Erratum: Isolated and binary neutron stars in dynamical Chern-Simons gravity [Phys. Rev. D 87, 084058 (2013)]
Erratum: Isolated and binary neutron stars in dynamical Chern-Simons gravity [Phys. Rev. D 87, 084058 (2013)]
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勘误表：动力学陈-西蒙斯引力中的孤立和双中子星 [Phys.
DOI：
10.1103/physrevd.93.089909
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发表时间：
2016
影响因子：
5
通讯作者：
Takahiro Tanaka
中科院分区：
文献类型：
--
作者：
Kent Yagi;L. Stein;N. Yunes;Takahiro Tanaka
在原来的论文中，陈-西蒙斯修正密切轨道元素由于偶极-偶极相互作用的标量场推导方程。(130)通过积分出相互作用拉格朗日量，这被认为是标量场的动力学项[Eq. (122)在原始文件]，使用标量场的解决方案。然而，这样的动力学项只导致标量场演化方程的左侧，即，□ n = J;（1）其中J是标量场方程的有效源项[1]。为了得到正确的相互作用拉格朗日量，还需要包括源项（Lsource），它再现了上述演化方程的右侧。这样一个附加项的拉格朗日密度由− <$J给出。因此，方程(126)需要被改变成
In the original paper, the Chern-Simons correction to the osculating orbital elements due to the dipole-dipole interaction for the scalar field was derived in Eq.(130) by integrating out the interaction Lagrangian, which was taken to be the kinetic term for the scalar field [Eq.(122) in the original paper], using the scalar field solution. However, such a kinetic term only leads to the left-hand side of the evolution equation for the scalar field, ie,□ ϑ= J;(1) where J is the effective source term of the scalar field equation [1]. To obtain the correct interaction Lagrangian, one also needs to include the source term (Lsource) that reproduces the right-hand side of the above evolution equation. The Lagrangian density for such an additional term is given by− ϑJ. Therefore, Eq.(126) needs to be changed to