Exact Kerr-like solution and its shadow in a gravity model with spontaneous Lorentz symmetry breaking

By Chikun Ding, Changqing Liu, R. Casana, A. Cavalcante. The European Physical Journal C, 2019

136 citations recorded by the source corpus.

We obtain an exact Kerr-like black hole solution by solving the corresponding gravitational field equations in Einstein-bumblebee gravity model where Lorentz symmetry is spontaneously broken once a vector field acquires a vacuum expectation value. Results are presented for the purely radial Lorentz symmetry breaking. In order to study the effects of this breaking, we consider the black hole shadow and find that the radial of the unstable spherical orbit on the equatorial plane rc\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$r_c$$\end{document} decreases with the Lorentz breaking constant ℓ>0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ell >0$$\end{document}, and increases with ℓ<0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\ell <0$$\end{document}. These shifts are similar to those of Einstein-aether black hole. The effect of the LV parameter on the black hole shadow is that it accelerates the appearance of shadow distortion, and could be detected by the new generation of gravitational antennas.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/034bce5e7d09a0ff4d585e6f4e82e7326eeeb15c

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In Astronomy and Astrophysics

  1. M. Jamil
  2. Chengzhou Liu
  3. M. Azreg-Aïnou
  4. Anzhong Wang
  5. Qiang Wu
  6. Tao Zhu
  7. K. Jusufi
  8. Emmanuel N. Saridakis

In Nuclear and High Energy Physics

  1. M. Jamil
  2. Chengzhou Liu
  3. M. Azreg-Aïnou
  4. Anzhong Wang
  5. Qiang Wu
  6. Tao Zhu
  7. K. Jusufi

In Statistical and Nonlinear Physics

  1. M. Jamil
  2. Anzhong Wang
  3. Qiang Wu
  4. Tao Zhu
  5. K. Jusufi

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