Gravitational self-force in nonvacuum spacetimes
Gravitational self-force in nonvacuum spacetimes
复制标题
非真空时空中的引力自力
DOI：
--
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发表时间：
2014
期刊：
影响因子：
--
通讯作者：
E. Poisson
中科院分区：
文献类型：
--
作者：
Peter Zimmerman;E. Poisson
到目前为止，引力自作用力是在背景时空中表述的，在背景时空中度规是真空中爱因斯坦场方程的解。虽然这个公式足以描述一个小物体围绕黑洞的运动，但其他应用需要一个更一般的公式，允许非真空背景时空。我们提供了一个基础，这样的扩展，并进行了具体的制定的重力在两个特定的情况下。首先，我们考虑一个质量为m，带标量电荷q的粒子在含有背景标量场的背景时空中运动。在第二部分中，我们考虑一个质量为m，电荷为e的粒子在真空时空中运动。自作用力包含了引力摄动与标量场或电磁场摄动之间的所有耦合。它被表示为包含在背景时空中定义并在粒子当前位置计算的张量的局部项之和，以及依赖于粒子过去历史的尾积分。因为这样的表达式很少是一个有用的出发点明确评估的自我力，我们还提供了协变表达式的奇异电位，表示为当地的世界线附近的扩展;这些可以参与建设的有效扩展源的正规潜力，或在计算正则化参数时，自我力计算为球谐模式的总和。
The gravitational self-force has thus far been formulated in background spacetimes for which the metric is a solution to the Einstein field equations in vacuum. While this formulation is sufficient to describe the motion of a small object around a black hole, other applications require a more general formulation that allows for a nonvacuum background spacetime. We provide a foundation for such extensions, and carry out a concrete formulation of the gravitational self-force in two specific cases. In the first we consider a particle of mass $m$ and scalar charge $q$ moving in a background spacetime that contains a background scalar field. In the second we consider a particle of mass $m$ and electric charge $e$ moving in an electrovac spacetime. The self-force incorporates all couplings between the gravitational perturbations and those of the scalar or electromagnetic fields. It is expressed as a sum of local terms involving tensors defined in the background spacetime and evaluated at the current position of the particle, as well as tail integrals that depend on the past history of the particle. Because such an expression is rarely a useful starting point for an explicit evaluation of the self-force, we also provide covariant expressions for the singular potentials, expressed as local expansions near the world line; these can be involved in the construction of effective extended sources for the regular potentials, or in the computation of regularization parameters when the self-force is computed as a sum over spherical-harmonic modes.
影响因子：
5
作者：
Niels Warburton;S. Akçay;L. Barack;J. Gair;N. Sago
通讯作者：
Niels Warburton;S. Akçay;L. Barack;J. Gair;N. Sago