A shadows from the static black hole mimickers
Muratkhan A. Orazymbet A. Zhakipova M. Assylbek M. Toktarbay S.
2022al-Farabi Kazakh State National University
International Journal of Mathematics and Physics
2022#13Issue 244 - 49 pp.
In this work, we study shadows from the naked singularity spacetime. The most analytical solutions of black hole shadows only investigated the case that the geodesic equations for photons can separate variables. We review the spherical null naked singularity metric and this spherically symmetric naked singularity spacetime metric is the solution of Einstein equations with an anisotropic fluid source which has no photon sphere. We also review a static, axially-symmetric singular solution of the vacuum Einstein’s equations without an event horizon which is can be used to describe the exterior gravitational field of a mass distribution with quadrupole moment. Moreover, the corresponding spacetime is characterized by the presence of naked singularities. It is theoretically known that not only a black hole can cast shadow, but other compact objects such as naked singularities, gravastar or boson stars can also cast shadows. We present the analytical calculation of shadows for both naked singularities spacetime and compare with the shadow of Schwarzschild static black hole, we show that this can serve as a black hole mimicker.
compact object , naked singularity , shadow
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Al-Farabi Kazakh National University, Almaty, Kazakhstan
Kazakh National Women’s Teacher Training University, Almaty, Kazakhstan
Al-Farabi Kazakh National University
Kazakh National Women’s Teacher Training University
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