Geodesic motion in the spacetime of a (2 + 1) D black hole conformally coupled to a massless scalar

Soroushfar, Saheb

doi:10.22128/jhap.2023.654.1041

Geodesic motion in the spacetime of a (2 + 1) D black hole conformally coupled to a massless scalar

Document Type : Regular article

Author

Saheb Soroushfar

Yasouj University, Iran

10.22128/jhap.2023.654.1041

Abstract

In this paper, we consider a (2+1) D black hole conformally coupled to a massless

scalar. Then the geodesic motion of test particles and light rays in the vicinity of the spacetime of

this black hole is studied. Moreover, the geodesic equations are solved analytically according to

Weierstrass elliptic and derivatives of Kleinian sigma hyperelliptic functions. Also, the possible

orbits are discussed and classified according to the particle's energy and angular momentum.

Keywords