treatment of the VLBI Experiment on September 8, 2002
• Second Order Kerr-Newman Time Delay
• Scattering properties of charged black holes in nonlinear and Maxwell's electrodynamics
• The Measurement of the Light Deflection from Jupiter: Theoretical Interpretation