Bumblebee引力下的中子星质量半径关系和I-Q关系  

Mass-radius and I-Q relationships of neutron stars in Bumblebee gravity

作　　者：刘仰 桑澳菲 杨微 胡亚鹏[1] LIU Yang;SANG Ao-Fei;YANG Wei;HU Ya-Peng(College of Physics,Nanjing University of Aeronautics and Astronautics,Nanjing 211106,China;Department of Physics,Southern University of Science and Technology,Shenzhen 518055,China)

机构地区：[1]南京航空航天大学物理学院,南京211106 [2]南方科技大学物理系,深圳518055

出　　处：《中国科学：物理学、力学、天文学》2024年第9期125-132,共8页Scientia Sinica Physica,Mechanica & Astronomica

基　　金：国家自然科学基金(编号:12175105,11575083)资助项目。

摘　　要：近年来,Bumblebee引力理论因能导致洛伦兹对称性破缺而广受关注.本文基于这种修改引力,在静态球对称理想流体情况下计算得到了中子星内部Tolman-Oppenheimer-Volkoff (简称TOV)方程.以该方程为基础,为了得到解析的定量计算结果,我们采用了简单的n=0的多方模型.在该模型下,我们解析得到了Bumblebee引力下中子星的质量-半径关系,发现洛伦兹破缺参数可以提升中子星的质量上限.另外,我们也计算得到了中子星在牛顿极限及慢速旋转近似下转动惯量I与四极矩Q的具体关系式,得出洛伦兹破缺参数不会改变无量纲化的I和Q的平方正比关系,但会改变其比例系数这一重要结论.我们的解析计算结果为检验洛伦兹对称性破缺提供了可能的理论支持.Bumblebee gravity theory has garnered considerable interest in recent years owing to its potential to induce Lorentz symmetry breaking.This paper presents our calculations regarding the interior Tolman-Oppenheimer-Volkoff (TOV)equation of neutron stars under static conditions,using this modified gravity for spherically symmetric ideal fluids.To obtain analytical quantitative results,we applied a simple polytropic model with n=0.Within this model,we analytically derived the mass-radius relationship of neutron stars under the influence of Bumblebee gravity.We found that the Lorentz breaking parameter can enhance the upper limit of a neutron star’s mass.Moreover,we computed the specific relationship between the rotational inertia I and the quadrupole moment Q of neutron stars under the Newtonian limit and the slow-rotation approximation.Our findings indicate that while the Lorentz breaking parameter does not change the square proportionality relationship of the dimensionless I and Q,it does indeed modify their proportionality coefficient.Our analytical results provide potential theoretical support for testing the breaking of Lorentz symmetry.

关 键 词：中子星 修改引力 质量-半径关系 I-Q关系 牛顿极限 

分 类 号：P145.6[天文地球—天体物理]