Abstract
A Kerr-Sen-like black hole solution appears in the Einstein-bumblebee theory of gravity. The solution contains contains a Lorentz violating parameter in an explicit manner. We study the null geodesics in the background of this Kerr-Sen-like black hole surrounded by a dispersive medium like plasma. We investigate the effect of the charge of the black hole, the Lorentz violation parameter, and the plasma parameter on the photon orbits with the evaluation of the effective potential in the presence of both the Lorentz violation parameter and the plasma parameter. We also study the influence of the Lorentz violation parameter and plasma parameter on the emission of energy from the black hole due to thermal radiation. Besides, we compute the angle of deflection of massless particles with weak-field approximation in this generalized situation and examine how it varies with the Lorentz violation parameter in presence of plasma. Constraining the parameters of this Lorentz violating Kerr-Sen-like black hole is also attempted here with the result obtained from the observations of the Event Horizon Telescope (EHT) collaboration.
Highlights
Article [8], Synge studied the shadow of the Schwarzschild black hole, which was termed as the escape cone of light
The shadow of black holes in presence of plasma has become an interesting field of research for physicists since there is a good reason for considering that black holes and other compact objects are surrounded by plasma
The physics of black holes is crucially linked with the Planck energy scale where gravity is sufficiently strong and a classical field theory of curved spacetime is not adequate to capture the finer details of the Planck scale
Summary
In General Relativity, light is attributed to the null geodesic of the spacetime metric and the in-medium effect, which is negligible for most of the frequency ranges, is significant for the radio frequency range. The Lorentz violation aspect may be considered as a good probe on the foundation of physics In this context, the study of the LV effect on the shadow of a black hole in the presence of dispersive media like plasma would be of interest. There is enough room for investigation concerning the viability of black holes predicted from modified theories of gravity with the help of the observed data of M87∗ black hole shadow by the EHT collaboration placing constraints on the black hole parameters, and it becomes an important tool to test the phenomena of strong gravitational fields Extensive development in this direction is going on [52,53,54,55,56,57,58].
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