https://doi.org/10.1140/epjc/s10052-018-5854-5
Regular Article - Theoretical Physics
On the trajectories of null and timelike geodesics in different wormhole geometries
1
National Institute of Technology, Rourkela, Odisha, 769008, India
2
Department of Mathematics, Jadavpur University, Kolkata, 700032, India
* e-mail: anujmishra.physics@gmail.com
Received:
31
October
2017
Accepted:
30
April
2018
Published online:
11
May
2018
The paper deals with an extensive study of null and timelike geodesics in the background of wormhole geometries. Starting with a spherically symmetric spacetime, null geodesics are analyzed for the Morris–Thorne wormhole (WH) and photon spheres are examined in WH geometries. Both bounded and unbounded orbits are discussed for timelike geodesics. A similar analysis has been done for trajectories in a dynamic spherically symmetric WH and for a rotating WH. Finally, the invariant angle method of Rindler and Ishak has been used to calculate the angle between radial and tangential vectors at any point on the photon’s trajectory.
© The Author(s), 2018