Rastall引力中的球对称解  

Spherically symmetric solutions in Rastall gravity

作　　者：奚萍 代彬彬 盛磊 付林圣 XI Ping;DAI Binbin;SHENG Lei;FU Linsheng(Mathematics and Science College,Shanghai Normal University,Shanghai 200234,China)

机构地区：[1]上海师范大学数理学院,上海200234

出　　处：《上海师范大学学报（自然科学版）》2023年第3期347-351,共5页Journal of Shanghai Normal University(Natural Sciences)

摘　　要：研究了在时空背景中充满正压物质的情况下,Rastall引力中的球对称解.首先,研究了时空背景中均匀分布着压强为0的物质的情形.在λ=2/3时,找到一个Rastall引力中的球对称解析解,这个解中的时间分量是一个常数,空间的径向分量是一个含r的函数.这个解可以描写四维时空中的“尘埃球”.其次,研究了时空背景中任意分布着正压物质的情形.用数值方法求解Rastall引力场方程和描写能动张量和曲率标量之间关系的方程.数值结果表明,球对称的引力势空间分布极其复杂,但在r趋于无穷时引力势的时间分量和空间分量均趋于1.In this paper,we consider the spherically symmetric solutionstothe field equation of Rastall gravity in the background of positive pressure matter.Firstly,we study the spherically symmetric solution in Rastall gravityin the background of matter with zero pressure uniformly distributed.An analytical solution is obtained as λ=2/3,the time component of which is a constant,and the radial component of which is a function of r.This solution can describe a"dust sphere"in the four-dimensional spacetime.Secondly,we investigate the numerical solution of the Rastall gravitational field equation and the equation describing the relationship between the energy-momentum tensor and the Ricci scalar in the background of positive pressure matter arbitrarily distributed.The numerical results show that the spherically symmetrical gravitational potential is extremely complicated.Fortunately,the time and space components of the gravitational potential tend to 1 as r approaches infinity.

关 键 词：Rastall引力 球对称解 正压物质 

分 类 号：O412.1[理学—理论物理]