arXiv:2402.14038v1 Announce Type: new
Abstract: With regard to the coupling constant and the strong magnetic field of neutron stars, we have studied these stars in the 4D Einstein Gauss Bonnet (4D EGB) gravity model in order to grasp a better understanding of these objects. In this paper, we have shown that the neutron star properties are considerably affected by the coupling constant and magnetic field. We have found that as a consequence of the strong magnetic field and the coupling constant, the maximum mass and radius of a neutron star are increasing functions of the coupling constant, while Schwarzschild radius, compactness, surface gravitational redshift, and Kretschmann scalar are decreasing functions. Additionally, our study has shown that the physical properties of a magnetized neutron star are greatly influenced not only by the strong magnetic field, but also by the anisotropy. Moreover, we have shown that to obtain the hydrostatic equilibrium configuration of the magnetized material, both the local anisotropy effect and the anisotropy due to the magnetic field should be considered. Finally, we have found that in the anisotropic magnetized neutron stars, the maximum mass and radius do not always increase with increasing the internal magnetic field.
Understanding Neutron Stars in 4D Einstein Gauss Bonnet Gravity
In this study, we have delved into the properties of neutron stars by considering the coupling constant and the strong magnetic field in the 4D Einstein Gauss Bonnet (4D EGB) gravity model. By exploring these factors, we aim to gain a better understanding of the behavior and characteristics of these celestial objects.
Impact of Coupling Constant and Magnetic Field
Our findings reveal that the coupling constant and magnetic field significantly affect the properties of neutron stars. The maximum mass and radius of a neutron star are found to increase with the coupling constant. On the other hand, the Schwarzschild radius, compactness, surface gravitational redshift, and Kretschmann scalar decrease with increasing coupling constant.
Influence of Strong Magnetic Field and Anisotropy
Our study highlights that the physical properties of magnetized neutron stars are greatly influenced by both the strong magnetic field and anisotropy. It is important to consider both the local anisotropy effect and the anisotropy caused by the magnetic field to accurately determine the hydrostatic equilibrium configuration of the magnetized material within neutron stars.
Non-Linear Relationship Between Maximum Mass/Radius and Internal Magnetic Field
Contrary to expectations, our research demonstrates that in anisotropic magnetized neutron stars, the maximum mass and radius do not always increase with an increase in the internal magnetic field. This suggests a non-linear relationship between these factors, introducing complexity into our understanding of neutron star behavior.
Roadmap for Future Research
Building upon our findings, there are several potential challenges and opportunities to explore in future research on neutron stars:
- Further investigate the precise relationship between the coupling constant and neutron star properties, utilizing simulations and observational data for validation.
- Explore the impact of additional factors on neutron star behavior, such as rotation, temperature, and composition, to obtain a more comprehensive understanding of these celestial objects.
- Investigate the role of anisotropy and magnetic fields in other types of stars and compact objects, expanding our knowledge of their physical behavior.
- Collaborate with astronomers and astrophysicists to incorporate observational data into theoretical models, enabling more accurate predictions and explanations of neutron star properties.
In conclusion, our study sheds light on the intricate relationship between the coupling constant, strong magnetic field, anisotropy, and various properties of neutron stars. By delving deeper into this research field, we can continue to uncover new insights and enhance our understanding of these fascinating celestial objects.