https://doi.org/10.1140/epjc/s10052-024-13177-8
Regular Article – Theoretical Physics
Dirac stars in Anti-de Sitter spacetime
1
Lanzhou Center for Theoretical Physics, Key Laboratory of Theoretical Physics of Gansu Province, School of Physical Science and Technology, Lanzhou University, 730000, Lanzhou, China
2
Institute of Theoretical Physics and Research Center of Gravitation, Lanzhou University, 730000, Lanzhou, China
b
lizhao@lzu.edu.cn
c
yqwang@lzu.edu.cn
Received:
29
February
2024
Accepted:
30
July
2024
Published online:
27
September
2024
In this paper, we construct the Dirac stars model composed of two Dirac fields and Einstein gravity in four-dimensional Anti-de Sitter spacetime. We consider the Dirac stars with free field (no self-interacting). Our investigation focuses on understanding the relationship between Arnowitt–Deser–Misner (ADM) mass and binding energy in relation to the cosmological constant. Furthermore, we extend the study to the Dirac stars with self-interacting potentials. For the self-interacting Dirac stars, three types of interactions are examined: only quartic, only sextic, quartic and sextic interactions that is kind of Q-ball type interactions. In these three distinct scenarios, it is essential to investigate the impact of self-interaction constants on Dirac stars. Additionally, we study the Dirac solitons in the AdS background. Finally, we discussed the dependence of the spectral flow of the Dirac Hamiltonian on the model parameters.
© The Author(s) 2024
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