Deformed dispersion relations are considered in the study of equations of state of Fermi gas with applications to compact objects. Different choices of deformed energy relations are used in the formulation of our model. As a first test, we consider a relativistic star with a simple internal structure. The mass-radius diagrams obtained suggest a positive influence of deformed Fermi gas, depending of the functions employed. In addition, we comment on how realistic equations of state, in which interactions between nucleons are taken into account, can be addressed.

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修正色散关系对自由费米气体的影响：状态方程及其在天体物理学中的应用

在研究费米气体的状态方程并应用于致密物体时，考虑了变形的色散关系。在我们的模型的制定中使用了变形能量关系的不同选择。作为第一个测试，我们考虑具有简单内部结构的相对论恒星。获得的质量半径图表明变形费米气体的积极影响，这取决于所采用的函数。此外，我们评论了如何解决现实的状态方程，其中考虑了核子之间的相互作用。