标题： 研究施瓦茨希尔德时空中的静态点标量电荷领域 显示英文标题

标题： Examining the Field of Static Point Scalar Charge in Schwarzschild Spacetime

摘要： 在本文中，我们研究了标量点电荷在弯曲时空中的场的一些方面。 首先，我们找到了在施瓦茨希尔德时空中由于点电荷产生的标量场的闭合形式解。 然后，我们将其局部展开为r（电荷的坐标距离）的幂级数，并与Quinn对标量电荷场的局部展开进行比较。 我们展示了逐项匹配，除了由于Quinn表达式中一个黎曼张量项的错误导致的一项不匹配。 我们展示了正确的表达式，详细的推导将在后续论文中进行。 显示英文摘要

摘要： In this paper we examine some aspects of the field of a scalar point charge in curved spacetimes. First we find the closed form solution for the scalar field due to a point charge in Schwarzschild spacetime. Then we expand it locally in powers of r (coordinate distance from the charge) and compare it to Quinn's local expansion for the field of scalar charge. We show a term by term match, except for a mismatch in one term arising due to an error in a Riemann tensor term in Quinn's expression. We show the correct expression, the detailed derivation of which will be subject of a later paper.