TY - JOUR

T1 - Schwarzschild-like black hole with a topological defect in bumblebee gravity

AU - Güllü, İbrahim

AU - Övgün, Ali

N1 - Funding Information:
The authors are grateful to the anonymous referees for their valuable comments and suggestions to improve the paper.
Publisher Copyright:
© 2021 Elsevier Inc.

PY - 2022/1

Y1 - 2022/1

N2 - In this paper, we derive an exact black hole spacetime metric in the Einstein–Hilbert–Bumblebee (EHB) gravity around global monopole field. We study the horizon, temperature, and the photon sphere of the black hole. Using the null geodesics equation, we obtain the shadow cast by the Schwarzschild-like black hole with a topological defect in bumblebee gravity. Interestingly, the radius of shadow of the black hole increases with increase in the global monopole parameter. We also visualize the shadows and energy emission rates for different values of parameters. Moreover, using the Gauss–Bonnet theorem, we calculate the deflection angle in weak field limits and we discuss the possibility of testing the effect of global monopole field and bumblebee field, on a weak deflection angle. We find that the global monopole parameter and also Lorentz symmetry breaking parameter has an increasing effect on the deflection angle.

AB - In this paper, we derive an exact black hole spacetime metric in the Einstein–Hilbert–Bumblebee (EHB) gravity around global monopole field. We study the horizon, temperature, and the photon sphere of the black hole. Using the null geodesics equation, we obtain the shadow cast by the Schwarzschild-like black hole with a topological defect in bumblebee gravity. Interestingly, the radius of shadow of the black hole increases with increase in the global monopole parameter. We also visualize the shadows and energy emission rates for different values of parameters. Moreover, using the Gauss–Bonnet theorem, we calculate the deflection angle in weak field limits and we discuss the possibility of testing the effect of global monopole field and bumblebee field, on a weak deflection angle. We find that the global monopole parameter and also Lorentz symmetry breaking parameter has an increasing effect on the deflection angle.

KW - Bumblebee gravity

KW - Gauss–Bonnet theorem

KW - Global monopole

KW - Lorentz symmetry breaking

KW - Shadow

KW - Weak deflection angle

UR - http://www.scopus.com/inward/record.url?scp=85121323380&partnerID=8YFLogxK

U2 - 10.1016/j.aop.2021.168721

DO - 10.1016/j.aop.2021.168721

M3 - Article

AN - SCOPUS:85121323380

VL - 436

JO - Annals of Physics

JF - Annals of Physics

SN - 0003-4916

M1 - 168721

ER -