Stress-energy tensors and the Lichnerowicz Laplacian
Stress-energy tensors and the Lichnerowicz Laplacian
复制标题
DOI：
10.1016/j.geomphys.2008.05.008
复制
发表时间：
2008-10
影响因子：
1.5
通讯作者：
P. Baird
中科院分区：
文献类型：
--
作者：
P. Baird
对于变分问题的临界点，我们关联一个无发散的对称2-张量，称为应力-能量张量。我们按照Lichnerowicz的定义计算这个物体的拉普拉斯算子。这有一个性质，它与发散交换，只要里奇曲率是协变常数。推导了不同应力-能量张量之间的关系，讨论了球与球之间的增长公式和调和映射。
To a critical point of a variational problem, we associate a divergence-free symmetric 2-tensor, called the stress-energy tensor. We calculate the Laplacian of this object as defined by Lichnerowicz. This has the property that it commutes with the divergence provided the Ricci curvature is covariantly constant. We deduce relations between different stress-energy tensors, discuss growth formulae and harmonic maps between spheres.