https://doi.org/10.1140/epjc/s10052-024-13147-0
Regular Article - Theoretical Physics
New features of circular geodesics in Kalb–Ramond gravity: an autonomous dynamical system approach
1
Ufa State Petrochemical University, 22b, Gubkina Street, 453250, Salavat, RB, Russia
2
Surya Sen Mahavidyalaya, 734004, Siliguri, WB, India
3
Ufa University of Science and Technology, 47A, Lenin Street, 453103, Sterlitamak, RB, Russia
Received:
16
April
2024
Accepted:
21
July
2024
Published online:
10
August
2024
Kalb–Ramond gravity is expected to show the signatures of the low energy limit of the Lorentz violating extension of the standard model of particle physics. To understand the theory further, we study the circular geodesics belonging to a class of exact solutions [found recently by Lessa, Silva, Maluf, Almeida (LSMA)] by posing them as a Hamiltonian dynamical autonomous system. The analysis on the phase space for relevant values of the Lorentz violating parameters reveals for the first time a wealth of novel information that include prediction of homoclinic orbits, saddle points, separatrices that are not available from the conventional analysis. Their image on the actual physical space is discussed.
© The Author(s) 2024
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Funded by SCOAP3.
